Jasson Vindas :: Publications

Publications and Preprints

This is my complete list of publications and preprints. Links to articles and some preprints can be found below. If no link is provided, you may request a preprint from me

Book

S.Pilipovic, B.Stankovic, J.Vindas, Asymptotic behavior of generalized functions. Series on Analysis, Applications and Computations, 5., World Scientific Publishing Co., Hackensack, NJ, 2012 (order from publisher)

Books edited

U.Kähler, M.Reissig, I.Sabadini, J.Vindas (Eds.), Analysis, Applications, and Computations (Proceedings of the 13th ISAAC Congress, Ghent, Belgium, 2021), Trends in Mathematics, Research Perspectives, Birkhäuser, 2023. (order from publisher)

M.Oberguggenberger, J.Toft, J.Vindas, P.Wahlberg (Eds.), Generalized Functions and Fourier Analysis, Oper. Theory Adv. Appl., Vol. 260, Springer, 2017. (order from publisher)

Preprints

[106] L.Neyt, J.Toft, J. Vindas, Hermite expansions for spaces of functions with nearly optimal time-frequency decay, in preparation. [Preprint]

[105] J.Ding, J.Vindas, Y.Yang, Distributions in spaces with thick submanifolds, in preparation. [Preprint]

[104] A.Debrouwere, M.Huttener, J.Vindas, Quasinormability and property (Ω) for spaces of smooth and ultradifferentiable vectors associated with Lie group representations, submitted. [Preprint]

[103] B.Chen, J.Vindas, Generalizations of Koga's version of the Wiener-Ikehara theorem, submitted. [Preprint]

[102] F.Broucke, J.Vindas, A new generalized prime random approximation procedure and some of its applications, submitted. [Preprint]

Published/Accepted Articles

[101] B.Chen, G.Debruyne, J.Vindas, On the density hypothesis for L-functions associated with holomorphic cusp forms, Rev. Mat. Iberoam., accepted. [Article|Preprint]

[100] F.Broucke, G.Debruyne, J.Vindas, The optimal Malliavin-type remainder for Beurling generalized integers, J. Inst. Math. Jussieu 23 (2024), 249-278. [Article|Preprint]

[99] A.Debrouwere, J.Vindas, Quasianalytic functionals and ultradistributions as boundary values of harmonic functions, Publ. Res. Inst. Math. Sci. 59 (2023), 657-686. [Article|Preprint]

[98] F.Broucke, J.Vindas, The pointwise behavior of Riemann's function, J. Fractal Geom. 10 (2023), 333-349. [Article|Preprint]

[97] L.Neyt, J.Vindas, Kernel theorems for Beurling-Björck type spaces, Bull. Sci. Math 187 (2023), Article 103309 (20 pages) [Article|Preprint]

[96] S.Pilipovic, D.Scarpalezos, J.Vindas, Besov regularity in non-linear generalized functions, Monatsh. Math. 201 (2023), 483-498. [Article| Preprint]

[95] A.Debrouwere, L.Neyt, J.Vindas, Explicit commutative sequence space representations of function and distribution spaces on the real half-line, Arch. Math. 118 (2022), 383-391. [Article|Preprint]

[94] A.Debrouwere, B.Prangoski, J.Vindas, On the projective description of spaces of ultradifferentiable functions of Roumieu type, in: Current trends in Analysis, its Applications and Computation. Proceedings of the 12th ISAAC congress (Aveiro, 2019), pp. 363-372. Trends in Mathematics. Birkhäuser, Cham, 2022. [Article|Preprint]

[93] R.Carmichael, S.Pilipovic, J.Vindas, Note on vector valued Hardy spaces related to analytic functions having distributional boundary values, in: Current trends in Analysis, its Applications and Computation. Proceedings of the 12th ISAAC congress (Aveiro, 2019), pp. 357-362. Trends in Mathematics. Birkhäuser, Cham, 2022. [Article|Preprint]

