On the Jacobi-Dunkl coefficients of Lipschitz and Dini-Lipschitz functions on the circle

Trigonometric approximation (42A10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other special orthogonal polynomials and functions (33C47) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Cites Work

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Growth and integrability of Fourier transforms on Euclidean space
Lipschitz conditions for the generalized discrete Fourier transform associated with the Jacobi operator on \([0, \pi]\)
Estimates of functionals by deviations of Steklov type averages generated by Dunkl type operators
Absolutely convergent Fourier series and function classes
Fourier transforms of Dini-Lipschitz functions
On generalized Lipschitz classes and Fourier series
Harmonic analysis associated with the Jacobi-Dunkl operator on \(]-\frac{\pi}{2},\frac{\pi}{2}[\)
An analog of Titchmarsh's theorem for the \(q\)-Bessel transform
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Weighted approximation for the generalized discrete Fourier-Jacobi transform on space \(L_p(\mathbb{T})\)
An analog of Titchmarsh's theorem for the q-Dunkl transform in the space \(L_{q,\alpha }^2({\mathbb{R}}_q)\)
Multiple Fourier coefficients and generalized Lipschitz classes in uniform metric
Titchmarsh theorems for Fourier transforms of Hölder-Lipschitz functions on compact homogeneous manifolds
Positivity and the convolution structure for Jacobi series
Introduction to the theory of Fourier integrals.
Approximation processes for fourier-jacobi expansions^†
Integrability of the Fourier–Jacobi transform of functions satisfying Lipschitz and Dini–Lipschitz-type estimates
Fourier-Jacobi harmonic analysis and approximation of functions
A Convolution Structure for Jacobi Series
Discrete Fourier-Jacobi transform and generalized Lipschitz classes

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