B.Ya. Levin’s list of publications

 

1. Sur une generalisation du theoreme de Holder. Uchenye Zapiski Rostovskogo    

   Gosudarstvennogo Universiteta 1 (1934), 79-98 (in Russian, French summary).

 

2. Sur 1'intersection des surfaces. Uchenye Zapiski Rostovskogo Gosudarstvennogo Universiteta

   1 (1934), 145-148 (in Russian, French summary).

 

3. Sur la croissance d'une fonction entiere suivant un rayon et la distribution de ses zeros suivant leurs arguments. Matematich.  Sbornik 2 (44) (1937), 1097-1142  (in Russian, French sum­mary).

 

4.    Uber einige arithmetische Eigenschaften der holomorphen Funktionen. Zapiski Kharkovskogo Matematich. Obschestva (4) 15, no. 2 (1938), 43-50 (in Russian, German summary).

 

5. Sur les fonctions entieres de la croissance irreguliere. Trudy Odes'kogo Derzhavnogo

    Universiteta 2 (1938), 5-12   (in Ukrainian, French summary).

 

6. Sur quelques inegalites pour l'equation de Sturm-Liouville. Trudy Odes'kogo Derzhavnogo

   Universitetu 2 (1938), 39-43 (in Ukrainian, French summary).

 

 7.  (With B. Levitan) On Fourier series of generalized almost periodic functions. Dokl. Akad.

     Nauk SSSR 22 (1938), 543-546 (in Russian).

 

8.  (With D. Milman) On subspaces in the space Ñ which consist of functions   of bounded

     variation. Zapiski Kharkovskogo Matematich.  Obschestva (4) 16 (1940), 102-105  

     (in Russian, English summary).

 

9. (With-Â. Levitan) Addendum to the paper "On Fourier series of generalized almost periodic functions". Zapiski Kharkovskogo Matematich. Obschestva (4) 17 (1940), 109-110 (in Russian).

 

10. Sur certaines applications de la serie d'interpolation de Lagrange dans la theorie des fonctions entieres. Matematich. Sbornik 8 (50), no. 3, (1940), 437-454 (in Russian, French summary).

 

11.  (With M. Livsic) Quasianalytic classes of functions represented by Fourier  series.  

       Matematich. Sbornik 9 (51), no. 3, (1941), 693-711 (in Russian, English summary).

 

12. Sur la constant seculaire d'une fonction holomorphe presque periodique.
     C.R. (Dokl.) Akad. Sci.  URSS
33 (1941), 182-185 (in Russian).

 

13. On functions holomorphic in a half-plane. Trudy Odes'kogo Derzhavnogo Universitetv, 3

    (1941), 5-14 (in Russian, English summary).

 

14. On the classes (Wp) and (Bp) of almost periodic functions. Trudy Odes'kogo Derzhavnogo

 Universitetu 3 (1941), 135-139 (in Russian, English summary)

 

15.   Hermite criterion for integral functions of exponential type. I, II. Dokl. Akad. Nauk SSSR 41 (1943), 47-50, 99-100.

 

16.On a generalization of the Fejer-Riesz theorem. Dokl. Akad. Nauk SSSR 52 (1946), 291-294.        

      MR 8,152d.

 

 

17. (With S. Krein) On the convergence of singular integrals. Dokl. Akad. Nauk SSSR 60 (1948),  

      13-16 (in Russian) MR 10,34e.

 

18. (With S. Krein) On the strong representation of functions by singular inte­grals. Dokl. Akad.Nauk SSSR 60 (1948), 195-198 (in Russian) MR 10,34f.

 

19.(With B. Korenblum and S. Krein) On certain non-linear questions of the theory of singular integrals. Dokl. Akad. Nauk SSSR 62, no. 1,  (1948), 17-20 (in Russian) MR 10,306f

 

20.   (With B. Korenblum and S. Krein) On a problem posed by I. P. Natanson. Uspehi Mat. Nauk 3 (25), no. 3,  (1948), 183-186 (in Russian) MR 10,114a.

 

21.   A new construction of the almost periodic functions of Levitan. Dokl. Akad. Nauk     SSSR 62, no. 3, (1948), 585-588 (in Russian).

 

22.   (With M. Krein) On entire almost periodic functions of exponential type. Dokl. Akad. Nauk SSSR 64, no.3,  (1948), 285-287 (in Russian).

 

23.On the almost periodic functions of Levitan. Ukrain. Math. Zh. 1 (1949), 49-101. (in Russian)

     MR 14,370f.

 

24.   On functions of finite degree bounded on a sequence of points. Dokl. Akad. Nauk SSSR  65, no.3,  (1949), 265-268 (in Russian).