[92] S.Pilipovic, B.Prangoski, J.Vindas, Infinite order ΨDOs: Composition with entire functions, new Shubin-Sobolev spaces, and index theorem, Anal. Math. Phys. 11 (2021), Article 109 (48 pages). [Article|Preprint]

[91] R.Estrada, J.Vindas, Y.Yang, The Fourier transform of thick distributions, Anal. Appl. (Singap.) 19 (2021), 621-646. [Article|Preprint]

[90] A.Debrouwere, B.Prangoski, J.Vindas, Factorization in Denjoy-Carleman classes associated to representations of (R^d,+), J. Funct. Anal. 280 (2021), Article 108831 (31 pages). [Article|Preprint]

[89] A.Debrouwere, J.Vindas, Topological properties of convolutor spaces via the short time Fourier transform, Trans. Amer. Math. Soc. 374 (2021), 829-861. [Article|Preprint]

[88] F.Broucke, G.Debruyne, J.Vindas, On the absence of remainders in the Wiener-Ikehara and Ingham-Karamata theorems: a constructive approach, Proc. Amer. Math. Soc. 149 (2021), 1053-1060. [Article|Preprint]

[87] A.Debrouwere, L.Neyt, J.Vindas, The nuclearity of Gelfand-Shilov spaces and kernel theorems, Collect. Math. 72 (2021), 203-227. [Article|Preprint]

[86] F.Broucke, G.Debruyne, J.Vindas, An asymptotic analysis of the Fourier-Laplace transforms of certain oscillatory functions, J. Math. Anal. Appl. 494 (2021), Article Number 124450 (15 pages). [Article|Preprint]

[85] R.Carmichael, S.Pilipovic, J.Vindas, Boundary values, integral transforms, and growth of vector valued Hardy functions, Bull. Cl. Sci. Math. Nat. Sci. Math. 46 (2021), 115-129. [Article]

[84] F.Broucke, G.Debruyne, J.Vindas, Beurling integers with RH and large oscillation, Adv. Math. 370 (2020), Article Number 107240 (38 pages). [Article|Preprint]

[83] A.Debrouwere, L.Neyt, J.Vindas, Characterization of nuclearity for Beurling-Björck spaces, Proc. Amer. Math. Soc. 12 (2020), 5171-5180. [Article|Preprint]

[82] S.Pilipovic, D.Rakic, N.Teofanov, J.Vindas, Multiresolution expansions and wavelets in Gelfand-Shilov spaces, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A. Math. RACSAM 114 (2020), Article Number 66 (15 pages). [Article|Preprint]

[81] A.Debrouwere, L.Neyt, J.Vindas, On the space of ultradistributions vanishing at infinity, Banach J. Math. Anal. 14 (2020), 915-934. [Article|Preprint]

[80] L.Neyt, J.Vindas, Asymptotic boundedness and moment asymptotic expansion in ultradistibution spaces, Appl. Anal. Discrete Math. 14 (2020), 364-381. [Article|Preprint]

[79] L.Neyt, J.Vindas, A multidimensional Tauberian theorem for Laplace transforms of ultradistributions, Integral Transforms Spec. Funct. 31 (2020), 395-411. [Article|Preprint]

[78] G.Debruyne, F.Maes, J.Vindas, Halász's theorem for Beurling generalized numbers, Acta Arith. 194 (2020), 59-72. [Article|Preprint]

[77] A.Debrouwere, H.Vernaeve, J.Vindas, A non-linear theory of infrahyperfunctions, Kyoto J. Math. 59 (2019), 869-895. [Article|Preprint]

[76] G.Debruyne, J.Vindas, Complex Tauberian theorems for Laplace transforms with local pseudofunction boundary behavior, J. Anal. Math. 138 (2019), 799-833. [Article|Preprint]

[75] L.Neyt, J.Vindas, Structural theorems for quasiasymptotics of ultradistributions, Asymptot. Anal. 114 (2019), 1-18. [Article|Preprint]

