Basic analog of Fourier series on a \(q\)-linear grid.
From MaRDI portal
Publication:5958890
DOI10.1006/jath.2001.3599zbMath1077.33030OpenAlexW1993505113MaRDI QIDQ5958890
Joaquin Bustoz, José Luis Cardoso
Publication date: 6 November 2002
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jath.2001.3599
Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Difference equations, scaling ((q)-differences) (39A13) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)
Related Items (27)
q-Titchmarsh-Weyl theory: series expansion ⋮ On q-analogs of Struve functions ⋮ Asymptotics of zeros of basic sine and cosine functions ⋮ Nevanlinna extremal measures for polynomials related to \(q^{-1}\)-Fibonacci polynomials ⋮ Variations around a general quantum operator ⋮ Variational methods for fractional \(q\)-Sturm-Liouville problems ⋮ Basic Fourier series on a \(q\)-linear grid: convergence theorems ⋮ On the zeros of basic finite Hankel transforms ⋮ The spectrum of q-Cesàro matrices on c and its various spectral decomposition for 0<q<1 ⋮ Hermite-Hadamard inequalities for quantum integrals: a unified approach ⋮ Uniform convergence of basic Fourier-Bessel series on a \(q\)-linear grid ⋮ Basic Fourier series: convergence on and outside the \(q\)-linear grid ⋮ Improved \(q\)-exponential and \(q\)-trigonometric functions ⋮ \(q\)-type sampling theorems ⋮ A completeness theorem for a Hahn-Fourier system and an associated classical sampling theorem ⋮ A basic analog of a theorem of Pólya ⋮ Aβ-Sturm–Liouville problem associated with the general quantum operator ⋮ On basic Fourier-Bessel expansions ⋮ A few properties of the third Jackson \(q\)-Bessel function ⋮ Linear \(q\)-difference equations ⋮ Basic-deformed quantum mechanics ⋮ Some expansions in basic Fourier series and related topics ⋮ Asymptotic formulae for eigenvalues and eigenfunctions of q -Sturm-Liouville problems ⋮ On the zeros of the second and third Jackson q-Bessel functions and their associated q-Hankel transforms ⋮ On reality and asymptotics of zeros of \(q\)-Hankel transforms ⋮ Duhamel solutions of non-homogeneous $q^2$-analogue wave equations ⋮ Non-Archimedean quantum mechanics via quantum groups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The zeros of basic Bessel functions, the functions J(nu+ax)(x), and associated orthogonal polynomials
- Basic analog of Fourier series on a \(q\)-quadratic grid
- On the zeros of the Hahn-Exton \(q\)-Bessel function and associated \(q\)- Lommel polynomials
- The theory of difference analogues of special functions of hypergeometric type
This page was built for publication: Basic analog of Fourier series on a \(q\)-linear grid.
