Some remarks on a proof of geometrical Paley-Wiener theorems for the Dunkl transform

被引：6

作者：

De Jeu, Marcel ^{[1
]}

机构：

[1] Leiden Univ, Math Inst, NL-2300 RA Leiden, Netherlands

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2007年 / 18卷 / 05期

关键词：

Dunkl transform; Paley-Wiener theorem;

D O I：

10.1080/10652460701320752

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We argue that a proof of the geometrical form of the Paley - Wiener theorems for the Dunkl transform in the literature is not correct.

引用

页码：383 / 385

页数：3

共 50 条

[41] Paley-Wiener theorems and uncertainty principles for the windowed linear canonical transform
Kou, Kit-Ian
Xu, Rui-Hui
Zhang, Yan-Hui
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2012, 35 (17) : 2122 - 2132
[42] Paley-Wiener Theorems for the Two-Sided Quaternion Fourier Transform
Mejjaoli, Hatem
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2017, 27 (02) : 1611 - 1631
[43] Real Paley-Wiener Theorems for the Space-Time Fourier Transform
Youssef El Haoui
Mohra Zayed
Acta Mathematica Scientia, 2023, 43 : 1105 - 1115
[44] Paley-Wiener theorems for the U(n)-spherical transform on the Heisenberg group
Astengo, Francesca
Di Blasio, Bianca
Ricci, Fulvio
ANNALI DI MATEMATICA PURA ED APPLICATA, 2015, 194 (06) : 1751 - 1774
[45] Paley-Wiener Theorem for a Generalized Fourier Transform Associated to a Dunkl-Type Operator
Fei, Minggang
Yang, Lan
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2021, 18 (05)
[46] PALEY-WIENER THEOREM FOR RADON TRANSFORM
LAX, PD
PHILLIPS, RS
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1970, 23 (03) : 409 - &
[47] Paley-Wiener Theorems with respect to the spectral parameter
Dann, Susanna
Olafsson, Gestur
NEW DEVELOPMENTS IN LIE THEORY AND ITS APPLICATIONS, 2011, 544 : 55 - 83
[48] Segal-Bargmann transform and Paley-Wiener theorems on Heisenberg motion groups
Sen, Suparna
ADVANCES IN PURE AND APPLIED MATHEMATICS, 2016, 7 (01) : 13 - 28
[49] On Paley-Wiener and Hardy theorems for N A groups
Thangavelu, S
MATHEMATISCHE ZEITSCHRIFT, 2003, 245 (03) : 483 - 502
[50] Paley-Wiener theorems for the Bessel wavelet transformation
Pathak, Ashish
Chaurasia, Dharmendra Kr
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2024, 35 (12) : 716 - 735

← 1 2 3 4 5 →