Einar Hille's publications

There are several lists of Einar Hille's publications but all seem to miss rather a large number of his publications. We make no claims that the list below is complete - in fact it is certain that items will be missing - but it does seem to give a more complete list than any other we have found.


  1. Über die Variation der Bogenlänge bei konformer Abbilding von Kreisbereichen, Ark. Mat. Astron. Fys. 11 (27) (1917), 11

  2. Some problems concerning spherical harmonics (Dissertation), Stockholm Ark. Mat. Astron. Fys. 13(17) (1918), 76.

  3. An integral equality and its applications, Proc. Natl. Acad. Sci. USA 7 (1921), 303-305.

  4. Oscillation theorems in the complex domain, Trans. Amer. Math. Soc. 23 (4) (1922), 350-385.

  5. A Pythagorean functional equation, Ann. Math. (2) 24 (2) (1922), 175-180.

  6. On the zeros of Sturm-Liouville functions, Ark. Mat. Astron. Fys. 16(17) (1922), 2O.

  7. Convex distribution of the zeros of Sturm-Liouville functions, Bull. Amer. Math. Soc. 28 (5) (1922), 261-265.

  8. A correction: Convex distribution of the zeros of Sturm-Liouville functions, Bull. Amer. Math. Soc. 28 (9) (1922), 462.

  9. On the zeros of Legendre functions, Ark. Mat. Astron. Fys. 17(22) (1923).

  10. Note on Dirichlet's series with complex exponents, Ann. Math. (2) 25 (3) (1924), 261- 278.

  11. On the zeros of Mathieu functions, Proc. London Math. Soc. 25 (1924), 185-237.

  12. On the zeros of the functions of the parabolic cylinder, Ark. Mat. Astron. Fys. 18(26) (1924).

  13. An existence theorem, Trans. Amer. Math. Soc. 26 (2) (1924), 241-248.

  14. On the zeros of the functions defined by linear differential equations of the second order, in Proc. Int. Math. Cong., Toronto, vol. 1 (1924), 511-519.

  15. A general type of singular point, Proc. Natl. Acad. Sci. USA 10 (1924), 488-493.

  16. Review: Introduction To The Mathematical Theory Of The Conduction Of Heat In Solids, by H S Carslaw, Amer. Math. Monthly 31 (9) (1924), 447-449.

  17. A note on regular singular points, Ark. Mat. Astron. Fys. 19A(2) (1925).

  18. On the Zeros of Mathieu Functions, Proc. London Math. Soc. (2) 23 (1) (1925), 185.

  19. Review: Die Methoden der theoretischen Physik, by Felix Auerbach, Bull. Amer. Math. Soc. 31 (9-10) (1925), 555-556.

  20. Review: Methoden der mathematischen Physik. Bd. I, by R Courant and D Hilbert, Bull. Amer. Math. Soc. 31 (9-10) (1925), 456-459.

  21. Some remarks on Dirichlet series, Proc. London Math. Soc. 25 (1) (1926), 177-184.

  22. Miscellaneous questions in the theory of differential equations. I. On the method of Frobenius, Ann. Math. (2) 27 (3) (1926), 195-198.

  23. On Laguerre's series: First note, Proc. Natl. Acad. Sci. USA 12 (1926), 261-265.

  24. On Laguerre's series: Second note, Proc. Natl. Acad. Sci. USA 12 (1926), 265-269.

  25. On Laguerre's series: Third note, Proc. Natl. Acad. Sci. USA 12 (1926), 548-552.

  26. A class of reciprocal functions, Ann. Math. (2) 27 (4) (1926), 427-464.

  27. Problems and Solutions: Solutions: 3191, Amer. Math. Monthly 34 (4) (1927), 220.

  28. Zero point problems for linear differential equations of the second order, Mat. Tidsskr. 8 (1927), 25-44.

  29. On the logarithmic derivatives of the gamma function, Dan. Vid. Selsk. Mat. Fys. Medd. 8(1) (1927).

  30. A class of functional equations, Ann. Math. (2) 29 (1-4) (1927/28), 215-222.

  31. (With G Rasch) Über die Nullstellen der unvollständigen Gammafunktion P(z, p). II, Geometrisches über die Nullstellen. Math. Z. 29 (1928), 319-334.

