Milutin Dostanić bibliography

Milutin Dostanić

The following is the bibliography of Serbian mathematician Milutin Dostanić.

Bibliography

Dissertations

Year Thesis Title Institution
1982 Master "Neke analogije između Hardijevih prostora u disku i poluravni" University of Belgrade Faculty of Science and Mathematics
1984 Doctor "Potpunost, minimalnost i bazisnost svojstvenih funkcija pramenova diferencijalnih operatora"[1] University of Belgrade Faculty of Science and Mathematics

Papers

# Year Author(s) Title Journal
1 1984 М. Достанич "О полноте и минимальности некоторых систем функций" Mat. Vesnik, volume 36, number 2, pages 125–136
2 1984 М. Достанич "Одно достаточное условие для того чтобы система {e−αλnxsinλnx}∞n=1 не была базисом в пространстве L2(0,π)" Mat. Vesnik, volume 36, number 3, pages 192–194
3 1989 Milutin Dostanić "Properties of the system of eigenfunctions for a boundary value problem for a functional differential equation with a discontinuous coefficient"[2] Radovi Matematički, volume 5, number 1, pages 41–51
4 1989 M. R. Dostanić "Generalizations of Mercer's theorem for a class of nonselfadjoint operators"[3] Matematički Vesnik, volume 41, number 2, pages 77–82
5 1990 M. R. Dostanić "On the completeness of the system of function {e−αλnxsinλnx}∞n=1"[4] Journal of Mathematical Analysis and Applications, volume 150, number 2, pages 519–527
6 1991 Milutin R. Dostanić "The generalization of the Keldysh theorem"[5] Journal of Mathematical Analysis and Applications, volume 162, number 1, pages 7–12
7 1991 Milutin Dostanić "The regularized trace for nuclear perturbations of discrete operators"[6] Publications de l'Institut Mathématique (Beograd), nouvelle série, volume 50(64), pages 141–151
8 1992 M. Dostanić, D. Milinković "Coherent states and frames in the Bargman space of entire functions"[7] Publications de l'Institut Mathématique (Beograd), nouvelle série, volume 51(65), pages 48–54
9 1993 Milutin R. Dostanić "Asymptotic behavior of the singular values of fractional integral operators"[8] Journal of Mathematical Analysis and Applications, volume 175, number 2, pages 380–391
10 1993 Milutin R. Dostanić, Milan M. Milosavljević "On irregular sampling theorems for functions bandlimited in a generalized sense"[9] Univerzitet u Beogradu, Publikacije Elektrotehničkog fakulteta - Serija Matematika (now Applicable Analysis and Discrete Mathematics), volume 4, pages 109–113
11 1993 Milutin Dostanić "Generalization of the Mercer theorem"[10] Publications de l'Institut Mathématique (Beograd), nouvelle série, volume 54(68), pages 63–70
12 1993 Milutin Dostanić "Trace formula for nonnuclear perturbations of selfadjoint operators"[11] Publications de l'Institut Mathématique (Beograd), nouvelle série, volume 54(68), pages 71–79
13 1993 M. Dostanić "On the expansion theorem for a certain boundary value problem for a functional-differential equation"[12] Matematički Vesnik, volume 45, numbers 1-4, pages 11–17
14 1993 M. Dostanić "Generalized eigenvector expansion for weakly perturbated discrete operators"[13] Matematički Vesnik, volume 45, numbers 1-4, pages 61–64
15 1994 Milutin Dostanić "Trace formulas of Gelʹfand-Levitan type"[14] Publications de l'Institut Mathématique (Beograd), nouvelle série, volume 55(69), pages 51–63
16 1995 Milutin R. Dostonic "An estimation of singular values of convolution operators"[15] Proceedings of the American Mathematical Society, volume 123, number 5, pages 1399–1409
17 1995 Milutin Dostanić "On a theorem of Ky-Fan type"[16] Matematički Vesnik, volume 47, numbers 1-2, pages 7–10
18 1996 Milutin Dostanić "Some estimations of positive and negative eigenvalues for an inhomogeneous membrane"[17] Matematički Vesnik, volume 48, numbers 1-2, pages 11–14
19 1996 M. R. Dostanić "On the completeness of the system of functions {eα(n+a)xsin(n+a)x}∞n=0"[18] Journal of Mathematical Analysis and Applications, volume 203, number 3, pages 672–676
20 1996 Milutin Dostanić "Exact asymptotic behavior of the singular values of integral operators with the kernel having singularity on the diagonal"[19] Publications de l'Institut Mathématique (Beograd), nouvelle série, volume 60(74), pages 45–64
21 1996 Milutin R. Dostanić "The properties of the Cauchy transform on a bounded domain"[20] Journal of Operator Theory, volume 36, number 2, pages 233–247
22 1996 Milutin Dostanić "Asymptotic behavior of eigenvalues of certain integral operators"[21] Publications de l'Institut Mathématique (Beograd), nouvelle série, volume 59(73), pages 95–113