 

25.   On some extremal properties of entire functions of finite degree. Dokl. Akad. Nauk SSSR 65, no.5,  (1949), 605-608 (in Russian) MR 11,23c.

 

26.On a special class of entire functions and on related extremal properties of entire functions of finite degree. Izv.   Akad.   Nauk SSSR. Ser.   Mat.   14, no.1, (1950), 45-84  (in Russian) MR 11,510a.

 

27.   On functions determined by their values on an interval. Dokl. Akad. Nauk SSSR 70, no.5,  (1950), 757-760 (in Russian).

 

28.   On quasi-analytic classes of almost periodic functions. Dokl. Akad. Nauk SSSR 70, no.6,  (1950), 949-952 (in Russian).

 

29.On functions of finite degree which are of regular growth. Dokl. Akad. Nauk SSSR 71,  no. 4,  

      (1950), 601-604 (in Russian) MR 11,510b.

 

30.       On a generalization of the Fourier-Plancherel transform. Zapiski Kharkovskogo Matematich.  

     Obschestva (4) 20 (1950), 83-94   (in Russian) MR 14,371a.

 

31. (With V. Baltaga and G. Drinfeld) Naum Illich Akhiezer (on the occasion  of his fiftieth birthday). Uspehi Mat. Nauk 6, no. 2 (1951), 191-194 (in Russian).

 

32. Some extremal properties of entire functions of several variables. Dokl. Akad. Nauk. SSSR

      78, no.5, (1951), 861-864 (in Russian) MR 13,25c.

 

33. On a class of entire functions. Dokl. Akad. Nauk. SSSR 78, no.6, (1951), 1085-1088

      (in Russian) MR 13,25d.

 

34.       The general form of special operators on entire functions of finite degree. Dokl. Akad. Nauk. SSSR 79, no. 3,  (1951), 397-400 (in Russian) MR 13,122e.

35. (With N. Akhiezer) On interpolation for entire transcendental functions of finite degree.        

      Zapiski Kharkauskogo Matematich.    Obschestva (4) 23 (1952),  5-26  (in Russian) MR          

     17,1192d.

36. Operators preserving inequalities between entire functions.  Dokl. Akad. Nauk. SSSR 89,no. 4,  

      (1953), 605-608. (in Russian) MR 15,22c.

 

37. (With S. Brailovskii) To the question of the most advantageous regime of mining lifting.

       Sbornik statei po shahtnomu pod'emu, Ugletehizdat, Moscow, 1954.

 

38. Fourier and Laplace type transforms with the help of solutions of second order differential  

     equations. Dokl. Akad. Nauk. SSSR 106, no. 2, (1956), 187-190 (in Russian).

 

39. Distribution of roots of exponential sums. Dokl. Akad. Nauk. SSSR 108, no.1, (1956), 20-22   (in Russian) MR 18,201d.

 

40. Distribution of Zeros of Entire Functions. __Gosudarstv.   Izdat.   Tehn.-Teor.   Lit., Moscow,     1956, 632pp (in Russian)  MR 19,402c.  

               

41. Generalization of a theorem of Cartwright concerning an entire function of finite degree bounded on a sequence of points. Izv. Akad. Nauk SSSR. Ser Mat. 21, no.4,  (1957), 549-558. (in Russian) MR 20 #3280.

 

42. (With N. Akhiezer) Inequalities for derivatives analogous to Bernstein's in equality. Dokl. Akad. Nauk SSSR. 117, no.5, (1957), 735-738 (in Russain) MR 20 #971.

                              

43. Distribution of zeros of entire functions. Trudy III Vsesojuzn. S'ezda Matemat., 3,  Moscow,   

      1958, 3, M., 208-218 (in Russian).

 

44. On completely continuous selfadjoint operators. Sborn. Trudov Kharkovsk. Inst. Zheleznodor.   Transporta 35 (1959), 5-23. (in Russian)

 

45. On a uniqueness theorem in harmonic analysis. Vestnik Leningrad.  Univ. 14, no.13, (1959), 59-62. (in Russian) MR 20 #3280

 

46. (With I. Ostrovskii) The dependence of the growth of an entire function on the distribution of the zeros of its derivatives. Sibirsk. Mat. Zh. 1 (1960), 427-455 (in Russian) MR 24 #A833 English transl. in Amer. Math. Soc. Transl. (2) 32 (1963), 323-357.