  32. Note on the behavior of certain power series on the circle of convergence with application to a problem of Carleman, Proc. Natl. Acad. Sci. USA 14 (1928), 217-220.

  33. (With J D Tamarkin) On the characteristic values of linear integral equations, Proc. Natl. Acad. Sci. USA 14 (1928), 911-914.

  34. (With J D Tamarkin) On the summability of Fourier series, Proc. Natl. Acad. Sci. USA 14 (1928), 915-918.

  35. Note on the preceding paper by Mr Peek: "Solution to a problem in diffusion employing a non-orthogonal sine series", Ann. Math. (2) 30 (1-4) (1928/29), 270-271.

  36. (With J D Tamarkin) On the summability of Fourier series. Second note, Proc. Natl. Acad. Sci. USA 15 (1929), 41-42.

  37. (With J D Tamarkin) Remarks on a known example of a monotone continuous function, Amer. Math. Monthly 36 (5) (1929), 255-264.

  38. Note on a power series considered by Hardy and Littlewood, J. London Math. Soc. 4 (3) (1929), 176-182.

  39. Note on Some Hypergeometric Series of Higher Order, J. London Math. Soc. 4 (1) (1929), 50-54.

  40. (With J D Tamarkin) Sur une relation entre des resultants de MM. Minetti et Valiron, C.R. Acad. Sci. Paris 188 (1929), 1142.

  41. Review: Exercices d'Analyse, vol. 1, by Gaston Julia, Bull. Amer. Math. Soc. 35 (5) (1929), 739.

  42. Essai d'une bibliographie de la représentation analytique d'une fonction monogène, Acta Math. 52 (1) (1929), A1-A79.

  43. Über die Nullstellen der unvollständigen Gammafunktion P(z, rho), Math. Z. 29 (1) (1929), 319-334.

  44. Review: Six Lectures on Recent Researches in the Theory of Fourier Series, by Ganesh Prasad, Amer. Math. Monthly 36 (10) (1929), 530-532.

  45. On functions of bounded deviation, Proc. London Math. Soc. 31 (1) (1930), 165-173.

  46. Bemerkung zu einer Arbeit des Herrn Müntz, Math. Z. 32 (1) (1930), 422-425.

  47. (With J D Tamarkin) On the theory of linear integral equations. I, Ann. Math. (2) 31 (3) (1930), 479-528.

  48. (With J D Tamarkin) On the summability of Fourier series. Third note, Proc. Natl. Acad. Sci. USA 16 (1930), 594-598.

  49. (With J D Tamarkin) On the characteristic values of linear integral equations, Acta Math. 57 (1) (1931), 1-76.

  50. (With H F Bohnenblust) Sur la convergence absolue des series de Dirichlet, C.R. Acad. Sci. Paris 192 (1931), 30-52.

  51. (With H F Bohnenblust) On the absolute convergence of Dirichlet series, Ann. Math. (2) 32 (3) (1931), 600-622.

  52. (With J D Tamarkin) On the summability of Fourier series. Fourth note, Proc. Natl. Acad. USA 17 (1931), 576-380.

  53. Review: Infinite Series, by Tomlinson Fort, Amer. Math. Monthly 38 (5) (1931), 280-282.

  54. (With J D Tamarkin) On the summability of Fourier series. I, Trans. Amer. Math. Soc. 34 (4) (1932), 757-783.

  55. Summation of Fourier series, Bull. Amer. Math. Soc. 38 (8) (1932), 505-528.

  56. Thomas Hakon Gronwall - In memoriam, Bull. Amer. Math. Soc. 38 (11) (1932), 775-786.

  57. (With H F Bohnenblust) Remarks on a problem of Toeplitz, Ann. Math. (2) 33 (4) (1932), 785-786.

  58. (With J D Tamarkin) On the summability of Fourier series. II, Ann. Math. (2) 34 (2) (1933), 329-348.

  59. (With J D Tamarkin) Addition to the paper "On the summability of Fourier series. II", Ann. Math. 34 (1933), 602-605.

  60. (With J D Tamarkin) On the summability of Fourier series. III, Math. Ann. 108 (1) (1933), 525-577.