23 1996 Milutin Dostanić "A basis property of families of the Mittag-Leffler functions"[22] Matematički Vesnik, volume 48, numbers 3-4, pages 77–82
24 1996 Milutin Dostanić "Some inequalities for entire functions of exponential type"[23] Matematički Vesnik, volume 48, numbers 3-4, pages 95–98
25 1997 Milutin R. Dostanić "On an inequality of Friedrich's type"[24] Proceedings of the American Mathematical Society, volume 125, number 7, pages 2115–2118
26 1997 Milan M. Milosavljević, Milutin R. Dostanić "On generalized stable nonuniform sampling expansions involving derivatives"[25] IEEE Transactions on Information Theory, volume 43, number 5, pages 1714–1716
27 1997 Milutin R. Dostanić, Darko Z. Milinković "Asymptotic behavior of singular values of certain integral operators"[26] Publications de l'Institut Mathématique (Beograd), nouvelle série, volume 62(76), pages 83–98
28 1997 Milutin Dostanić "Some estimates of the remainder in the expressions for the eigenvalue asymptotics of some singular integral operators"[27] Matematički Vesnik, volume 49, number 2, pages 129–137
29 1998 Milutin R. Dostanić "Spectral properties of the operator of Riesz potential type"[28] Proceedings of the American Mathematical Society, volume 126, number 8, pages 2291–2297
30 1998 Milutin R. Dostanić "Spectral properties of the Cauchy operator and its product with Bergman's projection on a bounded domain"[29] Proceedings of the London Mathematical Society, volume 76, number 3, pages 667–684
31 1998 Miroslav Pavlović, Milutin R. Dostanić "On the inclusion H2(Un)⊂H2n(Bn) and the isoperimetric inequality"[30] Journal of Mathematical Analysis and Applications, volume 226, number 1, pages 143–149
32 1998 Milutin Dostanić "Spectral properties of the Cauchy operator and the operator of logarithmic potential type on L2 space with radial weight"[31] Matematički Vesnik, volume 50, numbers 3-4, pages 135–139
33 1999 Milutin Dostanić "Exact asymptotic behavior of singular values of a class of integral operators"[32] Czechoslovak Mathematical Journal, volume 49, number 4, pages 707–732
34 1999 Milutin R. Dostanić "Relationship between the operators of Cauchy and logarithmic potential type"[33] Matematički Vesnik, volume 51, numbers 3-4, pages 91–96
35 2000 Milutin R. Dostanić "Fourier expansions with respect to the Rayleigh system"[34] Journal of Approximation Theory, volume 104, number 1, pages 1–20
36 2000 Milutin R. Dostanić "Spectral properties of the Cauchy transform in L2(C,dμ)"[35] Quarterly Journal of Mathematics, volume 51, number 3, pages 307–312
37 2000 М. Р. Достанич "Спектральные свойства оператора типа потенциала Рисса и его произведения на проекцию Бергмана в ограниченной области"[36] Математический сборник, volume 191, number 9, pages 23–42
38 2001 Milutin R. Dostanić "Estimates for the norm of powers of Volterra's operator through its singular values"[37] Mathematische Zeitschrift, volume 236, number 3, pages 453–459
39 2001 Milutin Dostanić "Bilinear expansions of the kernels of some nonselfadjoint integral operators"[38] Matematički Vesnik, volume 53, numbers 3-4, pages 117–121
40 2002 Milutin R. Dostanić "On the distribution singular values of Toeplitz matrices"[39] Proceedings of the American Mathematical Society, volume 130, number 6, pages 1755–1764
41 2002 Milutin Dostanić "Some new results in theory of operators"[40] Bulletin of Society of Mathematicians Banja Luka, volume 9, numbers 1-2, pages 7–10
42 2004 Milutin R. Dostanić "Marcinkiewicz's theorem on operator multipliers of Fourier series"[41] Proceedings of the American Mathematical Society, volume 132, number 2, pages 391–396
43 2004 Milutin R. Dostanić "Spectral properties of the commutator of Bergman's projection and the operator of multiplication by an analytic function"[42] Canadian Journal of Mathematics, volume 56, number 2, pages 277–292
44 2004 M. R. Dostanić "Spectral estimates for the commutator of two-dimensional Hilbert transformation and the operator of multiplication with a C1 function"[43] Rocky Mountain Journal of Mathematics, volume 34, number 1, pages 125–137
45 2004 Milutin R. Dostanić "Unboundedness of the Bergman projections on Lp spaces with exponential weights"[44] Proceedings of the Edinburgh Mathematical Society, volume 47, number 1, pages 111–117
46 2005 Milutin R. Dostanić "Inequality of Poincaré-Friedrich's type on Lp spaces"[45] Matematički Vesnik, volume 57, numbers 1-2, pages 11–14