[74] R.Carmichael, S.Pilipovic, J.Vindas, Vector valued Hardy spaces, Complex Var. Ellip. Equ. 64 (2019), 1634-1654. [Article|Preprint]

[73] P.Dimovski, S.Pilipovic, B.Prangoski, J.Vindas, Translation-modulation invariant Banach spaces of ultradistributions, J. Fourier Anal. App. 25 (2019), 819-841. [Article|Preprint]

[72] S.Pilipovic, J.Vindas, Tauberian class estimates for vector-valued distributions, Sb. Math. 210 (2019), 272-296. [Article|Preprint] (translated Russian version in: Mat Sb. 210 (2019), 115-142. [Article])

[71] G.Debruyne, J.Vindas, On Diamond's L^1 criterion for asymptotic density of Beurling generalized integers, Michigan Math. J. 68 (2019), 211-223. [Article|Preprint]

[70] A.Debrouwere, J.Vindas, On weighted inductive limits of spaces of ultradifferentiable functions and their duals, Math. Nachr. 292 (2019), 573-602. [Article|Preprint]

[69] A.Debrouwere, J.Vindas, A projective description of generalized Gelfand-Shilov spaces of Roumieu type, in: Analysis, Probablility, Applications, and Computation, pp. 407-417. Proceedings of the 11th ISAAC congress (Växjö, 2017). Trends in Mathematics. Birkhäuser, Cham, 2019. [Article|Preprint]

[68] G.Debruyne, J.Vindas, Optimal Tauberian constant in Ingham's theorem for Laplace transforms, Israel J. Math. 228 (2018), 557-586. [Article|Preprint]

[67] G.Debruyne, J.Vindas, Note on the absence of remainders in the Wiener-Ikehara theorem, Proc. Amer. Math. Soc. 146 (2018), 5097-5103. [Article|Preprint]

[66] S.Pilipovic, B.Prangoski, J.Vindas, On quasianalytic classes of Gelfand-Shilov type. Parametrix and convolution, J. Math. Pures Appl. 116 (2018), 174-210. [Article|Preprint]

[65] A.Debrouwere, H.Vernaeve, J.Vindas, Optimal embeddings of ultradistributions into differential algebras, Monatsh. Math. 186 (2018), 407-438. [Article|Preprint]

[64] S.Pilipovic, B.Prangoski, J.Vindas, Spectral asymptotics for infinite order pseudo-differential operators, Bull. Math. Sci. 8 (2018), 81-120. [Article|Preprint]

[63] G.Debruyne, H.G.Diamond, J.Vindas, M(x)=o(x) Estimates for Beurling numbers, J. Théor. Nombres Bordeaux 30 (2018), 469-483. [Article|Preprint]

[62] A.Debrouwere, J.Vindas, On the non-triviality of certain spaces of analytic functions. Hyperfunctions and ultrahyperfunctions of fast growth, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A. Math. RACSAM 112 (2018), 473-508. [Article|Preprint]

[61] Ð.Vuckovic, J.Vindas, Ultradistributional boundary values of harmonic functions on the sphere, J. Math. Anal. Appl. 457 (2018), 533-550. [Article|Preprint]

[60] A.Debrouwere, J.Vindas, Solution to the first Cousin problem for vector-valued quasianalytic functions, Ann. Mat. Pura Appl. 196 (2017), 1983-2003. [Article|Preprint]

[59] G.Debruyne, J.Vindas, On PNT equivalences for Beurling numbers, Monatsh. Math. 184 (2017), 401-424. [Article |Preprint]

[58] R.Estrada, J.Vindas, General Stieltjes moment problems for rapidly decreasing smooth functions, Studia Math. 238 (2017), 271-295. [Article|Preprint]

[57] F.Brackx, F.Sommen, J.Vindas, On the radial derivative of the delta distribution, Complex Anal. Oper. Theory. 11 (2017), 1035-1057. [Article|Preprint]