  61. (With J D Tamarkin) On a theorem of Paley and Wiener, Ann. Math. (2) 34 (3) (1933), 606-614.

  62. (With J D Tamarkin) Questions of relative inclusion in the domain of Hausdorff means, Proc. Natl. Acad. Sci. USA 19 (1933), 573-577.

  63. On the complex zeros of the associated Legendre functions, J. London Math. Soc. 8 (3) (1933), 216-217.

  64. (With J D Tamarkin) On the theory of Fourier transforms, Bull. Amer. Math. Soc. 39 (10) (1933), 768-774.

  65. (With J D Tamarkin) On moment functions, Proc. Natl. Acad. Sci. USA 19 (1933), 902-908.

  66. (With J D Tamarkin) On the theory of Laplace integrals, Proc. Natl. Acad. Sci. USA 19 (1933), 908-912.

  67. Über die Nullstellen der Hermiteschen Polynome, Jber. Deutsch. Math. Verein. 44 (1934), 162-165.

  68. (With J D Tamarkin) A remark on Fourier transforms and functions analytic in a half-plane, Composit. Math. 1 (1934), 98-102.

  69. (With J D Tamarkin) On the theory of Laplace integrals. II, Proc. Natl. Acad. Sci. USA 20 (1934), 140-144.

  70. (With J D Tamarkin) On the theory of linear integral equations. II, Ann. Math. (2) 35 (3) (1934), 445-455.

  71. (With J D Tamarkin) On the summability of Fourier series. Fifth note, Proc. Natl. Acad. Sci. USA 20 (1934), 369-372.

  72. On Laplace integrals, Att. Skand. Matematikerkong. 6 (1934), 216-227.

  73. (With A C Offord and J D Tamarkin) Some observations on the theory of Fourier transforms, Bull. Amer. Math. Soc. 41 (6) (1935), 427-436.

  74. Review: Linear Transformations in Hilbert Space and their Applications to Analysis, by M H Stone, Bull. Amer. Math. Soc. 40 (11) (1934), 777-780.

  75. Review: The Fourier Integral and Certain of its Applications, by Norbert Wiener, Bull. Amer. Math. Soc. 41 (9) (1935), 595-597.

  76. (With J D Tamarkin) On the absolute integrability of Fourier transforms, Fund. Math. 25 (1935), 329-352.

  77. The mathematical congress in Stockholm, Bull. Amer. Math. Soc. 41 (1) (1935), 4-5.

  78. Notes on linear transformations. I, Trans. Amer. Math. Soc. 39 (1) (1936), 151-153.

  79. (With Otto Szasz) On the completeness of Lambert functions, Bull. Amer. Math. Soc. 42 (6) (1936), 411-418.

  80. (With Otto Szasz) On the completeness of Lambert functions. II, Ann. Math. (2) 37 (4) (1936), 801-815.

  81. A problem in "Factorisation Numerorum", Acta Arith. 2 (1936), 134-144.

  82. Review: Interpotatory Function Theory, by J M Whittaker, Bull. Amer. Math. Soc. 42 (5) (1936), 305-306.

  83. Review: An Introduction to the Theory of Functions of a Complex Variable, by E T Copson, Bull. Amer. Math. Soc. 42 (3) (1936), 171.

  84. Review: Moderna Teoria delle Funzioni di Variabile Reale. Parte Prima, by G Vitali and G Sansone, Bull. Amer. Math. Soc. 42 (1) (1936), 15.

  85. The inversion problem of Möbius, Duke Math. J. 3 (1937), 549-568.

  86. (With G Szego and J D Tamarkin) On some generalizations of a theorem of A Markoff, Duke Math. J. 3 (4) (1937), 729-739.

  87. On the absolute convergence of polynomial series, Amer. Math. Monthly 45 (4) (1938), 220-226.

  88. On semi-groups of transformations in Hilbert space, Proc. Natl. Acad. Sci. USA 24 (1938), 159-161.

  89. Analytical semi-groups in the theory of linear transformations, Att. Skand. Matematikerkong. (Helsingfors) (1938), 135-145.