47 2005 Milutin R. Dostanić "Norm estimate of the Cauchy transform on Lp(Ω)"[46] Integral Equations and Operator Theory, volume 52, number 4, pages 465–475
48 2005 М. Р. Достанич "Норма и регуляризированный след преобразования Коши"[47] Математические заметки, volume 77, number 6, pages 844–853
49 2007 Milutin R. Dostanić "Estimate of the second term in the spectral asymptotic of Cauchy transform"[48] Journal of Functional Analysis, volume 249, number 1, pages 55–74
50 2007 Milutin R. Dostanić "Integration operators on Bergman spaces with exponential weight"[49] Revista Matemática Iberoamericana, volume 23, number 2, pages 421–436
51 2008 Milutin Dostanić, Kehe Zhu "Integral operators induced by the Fock kernel"[50] Integral Equations and Operator Theory, volume 60, number 2, pages 217–236
52 2008 Milutin Dostanić, Miroljub Jevtić, Dragan Vukotić "Norm of the Hilbert matrix on Bergman and Hardy spaces and a theorem of Nehari type"[51] Journal of Functional Analysis, volume 254, number 11, pages 2800–2815
53 2008 Milutin Dostanić "Norm of Berezin transform on Lp space"[52] Journal d'Analyse Mathématique, volume 104, number 1, pages 13–23
54 2008 Milutin R. Dostanić "Two sided norm estimate of the Bergman projection on Lp spaces"[53] Czechoslovak Mathematical Journal, volume 58(133), number 2, pages 569–575
55 2009 Milutin Dostanić "Boundedness of the Bergman projections on Lp spaces with radial weights"[54] Publications de l'Institut Mathématique (Beograd), nouvelle série, volume 86(100), pages 5–20
56 2009 Milutin R. Dostanić "Multipliers in the space of analytic functions with exponential mean growth"[55] Asymptotic Analysis, volume 65, numbers 3-4, pages 191–201
57 2010 Milutin R. Dostanić "Zygmund's inequality for entire functions of exponential type"[56] Journal of Approximation Theory, volume 162, number 1, pages 42–53
58 2010 Milutin R. Dostanić "Cauchy operator on Bergman space of harmonic functions on unit disc"[57] Matematički Vesnik, volume 62, number 1, pages 63–67
59 2010 Milutin R. Dostanić "The Kerzman-Stein operator for the ellipse"[58] Publications de l'Institut Mathématique (Beograd), nouvelle série, volume 87(101), pages 1–7
60 2010 Milutin R. Dostanić "Integral operators induced by Bergman type kernels in the half plane"[59] Asymptotic Analysis, volume 67, numbers 3-4, pages 217–228
61 2010 М. Р. Достанич "Асимптотика спектра и регуляризованный след одного сингулярного интегрального оператора"[60] Математический сборник, volume 201, numbers 7-8, pages 1121–1134
62 2011 M. R. Dostanić "Asymptotic behavior of the singular values of a generalization of the operator fractional integration"[61] Journal of Mathematical Analysis and Applications, volume 375, number 2, pages 677–684
63 2011 Milutin R. Dostanić "Regularized trace of the inverse of the Dirichlet Laplacian"[62] Communications on Pure and Applied Mathematics, volume 64, number 8, pages 1148–1164
64 2012 Milutin R. Dostanić "On the best constants in some inequalities for entire functions of exponential type"[63] Matematički Vesnik, volume 64, number 1, pages 53–59
65 2012 Milutin R. Dostanić "The asymptotic behavior of the singular values of the convolution operators with kernels whose Fourier transforms are rational functions"[64] Journal of Mathematical Analysis and Applications, volume 395, number 2, pages 496–500
66 2012 M. R. Dostanić "Regularized trace of the Cauchy transform"[65] Integral Equations and Operator Theory, volume 74, number 1, pages 43–49
67 2013 Milutin R. Dostanić "Levin-Golovin theorem for the system of functions associated to Dunkl transform"[66] Journal of Approximation Theory, volume 167, number 2, pages 211–219
68 2013 M. R. Dostanić "An asymptotic formula concerning the eigenvalues of the Dirichlet Laplacian in a planar domain"[67] Potential Analysis, volume 39, number 2, pages 195–202
69 2013 Milutin R. Dostanić "Spectral properties of the simple layer potential type operators"[68] Rocky Mountain Journal of Mathematics, volume 43, number 3, pages 855–875
70 2014 Milutin R. Dostanić "Spectral properties of the operator of Bessel potential type"[69] Journal of Mathematical Analysis and Applications, volume 419, number 1, pages 255–272
71 2015 Milutin R. Dostanić "Regularized trace of the operator of Riesz potential type on bounded domain in C"[70] Advances in Mathematics, volume 272, pages 330–349