[56] R.Estrada, J.Vindas, A generalization of the Banach-Steinhaus theorem for finite part limits, Bull. Malays. Math. Sci. Soc. 40 (2017), 907-918. [Article|Preprint]

[55] G.Debruyne, J.Vindas, On general prime number theorems with remainder, in: Generalized Functions and Fourier Analysis, pp. 79-94. Oper. Theory Adv. Appl., Vol. 260, Springer, 2017. [Article|Preprint]

[54] Ð.Vuckovic, J.Vindas, Rotation invariant ultradistributions, in: Generalized Functions and Fourier Analysis, pp. 253-267. Oper. Theory Adv. Appl., Vol. 260, Springer, 2017. [Article|Preprint]

[53] G.Debruyne, J.Vindas, Generalization of the Wiener-Ikehara theorem, Illinois J. Math. 60 (2016), 613-624. [Article|Preprint]

[52] P.Dimovski, S.Pilipovic, B.Prangoski , J.Vindas, Convolution of ultradistributions and ultradistribution spaces associated to translation-invariant Banach spaces, Kyoto J. Math. 56 (2016), 401-440. [Article|Preprint]

[51] A.Debrouwere, J.Vindas, Discrete characterizations of wave front sets of Fourier-Lebesgue and quasianalytic type, J. Math. Anal. Appl. 438 (2016), 889-908. [Article|Preprint]

[50] G.Debruyne, J.-C.Schlage-Puchta, J.Vindas, Some examples in the theory of Beurling's generalized prime numbers, Acta Arith. 176 (2016), 101-129. [Article|Preprint]

[49] S.Pilipovic, D.Rakic, N.Teofanov, J.Vindas, The wavelet transforms in Gelfand-Shilov spaces, Collect. Math. 67 (2016), 443-460. [Article|Preprint]

[48] Ð.Vuckovic, J.Vindas, Eigenfunction expansions of ultradifferentiable functions and ultradistributions in R^n, J. Pseudo-Diff. Oper. Appl. 7 (2016), 519-531. (2016), 519-531. [Article|Preprint]

[47] S.Kostadinova, K.Saneva, J.Vindas, Gabor frames and asymptotic behavior of distributions, Appl. Anal. Discrete Math. 10 (2016), 292-307. [Article|Preprint]

[46] S.Kostadinova, S.Pilipovic, K.Saneva, J.Vindas, The short-time Fourier transform of distributions of exponential type and Tauberian theorems for S-asymptotics, FILOMAT 30 (2016), 3047-3061. [Article|Preprint]

[45] V.Dévoué, J.-A.Marti, H.Vernaeve, J.Vindas, Generalized functions on the closure of an open set. Applications to uniqueness of some characteristic Cauchy problems, Novi Sad J. Math. 46 (2016), 163-180. [Article]

[44] S.Kostadinova, J.Vindas, Multiresolution expansions of distributions: pointwise convergence and quasiasymptotic behavior, Acta Appl. Math. 138 (2015), 115-134. [Article|Preprint]

[43] T.Gramchev, S.Pilipovic, L.Rodino, J.Vindas, Weyl asymptotics for tensor products of operators and Dirichlet divisors, Ann. Mat. Pura Appl. 194 (2015), 823-841. [Article|Preprint]

[42] P.Dimovski, S.Pilipovic, J.Vindas, Boundary values of holomorphic functions in translation-invariant distribution spaces, Complex Var. Elliptic Equ. 60 (2015), 1169-1189. [Article|Preprint]

[41] P.Dimovski, S.Pilipovic, J.Vindas, New distribution spaces associated to translation-invariant Banach spaces, Monatsh. Math. 177 (2015), 495-515. [Article|Preprint]

[40] S.Maksimovic, S.Pilipovic, P.Sokoloski, J.Vindas, Wave fronts via Fourier series coefficients, Publ. Inst. Math. (Beograd) 97 (2015), 1-10. [Article|Preprint]