  90. Notes on linear transformations. II. Analyticity of semi-groups, Ann. Math. 40 (1939), 1-47.

  91. Bilinear formulas in the theory of the transformation of Laplace, Composit. Math. 6 (1939), 93-102.

  92. Review: The Theory of Linear Operators from the Standpoint of Differential Equations of Infinite Order, by H T Davis, Bull. Amer. Math. Soc. 45 (3) (1939), 220-222.

  93. Review: Moderna Teoria delle Funzioni di Variabile Reale. Part 2. Sviluppi in Serie di Funzioni Ortogonali, by G Vitali and G Sansone, Bull. Amer. Math. Soc. 45 (3) (1939), 218.

  94. Review: The Theory and Construction of Nondifferentiable Functions, by A N Singh, Bull. Amer. Math. Soc. 45 (3) (1939), 217-218.

  95. Review: Eindeutige analytische Funktionen, by R Nevanlinna, Bull. Amer. Math. Soc. 45 (1) (1939), 52-55.

  96. Remarks concerning group spaces and vector spaces, Composit. Math. 6 (1939), 375-381.

  97. Contributions to the theory of Hermitian series, Duke Math. J. 5 (1939), 875- 936.

  98. Sur les séries associées à une série d'Hermite, C. R. Acad. Sci. Paris 209 (1939), 714-716.

  99. Contributions to the theory of Hermitian series. II, The representation problem, Trans. Amer. Math. Soc. 47 (1940), 80-94.

  100. (With J A Shohat and Joseph L Walsh) A Bibliography on Orthogonal Polynomials (National Research Council of the National Academy of Sciences, Washington, D. C., 1940).

  101. A class of differential operators of infinite order. I, Duke Math. J. 7 (1940), 458-495.

  102. (With H L Garabedian and H S Wall) Formulations of the Hausdorff inclusion problem, Duke Math. J. 8 (1941), 193-213.

  103. On the oscillation of differential transforms. II. Characteristic series of boundary value problems, Trans. Amer. Math. Soc. 52 (1942), 463-497.

  104. Gelfond's solution of Hilbert's seventh problem, Amer. Math. Monthly 49 (1942), 654-661.

  105. Representation of one-parameter semi-groups of linear transformations, Proc. Natl. Acad. Sci. USA 28 (1942), 175-178.

  106. On the analytical theory of semi-groups, Proc. Natl. Acad. Sci. USA 28 (1942), 421-424.

  107. (With G Szego) On the complex zeros of the Bessel functions, Bull. Amer. Math. Soc. 49 (1943), 605-610.

  108. (With Max Zorn) Open additive semi-groups of complex numbers, Ann. Math. (2) 44 (1943), 554-561.

  109. On the theory of characters of groups and semi-groups in normed vector rings, Proc. Natl. Acad. Sci. USA 30 (1944), 58-60.

  110. On the oscillation of differential transforms and the characteristic series of boundary-value problems, Univ. California Publ. Math. (N. S.) 2 (1944), 161-168.

  111. Remarks on ergodic theorems, Trans. Amer. Math. Soc. 57 (1945), 246-269.

  112. (With W B Caton) Laguerre polynomials and Laplace integrals, Duke Math. J. 12 (1945), 217-242.

  113. (With N Dunford) The differentiability and uniqueness of continuous solutions of addition formulas, Bull. Amer. Math. Soc. 53 (1947), 799-805.

  114. Review: Moderna teoria dette junzioni di variabile reale, by G Vitali and G Sansone, Bull. Amer. Math. Soc. 53 (7) (1947), 736.

  115. Sur les semi-groupes analytiques, C.R Acad. Sci. Paris 225 (1947), 445-447.

  116. Jacob Tamarkin - His Life and Work, Bull. Amer. Math. Soc. 53 (1947), 440-457.

  117. Non-oscillation theorems, Trans. Amer. Math. Soc. 64 (1948), 234-252.

  118. Functional Analysis and Semi-Groups, Vol. XXXI (American Mathematical Society, New York, 1948).

  119. On the integration problem for Fokker-Planck's equation in the theory of stochastic processes, C.R. Onzième Cong. Math. Scand. (Trondheim) (1949), 183-194.