Notes

Books

Year(s) Author(s) Title Publisher
1998, 2012 Miloš Arsenović, Milutin Dostanić, Danko Jocić "Teorija mere, Funkcionalna analiza, Teorija operatora"[75] Zavod za udžbenike
2008 One of many authors, Milutin Dostanić - M. Dos. "Enciklopedija srpskog naroda"[76] Zavod za udžbenike

References

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  4. "On the completeness of the system of function {e−αλnx sin λnx}n = 1∞". Retrieved 23 July 2014.
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  30. "On the InclusionH2(Un) ⊂ H2n(Bn) and the Isoperimetric Inequality". Journal of Mathematical Analysis and Applications. 226: 143–149. doi:10.1006/jmaa.1998.6061. Retrieved 27 July 2014.
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  37. "Estimates for the norm of powers of Volterra's operator through its singular values". Mathematische Zeitschrift. 236: 453–459. doi:10.1007/PL00004837. Retrieved 28 July 2014.
  38. "Bilinear expansions of the kernels of some nonselfadjoint integral operators". www.emis.de. Retrieved 28 July 2014.
  39. "On the Distribution Singular Values of Toeplitz Matrices". doi:10.2307/2699770. Retrieved 28 July 2014.
  40. "Some new results in theory of operators". Bulletin of Society of Mathematicians Banja Luka. ISSN 1986-521X. Retrieved 28 July 2014.
  41. "Marcinkiewicz's Theorem on Operator Multipliers of Fourier Series". doi:10.2307/1194067. Retrieved 28 July 2014.
  42. "Spectral Properties of the Commutator of Bergman's Projection and the Operator of Multiplication by an Analytic Function". Canadian Journal of Mathematics. 56: 277–292. doi:10.4153/CJM-2004-013-8. Retrieved 28 July 2014.
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  46. "Norm Estimate of the Cauchy Transform on L P (Ω)". Integral Equations and Operator Theory. 52: 465–475. doi:10.1007/s00020-002-1290-9. Retrieved 29 July 2014.
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  50. "Integral Operators Induced by the Fock Kernel". Integral Equations and Operator Theory. 60: 217–236. doi:10.1007/s00020-008-1558-9. Retrieved 29 July 2014.
  51. "Norm of the Hilbert matrix on Bergman and Hardy spaces and a theorem of Nehari type". Journal of Functional Analysis. 254: 2800–2815. doi:10.1016/j.jfa.2008.02.009. Retrieved 29 July 2014.
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  53. "Two sided norm estimate of the Bergman projection on L p spaces". Czechoslovak Mathematical Journal. 58: 569–575. doi:10.1007/s10587-008-0036-5. Retrieved 29 July 2014.
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