Article
Licensed
Unlicensed
Requires Authentication
Positivity of the transmutation operators associated with a Cherednik type operator on the real line
-
Khalifa Trimèche
Published/Copyright:
February 1, 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
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- 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
Keywords for this article
Cherednik type operator;
Jacobi–Cherednik
operator on ℝ;
transmutation operators
Articles in the same Issue
- 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