 

47.(With N. Akhiezer) Generalization of S. N. Bernstein's inequality for derivatives of entire  functions. Issledovaniya po sovremennym problemam teorii funktsii korapleksnogo pere-mennogo  (ed. A. Markushevich), GIFML, Moscow, 1960, 111-165 (in Rus­sian) MR 23 #A3265 French  transl. in Fonctions d'une variable complexe. Problemes contempo-rains (ed. A.  Marcouchevitch), Gauthier-Villars, Paris, 1962, 109-161.

 

48.(With M. Kadec) Solution of the Banach problem on a topological equiva­lence of spaces of continuous functions on a square and on an interval. Trudy seminara po funkts. analizu (Voronezh) 3-4 (1960), 20-25 (in Rus­sian)

 

          49.On bases of exponential functions in L2. Zapiski Kharkovskogo Matematich. Obschestva (4)    

              27 (1961), 39-48 (in Russian).

 

50. (With M. Krein) Naum Illich Akhiezer (on the occasion of his sixtieth birthday).

     Uspehi Mat. Nauk 16, no. 4 (1961), 223-234 (in Russian) MR 24 #A1202  English transl. in Russian Math. Surveys 16 (1961).

 

51. Nullstellenverteilung ganzer Funktionen.   Akademie-Verlag, Berlin, 1962, 512pp MR 27  

      #302.

 

52. (With V.P. Gurarii) Completeness of a system of shifts in the space L(0, ∞)   with a weight. Zapiski Kharkovskogo Matematich.  Obschestva (4) 30 (1964), 178-185 (in   Russian) MR 35 #655.

 

53.    (With A. Gol'dberg) Entire functions which are bounded on the real axis. Dokl. Akad. Nauk SSSR 157 (1964), 19-21 (in Russian) MR 29 #2394.

 

54. (With I. Ovcharenko) Description of the continuation of Hermitian positive
         functions. Dokl. Akad. Nauk SSSR
159 (1964), 746-749 (in Russian) MR 30 #466.

 

55. Distribution of Zeros of Entire Functions. Amer.  Math.  Soc, Providence, RI, 1964 493 pp.  MR 28 #217.

 

56. On the convergence of H-polynomials. Mat. Sb. 66 (108) (1965), 384-397 (in Russian) MR 30 #4910.

 

          57. (With I. Hachatryan) On a generalization of a theorem of Paley-Wiener for functions of arbitrary integral order and normal type in a half-plane. Akad.  Nauk.  Armjan.  SSR Dokl.  41 (1965), 3-9  (in Russian, Armenian summary) MR. 33 #1468.

 

58.   (With I. Ovcharenko) The continuation of Hermitian positive functions de­
fined on a strip. Theor.  Funktsii, Funktsional.   Anal.   i Prilozh.   (Kharkov)
5 (1967), 68-83 (in Russian) MR 37 #1894.

 

59. (With Din Than Hoa) Interference operators on entire functions of exponen­tial type. Funktsional. Anal, i Prilozh. 3 (1969), 48-61 (in Russian). MR 39 #5796.

 

60. Entire functions of exponential type and some their applications in the theory of basis. Uspehi Mat. Nauk, 24, no. 5, (1969), 221 (in Russian).

 

61. Interpolation by entire functions of exponential type. Sbornik Nauchn.   Trudov FTINT Akad.  

     Nauk USSR (Kharkov) 1 (1969), 136-146 (in Russian)

 

62. (With A. Gol'dberg and I. Ostrovskii) General theory of entire and mero-
morphic functions. Istoriya otechestv. matemat.,
4, part 1, Kiev, 1970, 9-48 (in   Russian).

 

63. (With I. Ostrovskii) Special questions of theory of entire functions. Istoriya otechestv. matemat., 4, part 1,  Kiev, 1970, 48-112.   (in Russian)

 

64. Subharmonic majorants and their applications. Tezisy Vsesojuzn. konferents. po TFKP, Kharkov, 1971, 117-120 (in Russian).

 

65. (With A. Gordon) The division of quasipolynomials. Funktsional. Anal, i Prilozh. 5, no.1, (1971), 22-29 (in Russian). MR 43 #6409.

 

66. Entire Functions. Lecture notes. Moscow State Unviersity, Moscow, 1971, 124 pp. (in Russian).

 

67. (With Ju. Berezanskii, A. Kolmogorov, et al) Naum Illich Akhiezer (on the  occasion of his

       seventieth birthday). Uspehi Mat. Nauk 26, no. 6 (1971), 257-261. (in Russian) MR 52  

      #5290.

 

68. (With N. Akhiezer, I. Vorovich, et al) Mikhail Grigor'evich Haplanov (on  the occasion of his

       seventieth birthday). Uspehi Mat. Nauk 28, no. 3 (1973), 199-204 (in Russian) MR 52  

       #5280.

