Paley–Wiener–Schwartz Type Theorem for the Stockwell-Transform of Distributions

被引：0

作者：

Pathak A. ^{[1
]}

Chaurasia D.K. ^{[1
]}

机构：

[1] Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi

来源：

International Journal of Applied and Computational Mathematics | 2024年 / 10卷 / 2期

关键词：

42A38; 44A15; 46F12; Distribution spaces; Fourier transform; Stockwell transform;

D O I：

10.1007/s40819-024-01707-7

中图分类号：

学科分类号：

摘要：

In the present paper, we develop the Paley–Wiener Schwartz type theorem for Stockwell transform on compactly supported distribution spaces. Furthermore, utilizing the relationship between the Stockwell transform and the double Fourier transforms established the Paley–Wiener–Schwartz type theorem. © The Author(s), under exclusive licence to Springer Nature India Private Limited 2024.

引用

共 50 条

[21] Paley–Wiener Theorem for a Generalized Fourier Transform Associated to a Dunkl-Type Operator
Minggang Fei
Lan Yang
Mediterranean Journal of Mathematics, 2021, 18
[22] A simple proof of a Paley-Wiener type theorem for the Chebli-Trimeche transform
Andersen, NB
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2004, 64 (3-4): : 473 - 479
[23] ON A THEOREM OF PALEY AND WIENER
MILLER, RT
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 113 (03) : 643 - 649
[24] On a theorem of Paley and Wiener
Hardy, GH
PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1937, 33 : 1 - 5
[25] A Paley-Wiener Theorem for the Mehler-Fock Transform
Montes-Rodriguez, Alfonso
Virtanen, Jani
COMPUTATIONAL METHODS AND FUNCTION THEORY, 2024,
[26] The Paley-Wiener theorem for the generalized radon transform on the plane
Popov, DA
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2003, 37 (03) : 215 - 220
[27] PALEY-WIENER THEOREM FOR EXPONENTIAL RADON-TRANSFORM
KUCHMENT, PA
LVIN, SY
ACTA APPLICANDAE MATHEMATICAE, 1990, 18 (03) : 251 - 260
[28] On a theorem of Paley and Wiener
Hille, E
Tamarkin, JD
ANNALS OF MATHEMATICS, 1933, 34 : 606 - 614
[29] A Paley-Wiener theorem for distributions on reductive symmetric spaces
Van den Ban, E. P.
Schlichtkrull, H.
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 2007, 6 (04) : 557 - 577
[30] A REAL PALEY-WIENER THEOREM FOR THE GENERALIZED DUNKL TRANSFORM
Abouelaz, A.
Achak, A.
Daher, R.
Loualid, El.
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2015, 8 (02): : 87 - 92

← 1 2 3 4 5 →