Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/an-analog-of-the-titchmarsh-s-theorem-for-the-first-hankel-clifford-o1ws7oLQ66
References (23)
-
SS Platonov (2017)
An analog of Titchmarsh’s of the Group of p\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p$$\end{document}-Adic Numbers, p\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p$$\end{document}-Adic NumbersUltrametric Analysis and Applications, 9
-
E. Belkina, S. Platonov (2008)
Equivalence of K-functionals and modulus of smoothness constructed by generalized Dunkl translationsRussian Mathematics, 52
-
R. Pathak, P. Pandey (1995)
A Class of Pseudo-Differential Operators Associated with Bessel OperatorsJournal of Mathematical Analysis and Applications, 196
-
(1948)
Introdution to the theory of Fourier Integrals, (Oxford -
R. Daher, M. Boujeddaine, M. Hamma (2016)
Generalization of Titchmarsh’s theorem for the Fourier transform in the Space $$\mathrm {L}^{2}(\mathbb {R}^{n})$$L2(Rn)Afrika Matematika, 27
-
S. Platonov (2018)
An Analog of Titchmarsh’s Theorem for the Fourier–Walsh TransformMathematical Notes, 103
-
A. Gray (1934)
A Treatise on Bessel Functions and Their Applications to Physics. by Andrew Gray and G.B. MathewsThe Mathematical Gazette, 18
-
S. Platonov (2017)
An analogue of the Titchmarsh theorem for the Fourier transform on the group of p-adic numbersp-Adic Numbers, Ultrametric Analysis and Applications, 9
-
M El Hamma, R Daher (2012)
Generalization of Titchmarsh’s theorem for the Bessel transformRom. J. Math and Compt. Scien, 2
-
R. Daher, M. Hamma (2014)
Generalization of Titchmarsh’s Theorem for the Fourier Transform in the Space L2(R), 33
-
D. Haimo (1965)
Integral equations associated with Hankel convolutionsTransactions of the American Mathematical Society, 116
-
J.M.R.Méndez Pérez, M. Robayna (1991)
A pair of generalized Hankel-Clifford transformations and their applicationsJournal of Mathematical Analysis and Applications, 154
-
R. Daher (2012)
An Analog of Titchmarsh’s Theorem of Jacobi Transform -
G. Watson (1923)
Bessel Functions. (Scientific Books: A Treatise on the Theory of Bessel Functions)Science
-
(2001)
Abilova.Approximation of Functions by Fourier-Bessel sums, IZV -
R. Daher (2014)
GENERALIZATION OF TITCHMARSH’S THEOREM FOR THE BESSEL TRANSFORM IN THE SPACE Lp,α(R+) -
A. Prasad, Manish Kumar (2010)
Continuity of pseudo-differential operator h μ, a involving Hankel translation and Hankel convolution on some Gevrey spacesIntegral Transforms and Special Functions, 21
-
A. Prasad, V. Singh, M. Dixit (2012)
PSEUDO-DIFFERENTIAL OPERATORS INVOLVING HANKEL–CLIFFORD TRANSFORMATIONAsian-european Journal of Mathematics, 05
-
R. Daher, M. Hamma (2016)
An analog of Titchmarsh’s theorem for the generalized Dunkl transformJournal of Pseudo-Differential Operators and Applications, 7
-
L. Milne‐Thomson (1945)
A Treatise on the Theory of Bessel FunctionsNature, 156
-
S. Malgonde, S. Bandewar (2000)
On the generalized Hankel-Clifford transformation of arbitrary orderProceedings Mathematical Sciences, 110
-
Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations -
A. Zemanian (1987)
Generalized Integral Transformations
- Publisher
- Springer Journals
- Copyright
- Copyright © Forum D'Analystes, Chennai 2021
- ISSN
- 0971-3611
- eISSN
- 2367-2501
- DOI
- 10.1007/s41478-020-00300-7
- Publisher site
- See Article on Publisher Site
Abstract
Using a translation operator, we obtain an analog of Titchmarsh’s theorem for the first Hankel-Clifford transform for functions satisfying the Clifford Lipschitz condition in the space L2((0,+∞),xμ)\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\mathrm {L}^{2}((0,+\infty ), x^{\mu })$$\end{document}, where μ≥0\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\mu \ge 0$$\end{document}. .
Journal
The Journal of Analysis – Springer Journals
Published: Dec 1, 2021
Keywords: Translation operator; First Hankel-Clifford transform; Clifford Lipschitz class; 46F12