 

69. (With Yu. Lyubarskii) Interpolation by entire functions of exponential type. Funktsional. Anal, i Prilozh. 8, no. 2, (1974), 85-86. (in Russian). MR 50 #4961.

 

         70. (With Ju. Berezanskii, I.Gelfand, et al)  Aleksandr Yakovlevich Povzner (on the occasion of his sixtieth birthday). Uspehi Mat. Nauk 30, no. 5 (1975), 221-226 (in Russian) MR52#7790.

 

71. (With Nguen Thyong Uen) The interpolation problem in the half-plane in a class of analytic functions of finite order. Teor.  Funktsii, Funktsional.  Anal,  i Prilozh.   (Kharkov) 22, no. 22, (1975), 77-85 (in Russian) MR 53 #3320

 

72. (With Yu. Lyubarskii) Interpolation by entire functions belonging to special
classes and related expansions in series of exponentials. Izv. Akad. Nauk SSSR. Ser. Mat.
39, no. 3, (1975), 657-702 (in Russian).

 

73. On certain applications of special conformal mappings. Voprosy Matematiki.   Shorn.   Nauchn.    Trudov Tashkent.    Univers.   510 (1976), 140-147  (in Russian).

 

74. (With N. Kulesko) The completeness of the Floquet solutions for second order differential equations with deviating argument. Sibirsk. Mat. Zh. 18, no. 2,  (1977), 321-326 (in Russian) MR 56 #12501.

 

75. Additions and corrections to the book “Distribution of Zeros of Entire Functions”. Preprint,

      Kharkov, 1978, 60 pp.

 

76. Almost-periodic functions with bounded spectrum, Aktual’nie voprosi matem. Analiza, Rostov, 1978, 112-124.

 

77. Translates of functions of two variables. 99 nereshennyh zadach linein. i kompl. analiza. Zapiski Nauchn. Seminar.LOMI, 81 (1978), 162 (in Russian).

 

78. (With I. Ostrovskii) Zero sets of sine-type functions. 99 nereshennyh zadach linein. i kompl. analiza. Zapiski Nauchn. Seminar.LOMI, 81 (1978), 268-270 (in Russian).

 

79. Entire functions of Laguerre-Polya class. 99 nereshennyh zadach linein. i kompl. analiza. Zapiski Nauchn. Seminar.LOMI, 81 (1978), 274-275 (in Russian).

 

80. (With I. Vorovich, N. Efimov, et al) Mikhail Grigor'evich Haplanov. Obit­uary. Uspehi Mat.

       Nauk 33, no. 4 (1978), 203-204 (in Russian) MR 82d:01032.

 

81. (With I. Ostrovskii) Small perturbations of the set of roots of sine-type functions.

Izv.   Akad.  Nauk.  SSSR. Ser.  Mat.  43, no.1,  (1979), 87-110 (in Russian) MR

82b:30022.

 

82. Distribution of Zeros of Entire Functions. English revised edition Amer. Math. Soc,

     Providence, RI, 1980, 523pp.MR 81k:30011.

 

83. (With A. Kolmogorov, M. Krein, et al) Naum Illich Akhiezer. Obituary. Uspehi Mat. Nauk 36, no. 4 (1981), 183-184 (in Russian) MR 83g:01070.

 

84. (With Ju. Berezanskii, N. Bogolyubov, et al) Vladimir Aleksandrovich Marchenko (on  the occasion of his sixtieth birthday). Uspehi Mat. Nauk 37, no.6, (1982), 255-260 (in Russian).

 

85. An extremal problem from the theory of subharmonic functions. Lecture Notes in Math. 1043 (1984), 609-610.

 

86. Extremal problems in classes of subharmonic functions and their applica­tions. Constructive theory of functions'84- Proceedings of the International Con­ference. Bulgarian Acad, of Sci., Sofia, 1984, 534-543.

 

87. (With I.Gelfand, V.Marchenko et al) Mikhail Iosifovich Kadets (on  the occasion of his sixtieth birthday). Uspehi Mat. Nauk 39, no. 5 (1984), 249- 250 (in Russian).

 

88. Subharmonic majorants and some applications. I, Preprint FTINT AN USSR, Kharkov,

      18-84, (1984), 52 pp.

 

89. Subharmonic majorants and some applications. II, Preprint FTINT AN USSR, Kharkov,

      19-84, (1984), 23 pp.

 

90.  (With M. Krein and A. Nudelman) On a special representation of polyno­mials that are positive on a system of closed intervals. Preprint FTINT AN USSR, Kharkov, 28-84, (1984), 48 pp.

