Herglotz's theorem for Jacobi-Dunkl positive definite sequences
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Frej Chouchene
und
Iness Haouala
Abstract
In this work, we introduce the notion of Jacobi-Dunkl positive definite sequences using the properties of the discrete Jacobi-Dunkl translation. Then, we establish the analogous of Herglotz’s theorem to characterize these sequences.
(Communicated by Tomasz Natkaniec)
Acknowledgement
Thanks to the referees for careful readings and helpful comments and suggestions.
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Artikel in diesem Heft
- Regular papers
- Properties of implication in effect algebras
- On a nonlinear relation for computing the overpartition function
- Six-cycle systems
- Representation of bifinite domains by BF-closure spaces
- L-fuzzy cosets in universal algebras
- Density of sets with missing differences and applications
- Degree of independence of numbers
- A generalization of a result on the sum of element orders of a finite group
- A New fuzzy McShane integrability
- Hankel determinants of second and third order for the class 𝓢 of univalent functions
- Herglotz's theorem for Jacobi-Dunkl positive definite sequences
- Functional inequalities for Gaussian hypergeometric function and generalized elliptic integral of the first kind
- Existence on solutions of a class of casual differential equations on a time scale
- On a general system of difference equations defined by homogeneous functions
- Jordan amenability of banach algebras
- A new notion of orthogonality involving area and length
- Reeb flow invariant ∗-Ricci operators on trans-Sasakian three-manifolds
- A finite graph is homeomorphic to the Reeb graph of a Morse–Bott function
- On first countable quasitopological homotopy groups
