Biorthogonal wavelets in a generalized Sobolev space

DOI10.1080/10652460600879288zbMath1129.42444OpenAlexW1995908130MaRDI QIDQ5491351

Gireesh Pandey, Ram Shankar Pathak

Publication date: 11 October 2006

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460600879288

zbMATH Keywords

Sobolev spacesRiesz basisultradistributionsbiorthogonal wavelets

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Cites Work

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• A pair of biorthogonal polynomials for the Szegö-Hermite weight function
• Some biorthogonal polynomials suggested by the Laguerre polynomials
• Biorthogonal wavelets in \(H^m(\mathbb{R})\)
• Wavelets in a generalized Sobolev space
• Linear partial differential operators and generalized distributions
• On Compactly Supported Spline Wavelets and a Duality Principle
• Biorthogonal bases of compactly supported wavelets
• Some properties of biorthogonal polynomials

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