 

91. (With A. Ronkin) Asymptotic series and algebroid functions. Dokl. Akad. Nauk SSSR 280 , N.2, (1985), 288-291 (in Russian) MR 86g:30006.

 

92.    (With M. Gasymov, M. Krein, et al) Boris Moiseevich Levitan (on the occasion of his seventieth birthday). Uspehi Mat. Nauk 40, no. 2 (1985), 209-210 (in Russian) MR 86f:01039.

 

93. (With A. Ronkin) Asymptotic series of exponentials and solutions of certain algebraic equations. Issledovaniya po kompleksn. analizu (ed. A. Vitushkin), Ufa, 1987, 71-120 (in Russian).

 

94. (With Yu. Berezanskii, N. Bogolyubov, et al) Selim Grigor'evich Krein (on the occasion of his seventieth birthday). Uspehi Mat. Nauk 42, N.5 (1987), 223-224 (in Russian) MR 89b:01038.

 

95. (With A. Kheifits) Asymptotic behavior of subfunctions of the Schrodinger operator in an n-dimensional cone. Dokl. Akad. Nauk SSSR 301 (1988), 540-543 (in Russian) MR 91h:35099.

 

96. Subharmonic majorants and some applications. Complex Analysis (Eds. J. Hersch and A. Huber), Birkhauser, Basel, 1988, 181-190. MR 90a:31001.

 

97. (With V. Logvinenko) Classes of functions that are subharmonic in Rm and bounded on certain sets. Zap.   Nauchn.   Sem.   LOMI 170 (1989), 157-175  (in Russian, English summary) MR 91e:31017.

 

98. Majorants in' classes of subharmonic functions. I—III.  Teor. Funkts., Funktsion. Analiz i  

     Prilozh. (Kharkov), 51 (1989), 3-17. (in Russian) MR 901:31004; 52 (1989), 3-21. MR

     90m:31002; 52 (1989), 21-33. (in Russian) MR 90m:31003.

 

99. (With I. Hachatryan) On the closure of systems of functions of Mittag-Lefner type under weighted uniform approximation in the complex plane. Izv.   Akad.   Nauk.   Army an.    SSR. Ser.   Mat   24, no.4, (1989), 355-363 (in Russian, Armenian and English summaries) MR 9lh:30005

 

100.  Completeness of systems of functions, quasianalyticity and subharmonic ma-jorants.

Zap. Nauchn. Sem. LOMI 170 (1989), 102-156 (in Russian, English sum­mary) MR 91g:46045.

 

101. (With M. Krein and A. Nudelman) On a special representation of polyno­mials that are positive on a system of closed intervals. Amer. Math. Soc.  Transl.  (2) 142 (1989), 33-46. MR 901:26016.

 

102. (With Yu. Berezanskii, "V. Marchenko, et al) Mark Grigor'evich Krein. Obit­
uary. Ukrain. Mat. Zh.
42 (1990), 576 (in Russian) MR 91h:01040.

 

103. (With M. Krein and A. Nudelman) On a special representation of polynomi­als that are positive on a system of closed intervals, and some applications. Functional analysis, optimization, and mathematical economics (ed. L. Leif-man), Oxford Univ. Press, New York, 1990, 56-114. MR 92b:4l0l2.

 

104. (With L. Aizenberg, A. Gol'dberg et al) Lev Issakovich Ronkin (on the occasion of his sixtieth birthday). Uspehi Mat. Nauk 46, no. 5 (1991),-181-183. (in Russian) MR 93e:01016.

 

105.  (With V. Logvinenko and M. Sodin) Subharmonic functions of finite degree bounded on subsets of the "real hyperplane". Entire and subharmonic functions (ed.   B. Levin), Adv.  Soviet Math.   11, Amer. Math. Soc, Providence, RI, 1992, 181-197. MR 94c:31004.

 

106. Reminiscences of Mark Grigor'evich Krein. Ukrain. Mat. Zh. 46, no. 3 (1994), 305-309 (in Russian).

 

107. (With L. Mirochnik) Estimates for the solutions of the Sturm-Liouville equa­tion.               

        Ukram. Mat. Zh. 46 (1994), 244-278 (in Russian) MR 95k:34040.

 

108. (With V. Logvinenko) Krein's theorem for separately subharmonic func­tions.

       Algebra & Analiz 6, no. 4 (1994), 143-156. (in Russian) MR 95m:31009.

 

109. B.Ya.Levin. Lectures on entire functions. English revised edition.  Amer. Math. Soc, Providence, RI, 1996.