[38] P.Dimovski, B.Prangoski, J.Vindas, On a class of translation-invariant spaces of quasianalytic ultradistributions, Novi Sad J. Math. 45 (2015), 143-175. [Article|Preprint]

[38] D.Nemzer, J.Vindas, An elementary approach to asymptotic behavior in the Cesaro sense and applications to Stieltjes and Laplace transforms, Novi Sad J. Math. 45 (2015), 111-124. [Article|Preprint]

[37] S.Kostadinova, S.Pilipovic, K.Saneva, J.Vindas, The ridgelet transform and quasiasymptotic behavior of distributions, in: Pseudo-Differential Operators and Generalized Functions, pp. 185-197. Oper. Theory Adv. Appl., vol. 245, Birkhäuser, Heidelberg-New York-Dordrecht-London, 2015. [Article|Preprint]

[36] J. Vindas, On the relation between Lebesgue summability and some other summation methods, J. Math. Anal. Appl. 411 (2014), 75-82. [Article|Preprint].

[35] H.Vernaeve, J.Vindas, A.Weiermann, Asymptotic distribution of integers with certain prime factorizations, J. Number Theory 136 (2014), 87-99. [Article|Preprint]

[34] S.Kostadinova, S.Pilipovic, K.Saneva, J.Vindas, The ridgelet transform of distributions, Integral Transforms Spec. Funct. 25 (2014), 344-358. [Article|Preprint]

[33] S.Pilipovic, J.Vindas, Multidimensional Tauberian theorems for vector-valued distributions, Publ. Inst. Math. (Beograd) 95 (2014), 1-28. [Article|Preprint]

[32] R.Estrada, J.Vindas, On Borel summability and analytic functionals, Rocky Mountain J. Math. 43 (2013), 895-903. [Article|Preprint]

[31] R.Estrada, J.Vindas, Distributional versions of Littlewood's Tauberian theorem, Czechoslovak Math. J 63 (2013), 403-420. [Article|Preprint]

[30] J.Vindas, Chebyshev upper estimates for Beurling's generalized prime numbers, Bull. Belg. Math. Soc. Simon Stevin 20 (2013), 175-180. [Article|Preprint]

[29] S.Pilipovic, D.Scarpalezos, J.Vindas, Regularity properties of distributions through sequences of functions, Monatsh. Math. 170 (2013), 227-237. [Article|Preprint]

[28] S.Pilipovic, D.Scarpalezos, J.Vindas, Local regularity in non-linear generalized functions, Sao Paulo J. Math. Sci. 7 (2013), 173-191. [Article|Preprint]

[27] S.Pilipovic, D.Scarpalezos, J.Vindas, Classes of generalized functions with finite type regularities, in: Pseudo-Differential Operators, Generalized Functions and Asymptotics, pp. 307-322. Oper. Theory Adv. Appl., vol. 231, Birkhäuser Verlag, Basel, 2013. [Article|Preprint]

[26] J.-C.Schlage-Puchta, J.Vindas, The prime number theorem for Beurling's generalized numbers. New cases, Acta Arith. 153 (2012), 299-324. [Article|Preprint]

[25] R.Estrada, J.Vindas, A general integral, Dissertationes Math. 483 (2012), 49 pp. [Article|Preprint]

[24] R.Estrada, J.Vindas, Exterior Euler summability, J. Math. Anal. Appl. 388 (2012), 48-60. [Article|Preprint]

[23] J.Vindas, Chebyshev estimates for Beurling generalized prime numbers. I, J. Number Theory 132 (2012), 2371-2376. [Article|Preprint]

[22] H.Vernaeve, J.Vindas, Characterization of distributions having a value at a point in the sense of Robinson, J. Math. Anal. Appl. 396 (2012), 371-374. [Article|Preprint]

