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Lipschitz conditions for the generalized Fourier transform associated with the Jacobi–Cherednik operator on ℝ
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Rabiaa Ghabi
Veröffentlicht/Copyright:
16. September 2015
Abstract
In this paper, we consider the generalized Fourier transform associated with the Jacobi–Cherednik operator on ℝ and we give conditions of quite different kind for a function to have a transform belonging to certain Lp-classes.
Keywords: Jacobi–Cherednick operator; Lipschitz class; genaralized Fourier transform; the generalized translation operator; Dini–Lipschitz class
The authors thank the referee for the interest he showed to the paper and for his constructive remarks.
Received: 2014-12-11
Revised: 2015-7-24
Accepted: 2015-8-11
Published Online: 2015-9-16
Published in Print: 2016-1-1
© 2016 by De Gruyter
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Artikel in diesem Heft
- Frontmatter
- Stability and boundedness of solutions of a certain n-dimensional nonlinear delay differential system of third-order
- Segal–Bargmann transform and Paley–Wiener theorems on Heisenberg motion groups
- Solution and fuzzy stability of a mixed type functional equation
- Harmonic analysis and generalized functional equations for the cosine
- Lipschitz conditions for the generalized Fourier transform associated with the Jacobi–Cherednik operator on ℝ
- Constructive description of monogenic functions in a finite-dimensional commutative associative algebra
Schlagwörter für diesen Artikel
Jacobi–Cherednick operator;
Lipschitz class;
genaralized Fourier transform;
the generalized translation operator;
Dini–Lipschitz class
Artikel in diesem Heft
- Frontmatter
- Stability and boundedness of solutions of a certain n-dimensional nonlinear delay differential system of third-order
- Segal–Bargmann transform and Paley–Wiener theorems on Heisenberg motion groups
- Solution and fuzzy stability of a mixed type functional equation
- Harmonic analysis and generalized functional equations for the cosine
- Lipschitz conditions for the generalized Fourier transform associated with the Jacobi–Cherednik operator on ℝ
- Constructive description of monogenic functions in a finite-dimensional commutative associative algebra
