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Positivity of the transmutation operators associated with a Cherednik type operator on the real line
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Khalifa Trimèche
Veröffentlicht/Copyright:
1. Februar 2013
Abstract.
In this paper we prove the positivity of the transmutation operators associated with a Cherednik type operator on the real line, and we deduce the positivity of the transmutation operators related to the Jacobi–Cherednik operator on ℝ and the Cherednik operator in the one-dimensional case.
Received: 2012-05-17
Revised: 2012-11-25
Accepted: 2012-11-25
Published Online: 2013-02-01
Published in Print: 2013-02-01
© 2013 by Walter de Gruyter Berlin Boston
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Artikel in diesem Heft
- Masthead
- A recent application of power increasing sequences
- Positivity of the transmutation operators associated with a Cherednik type operator on the real line
- Solvability of p-Laplacian singular boundary value problems on time scales
- Harmonic boundary value problems in a quarter ring domain
- Sampling of homogeneous polynomials and approximating multivariate functions
Schlagwörter für diesen Artikel
Cherednik type operator;
Jacobi–Cherednik
operator on ℝ;
transmutation operators
Artikel in diesem Heft
- Masthead
- A recent application of power increasing sequences
- Positivity of the transmutation operators associated with a Cherednik type operator on the real line
- Solvability of p-Laplacian singular boundary value problems on time scales
- Harmonic boundary value problems in a quarter ring domain
- Sampling of homogeneous polynomials and approximating multivariate functions
