Jasson Vindas
Associate Professor
Ghent University

Welcome!  

I am an asociate professor (hoofddocent) at the Department of Mathematics: Analysis, Logic and Discrete Mathematics of Ghent University.  I am the head of the research group Functional Analysis and Number Theory.

Contact Information

Department of Mathematics: Analysis,
Logic and Discrete Mathematics
Ghent University
Krijgslaan 281 Building S8
B 9000 Gent, Belgium
Office: 011 (third floor)  
Tel.: (+32) 09 264 4907
E-mail: jasson.vindas@UGent.be

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)


Recent Publications

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).

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

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).

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

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.

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

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).

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.

A.Debrouwere, B.Prangoski, J.Vindas, On the projective description of spaces of ultradifferentiable functions of Roumieu type, Proceedings of the 12th ISAAC congress (Aveiro, 2019). Research Perspectives. Birkhuser, accepted.

R.Carmichael, S.Pilipovic, J.Vindas, Note on vector valued Hardy spaces related to analytic functions having distributional boundary values, Proceedings of the 12th ISAAC congress (Aveiro, 2019). Research Perspectives. Birkhuser, accepted.

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

A.Debrouwere, L.Neyt, J.Vindas, Characterization of nuclearity for Beurling-Bjrck spaces, Proc. Amer. Math. Soc. 12 (2020), 5171-5180.

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

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

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

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

G.Debruyne, F.Maes, J.Vindas, Halsz's theorem for Beurling generalized numbers, Acta Arith. 194 (2020), 59-72.

A.Debrouwere, H.Vernaeve, J.Vindas, A non-linear theory of infrahyperfunctions, Kyoto J. Math. 59 (2019), 869-895.

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

L.Neyt, J.Vindas, Structural theorems for quasiasymptotics of ultradistributions, Asymptot. Anal. 114 (2019), 1-18.

R.Carmichael, S.Pilipovic, J.Vindas, Vector valued Hardy spaces, Complex Var. Ellip. Equ. Complex Var. Ellip. Equ. 64 (2019), 1634-1654.

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

S.Pilipovic, J.Vindas, Tauberian class estimates for vector-valued distributions, Sb. Math. 210 (2019), 272-296; Russian translation in: Mat Sb. 210 (2019), 115-142.

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

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

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 (Vxj, 2017). Trends in Mathematics. Birkhuser, Cham, 2019.

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

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

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

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

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

G.Debruyne, H.G.Diamond, J.Vindas, M(x)=o(x) Estimates for Beurling numbers, J. Thor. Nombres Bordeaux 30 (2018), 469-483.

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 Fs. Nat. Ser. A. Math. RACSAM 112 (2018), 473-508.

.Vuckovic, J.Vindas, Ultradistributional boundary values of harmonic functions on the sphere, J. Math. Anal. Appl., 457 (2018), 533-550.

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

G.Debruyne, J.Vindas, On PNT equivalences for Beurling numbers, Monatsh. Math. 184 (2017), 401-424.

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

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

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

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.

.Vuckovic, J.Vindas, Rotation invariant ultradistributions, in: Generalized Functions and Fourier Analysis, pp. 253-267. Oper. Theory Adv. Appl., Vol. 260, Springer, 2017.

G.Debruyne, J.Vindas, Generalization of the Wiener-Ikehara theorem, Illinois J. Math. 60 (2016), 613-624.

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.

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

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.

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

.Vuckovic, J.Vindas, Eigenfunction expansions of ultradifferentiable functions and ultradistributions in R^n, J. Pseudo-Diff. Oper. Appl. 7 (2016), 519-531.

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

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.

V.Dvou, 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.

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.

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

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

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

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

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

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.

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, Birkhuser, Heidelberg-New York-Dordrecht-London, 2015.

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Last Update: August 20, 2021Send comments to jasson.vindas@UGent.be