q-Frames and Bessel Functions
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Publication:2919992
DOI10.1080/01630563.2012.682139zbMath1259.42022OpenAlexW2072789183MaRDI QIDQ2919992
Palle E. T. Jorgensen, Anna Maria Paolucci
Publication date: 23 October 2012
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630563.2012.682139
Dual algebras; weakly closed singly generated operator algebras (47L45) General harmonic expansions, frames (42C15) Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable (33D50) Uniqueness and localization for orthogonal series (42C25)
Related Items (8)
Von Neumann indices and classes of positive definite functions ⋮ Projective representations of the loop group and the Boson-Fermion correspondence ⋮ Monopoles, dipoles, and harmonic functions on Bratteli diagrams ⋮ Asymptotic semicircular law induced by \(p\)-adic number fields \(\mathbb{Q}_p\) over primes ⋮ 𝑊-Markov measures, transfer operators, wavelets and multiresolutions ⋮ Semicircular-like and semicircular laws on Banach \(*\)-probability spaces induced by dynamical systems of the finite adele ring \(A_{\mathbb{Q}}\) ⋮ Semicircular elements induced by p-adic number fields ⋮ L\({}^ p\) harmonic analysis and Radon transforms on the Heisenberg group
Cites Work
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- The zeros of basic Bessel functions, the functions J(nu+ax)(x), and associated orthogonal polynomials
- Simple \(C^*\)-algebras generated by isometries
- Isometries, shifts, Cuntz algebras and multiresolution wavelet analysis of scale \(N\)
- On the Completeness of Sets of q-Bessel Functions Jν(3)(x; q)
- A 𝑞-sampling theorem related to the 𝑞-Hankel transform
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