  120. Les semi-groupes linéaires, C.R Acad. Sci. Paris 228 (1949), 35-37.

  121. Remarks on a paper be Zeev Nehari, Bull. Amer. Math. Soc. 55 (1949), 552-543.

  122. Lie theory of semi-groups of linear transformations, Bull. Amer. Math. Soc. 56 (1950), 89-114.

  123. On the differentiability of semi-group operators, Acta Sci. Math. Szeged 12B (1950), 19-24.

  124. Les probabilités continues en chaîne, C. R. Acad. Sci. Paris 230 (1950), 34-35.

  125. "Explosive" solutions of Fokker-Planck's equation, in Proc. Int. Cong. Math., Cambridge, Massachusetts, vol. 1 (1950), 453.

  126. Behavior of solutions of linear second order differential equations, Ark. Mat. 2 (1951), 25-41.

  127. On the generation of semi-groups and the theory of conjugate functions, Proc. R. Physiogr. Soc. Lund. 21(14) (1952), 122-134.

  128. A note on Cauchy's problem, Ann. Polon. Math. 25 (1952), 56-68.

  129. Review: Moderna teoria dette funzioni di variabile reale, by G Vitali and G Sansone, Bull. Amer. Math. Soc. 58 (6) (1952), 681.

  130. Review: Handbuch der Laplace-Transformation. Vol. 1. Theorie der Laplace- Transformation, by G Doetsch, Bull. Amer. Math. Soc. 58 (6) (1952), 670-673.

  131. Review: Lezioni di analisi, by F Severi and G Scorza Dragoni, Bull. Amer. Math. Soc. 58 (3) (1952), 417-418.

  132. Such stuff as dreams are made on - in mathematics, American Scientist 41 (1953), 106-112.

  133. Mathematics and mathematicians from Abel to Zermelo, Math. Mag. 26 (1953), 127-146.

  134. Une généralisation du problème de Cauchy, Ann. Inst. Fourier (Grenoble) 4 (1953), 31-48.

  135. Some extremal properties of Laplace transforms, Math. Scand. 1 (1953), 227-236.

  136. Quelques remarques ser les equations de Kolmogoroff, Bull. Soc. Math. Phys. R.P. Serbie 5 (3-4) (1953), 3-14.

  137. The abstract Cauchy problem and Cauchy's problem for parabolic differential equations, J. Anal. Math. 3 (1954), 81-196.

  138. Le problème abstrait de Cauchy, Univ. e Politecnico Torino. Rend. Sem. Mat. 12 (1953), 95-103.

  139. Sur le problème abstrait de Cauchy, C. R. Acad. Sci. Paris 236 (1953), 1466-1467.

  140. An abstract formulation of Cauchy's problem, Tolfte Skandinaviska Matematikerkongressen, Lund, 1953 (Lunds Universitets Matematiska Institution, Lund, 1954), 79-89.

  141. (With George Klein) Riemann's localization theorem for Fourier series, Duke Math. J. 21 (1954), 587-591.

  142. On the integration of Kolmogoroff's differential equations, Proc. Natl. Acad. Sci. USA 40 (1954), 20-25.

  143. Some aspects of Cauchy's problem, in Proc. Int. Cong. Math. 1954, Amsterdam, Vol. 3 (1954), 109-116.

  144. Sur un théorème de perturbation, Rend. Sem. Mat. Torino 13 (1954), 169-184.

  145. Perturbation methods in the study of Kolmogoroff's equations, Proc. Int. Cong. Math. 1954, Amsterdam, Vol. 3 (1954), 365-376.

  146. Über eine Klasse Differentialoperatoren vierter Ordnung, S.-B. Berlin. Math. Ges. (1954-55), 39-54.

  147. On a class of orthonormal functions, Rend. Sem. Mat. Univ. Padova 25 (1956), 214-249.

  148. Quelques remarques sur l'équation de la chaleur, Rend. Mat. e Appl. (5) 15 (1956), 102-118.

  149. Problème de Cauchy: Existence et unicité des solutions, Bull. Math. Soc. Set. Math. Phys. R.P. Roumanie 1(49) (2) (1957), 31-35.

  150. (With Ralph S Phillips) Functional analysis and semi-groups (Revised Edition) (American Mathematical Society, Providence, R. I., 1957).

  151. Remarques sur les systèmes des equations différentielles linéaires à une infinité d'inconnues, J. Math. Pures Appl. (9) 37 (1958), 575-583.

