Estimates of functionals by deviations of Steklov type averages generated by Dunkl type operators

Vinogradov, O. L.

doi:10.1007/s10958-012-0876-2

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The Translation Operator Associated With the Jacobi-dunkl Tr...2

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2022

2023

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Cited by 5 publications

(2 citation statements)

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“…This convolution is commutative, associative and its satisfies the following properties, for the proofs we refer the reader to [2,24,25]. Proposition 2.5.…”

Section: The Translation Operator Associated With the Jacobi-dunkl Tr...mentioning

confidence: 99%

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Spectral theorems for Wigner transform associated with the Jacobi-Dunkl localization operators

Chana

Akhlidj

2023

Preprint

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The main purpose of this paper is to define the Wigner transform associated with the Jacobi-Dunkl operator and to give some results related to this transform as inversion formula, next motivated by Wong’s point of view we define a class of pseudo-differential operator Lu,v(σ) called localization operator wich depend on a symbol σ and two functions u and v, we give a criteria in terms of the symbol σ for its boundedness and compactness,we also show that these operators belongs to the Schatten-Von Neumann class Sp for all p ∈ [1; +∞] and we give a trace formula. MSC2020-Mathematics Subject Classification: 42B10, 47G30, 47B10.

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“…This convolution is commutative, associative and its satisfies the following properties, for the proofs we refer the reader to [2,24,25]. Proposition 2.5.…”

Section: The Translation Operator Associated With the Jacobi-dunkl Tr...mentioning

confidence: 99%

“…The following proposition summarizes some properties of the Jacobi-Dunkl translation operator, for the proofs we refer the reader to [1,2,24,25] . Proposition 2.4.…”

Section: The Translation Operator Associated With the Jacobi-dunkl Tr...mentioning

confidence: 99%

Spectral theorems for Wigner transform associated with the Jacobi-Dunkl localization operators

Chana

Akhlidj

2023

Preprint

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Discrete Jacobi–Dunkl Transform and Approximation Theorems

Tyr

Daher

2022

Mediterr. J. Math.

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Some Direct and Inverse Theorems of Approximation of Functions in Jacobi-Dunkl Discrete Harmonic Analysis

Tyr

Daher

2022

J Math Sci

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Estimates of functionals by deviations of Steklov type averages generated by Dunkl type operators

Cited by 5 publications

References 25 publications

Spectral theorems for Wigner transform associated with the Jacobi-Dunkl localization operators

Spectral theorems for Wigner transform associated with the Jacobi-Dunkl localization operators

Discrete Jacobi–Dunkl Transform and Approximation Theorems

Some Direct and Inverse Theorems of Approximation of Functions in Jacobi-Dunkl Discrete Harmonic Analysis

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