[21] S.Pilipovic, D.Rakic, J.Vindas, New classes of weighted Hölder-Zygmund spaces and the wavelet transform, J. Funct. Spaces Appl., vol. 2012, Article ID 815475, 18 pages, 2012. [Article|Preprint]

[20] R.Estrada, J.Vindas, On Tauber's second Tauberian theorem, Tohoku Math. J. 64 (2012), 539-560. [Article|Preprint]

[19] R.Estrada, J.Vindas, On distributional point values and boundary values of analytic functions, Rend. Sem. Mat. Univ. Politec. Torino 70 (2012), 121-126. [Article|Preprint]

[18] J.Vindas, S.Pilipovic, D.Rakic, Tauberian theorems for the wavelet transform, J. Fourier Anal. Appl. 17 (2011), 65-95. [Article|Preprint]

[17] J.Vindas, Regularizations at the origin of distributions having prescribed asymptotic properties, Integral Transforms Spec. Funct. 22 (2011), 375-382. [Article|Preprint]

[16] K.Saneva, J.Vindas, Wavelet expansions and asymptotic behavior of distributions, J. Math. Anal. Appl. 370 (2010), 543-554. [Article|Preprint]

[15] R.Estrada, J.Vindas, On the point behavior of Fourier series and conjugate series, Z. Anal. Anwend. 29 (2010), 487-504. [Article|Preprint]

[14] R.Estrada, J.Vindas, On Romanovski's lemma, Real Anal. Exchange 35 (2009/2010), 431-444. [Article|Preprint]

[13] J.Vindas, R.Estrada, On the support of tempered distributions,
Proc. Edinb. Math. Soc. (2) 53 (2010), 255-270. [Article|Preprint]

[12] J. Vindas, The structure of quasiasymptotics of Schwartz distributions, Banach Center Publ. 88 (2010), 297-314. [Article|Preprint]

[11] J.Vindas, R.Estrada, On the order of summability of the Fourier inversion formula, Anal. Theory Appl. 26 (2010), 13-42. [Article|Preprint]

[10] J.Vindas, R.Estrada, A quick distributional way to the prime number theorem, Indag. Math. (N.S.) 20(1) (2009), 159-165. [Article|Preprint]

[9] J.Vindas, S.Pilipovic, Structural theorems for quasiasymptotics of distributions at the origin, Math. Nachr. 282 (11) (2009), 1584-1599. [Article|Preprint]

[8] R.Estrada, J.Vindas, Determination of jumps of distributions by differentiated means, Acta Math. Hungar. 124(3) (2009), 215-241. [Article|Preprint]

[7] J.Vindas, R.Estrada, Measures and the distributional phi-transform, Integral Transforms Spec. Funct. 20 (2009), 325-332. [Article|Preprint]

[6] J.Vindas, R.Estrada, On the jump behavior of distributions and logarithmic averages, J. Math. Anal. Appl. 347 (2008), 597-606. [Article|Preprint]

[5] J.Vindas, R.Estrada, A Tauberian theorem for distributional point values, Arch. Math. (Basel) 91 (2008), 247-253. [Article]

[4] J.Vindas, Structural theorems for quasiasymptotics of distributions at infinity, Publ. Inst. Math. (Beograd) (N.S.) 84(98) (2008), 159-174. [Article|Preprint]

[3] J.Vindas, R.Estrada, Distributional point values and convergence of Fourier series and integrals, J. Fourier Anal. Appl. 13 (2007), 551-576. [Article]

[2] J.Vindas, R.Estrada, Distributionally regulated functions, Studia Math. 181 (2007), 211-236. [Article|Preprint]

[1] J.Vindas, R.Estrada, Global behavior of integral transforms, Journal of Inequalities and Applications, vol. 2006, Article ID 61980, 2006. [Article]

Ph.D Thesis

J.Vindas, Local behavior of distributions and applications, Dissertation, Louisiana State University, Baton Rouge, 2009, (x+426 pp.) [pdf]
(This file contains some minor corrections to the original version)