  152. On roots and logarithms of elements of a complex Banach algebra, Math. Ann. 136 (1958), 46-57.

  153. An application of Prüfer's method to singular boundary value problems, Math. Z. 72 (1959), 95-106.

  154. Analytic function theory. Vol. 1 (Ginn and Company, Boston, 1959).

  155. Review: Trigonometric Series Vols. 1 and 2, by A Zygmund, Science New Series 130 (3376) (1959), 618.

  156. Sur les fonctions analytiques définies par des séries d'Hermite, J. Math. Pures Appl. (9) 40 (1961), 335-342.

  157. Linear differential equations in Banach algebras, in Proc. Int. Symp. Linear Spaces (Jerusalem Academic Press, Jerusalem, 1961), 263-273.

  158. Pathology of infinite systems of linear first order differential equations with constant coefficients, Ann. Mat. Pures Appl. (4) 55 (1961), 133-148.

  159. Remarks on transfinite diameters, in 1962 General topology and its relations to modern analysis and algebra, Proc. Symp. Prague 1961 (Czech. Acad. Sci., 1962), 211-220.

  160. Remarks on differential equations in Banach algebras, in Studies in mathematical analysis and related topics, Essays in Honor of George Polya (Stanford University Press, Stanford, 1962), 140-145.

  161. (With Ralph S Phillips) Functional analysis and semi-groups (Russian) (Izdat. Inostran. Lit., Moscow, 1962).

  162. Analytic function theory. Vol. II (Ginn and Co., Boston, Mass.-New York-Toronto, Ont., 1962).

  163. Green's transforms and singular boundary value problems, J. Math. Pures Appl. (9) 42 (1963), 331-349.

  164. On the function theorem in Banach algebras, Calcutta Math. Soc. Golden Jubilee Comment. Vol. 1958-59 (1963), 65-69.

  165. Linear differential equations in Banach algebras, Studia Math. (Ser. Specjalna) Zeszyt 1 (1963), 53-54.

  166. A note on transfinite diameters, J. Anal. Math. 14 (1965), 209-224. (Warning: Theorems 4 and 8 in this paper are false).

  167. Topics in classical analysis, in T L Saaty (ed.), Lectures on Modern Mathematics, Vol. 3 (Wiley, New York, 1965), 1-57.

  168. Some geometric extremal problems, J. Austral. Math. Soc. 6 (1966), 122-128.

  169. Some aspects of differential equations in B-algebras, in B R Gelbaum (ed.), Functional analysis, Proc. Conf. Univ. of Calif., Irvine 1966 (Thompson Book Co., Washington, D.C., 1966), 185-194.

  170. Some properties of the Jordan operator, Aequationes Math. 2 (1968), 105-110.

  171. (With G L Curme) Classical analytic representations, Quart. Appl. Math. 27 (1969), 185-192.

  172. On the Thomas-Fermi equation, Proc. Natl. Acad. Sci. USA 62 (1969), 7-10.

  173. Lectures on ordinary differential equations (Addison-Wesley Publ. Co., Reading, Mass.-London-Don Mills, Ont., 1969).

  174. Some aspects of the Thomas-Fermi equation, J. Anal. Math. 23 (1970), 147-170.

  175. Aspects of Emden's equation, J. Fac. Sci. Univ. Tokyo, Sect. I 17 (1970), 11-30.

  176. Review: Introduction to Complex Analysis, by Rolf Nevanlinna, V Paatero, T Kovari and G S Goodman, Amer. Math. Monthly 77 (1) (1970), 87-88.

  177. On a class of non-linear second order differential equations, Rev. de la Union Mat. Argent. 25 (1971), 319-334.

  178. Mean values and functional equations, CIME, La Mendola, 1970. CIME, ciclo III. Functional equations and Inequalities (Ediz. Cremonese, Rome, 1971), 153-162.

  179. Introduction to the general theory of reproducing kernels, Rocky Mountain J. Math. 2 (3) (1972), 321-368.

  180. On the Landau-Kallman-Rota inequality, J. Approx. Theory 6 (1972), 117-122.

  181. Generalizations of Landau's inequality to linear operators, Proc. Conf., Oberwolfach, 1971, Linear Oper. Approx. 20 (1972), 20-32.

