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

F.Broucke, G.Debruyne, J.Vindas, The optimal Malliavin-type remainder for Beurling generalized integers, J. Inst. Math. Jussieu, in press.

A.Debrouwere, J.Vindas, Quasianalytic functionals and ultradistributions as boundary values of harmonic functions, Publ. Res. Inst. Math. Sci., to appear.

S.Pilipovic, D.Scarpalezos, J.Vindas, Besov regularity in non-linear generalized functions, Monatsh. Math. (2022), in press.

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.

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.

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.

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.

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-Björck 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 Fís. 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, Halász'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 (Växjö, 2017). Trends in Mathematics. Birkhäuser, 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. Théor. 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 Fís. Nat. Ser. A. Math. RACSAM 112 (2018), 473-508.

Ð.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.

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

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J.Vindas


Last Update: December 1, 2022Send comments to jasson.vindas@UGent.be