  182. Quatre Lecons sur des Chapitres Choicis d'Analyse, in Conference at the Univ. de La Laguna, Tenerife, Spain (1972).

  183. Pseudo-poles in the theory of Emden's equation, Proc. Natl. Acad. Sci. USA 69 (1972), 1271-1272.

  184. On a class of series expansions in the theory of Emden's equation, Proc. Roy. Soc. Edinburgh 71 (2) (1972), 95-110.

  185. A note on quadratic systems, Proc. Roy. Soc. Edinburgh 72 (1) (1972), 17-37.

  186. Methods in classical and functional analysis. Addison-Wesley Series in Mathematics (Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1972).

  187. Review: Principles of functional analysis, by Martin Schechter, American Scientist 60 (3) (1972), 390-391.

  188. On a class of adjoint functional equations, Acta Sci. Math. (Szeged) 34 (1973), 141-161.

  189. Review: The development of the foundations of mathematical analysis from Euler to Riemann, by Ivor Grattan-Guinness, American Scientist 61 (2) (1972), 244.

  190. Finiteness of the order of meromorphic solutions of some nonlinear ordinary differential equations, Proc. Roy. Soc. Edinburgh 72 (4) (1973), 331- 336.

  191. (With Ralph S Phillips) Functional analysis and semi-groups. Third printing of the revised edition of 1957. American Mathematical Society Colloquium Publications, Vol. XXXI (American Mathematical Society, Providence, R. I., 1974).

  192. On Lappo-Danilevskij's solution of the Riemann problem for Fuchsian equations, Aequ. Math. 12 (1975), 275-276.

  193. Robert R. Kallman (ed.), Classical analysis and functional analysis: selected papers, Mathematicians of Our Time, Vol. 11 (The MIT Press, Cambridge, Mass.-London, 1975).

  194. On some generalizations of Malmquist's theorem, Math. Scand. 39 (1) (1976), 59-79.

  195. Ordinary differential equations in the complex domain. Pure and Applied Mathematics. Wiley-Interscience (John Wiley & Sons, New York-London-Sydney, 1976).

  196. Non-linear differential equation: Questions and some answers, Acta Univ. Ups. (Almqvist & Wiksell, Stockholm, 1977), 101-108.

  197. Remarks on Briot-Bouquet differential equations. I, Commentat. Math. (Special issue dedicated to W_adys_aw Orlicz on the occasion of his seventy-fifth birthday) 21 (1978), 119-131.

  198. Some remarks on Briot-Bouquet differential equations. II, J. Math. Anal. Appl. 65 (3) (1978), 572-585.

  199. Second order Briot-Bouquet differential equations, Acta Sci. Math. Szeged 40 (1-2) (1978), 63-72.

  200. Higher order Briot-Bouquet equations, Arkiv. Mat. 16 (2) (1978), 271-286.

  201. On a special Weyl-Titchmarsh problem, Integr. Equ. Oper. Theory 1 (2) (1978), 215-225.

  202. What's in a name, Science News 113 (12) (1978), 179.

  203. On a class of interpolation series, Proc. Roy. Soc. Edinburgh A 84 (3-4) (1979), 283-307.

  204. Hypergeometric functions and conformal mapping, J. Differ. Equ. 34 (1) (1979), 147-152.

  205. Analysis. Vol. I. Reprint of the 1964 original with corrections (Robert E Krieger Publishing Co., Huntington, N.Y., 1979).

  206. Contributions to the theory of Hermitian series. III. Mean values, Int. J. Math. Math. Sci. 3 (3) (1980), 407-421.

  207. Differential operators of infinite order, Proc. Roy. Soc. Edinburgh 86 (1-2) (1980), 85-101.

  208. In retrospect, Math. Intelligencer 3 (1) (1980-81), 3-13.

  209. (With Frank Cannonito) An elementary proof of the Jordan normal form theorem based on the resolvent, Intergr. Equ. Oper. Theory 4 (3) (1981), 343-349.

  210. Bibliography of Einar Hille, Integral Equations Operator Theory 4 (3) (1981), 330-342.

  211. Ordinary differential equations in the complex domain. Reprint of the 1976 original (Dover Publications, Inc., Mineola, NY, 1997).


JOC/EFR May 2017

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