Pairs of oblique duals in spaces of periodic functions

DOI10.1007/S10444-009-9115-XzbMath1190.41015OpenAlexW2040424259MaRDI QIDQ2379352

Ole Christensen, Say Song Goh

Publication date: 19 March 2010

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-009-9115-x

zbMATH Keywords

trigonometric polynomialsperiodic framesframes in finite-dimensional spacesmixed Gramiansnon-tight framesoblique dual generatorspolyphase splines

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (5)

Pairs of dual periodic frames ⋮ Super Oblique Gabor Duals of Super Gabor Frames on Discrete Periodic Sets ⋮ Quantization and Finite Frames ⋮ Tight periodic wavelet frames and approximation orders ⋮ Finite shift-invariant subspaces of periodic functions: characterization, approximation, and applications

Cites Work

• Multidimensional periodic multiwavelets
• Oblique dual frames and shift-invariant spaces
• Finite normalized tight frames
• Equal-norm tight frames with erasures
• Periodic orthogonal splines and wavelets
• Wavelet frames and shift-invariant subspaces of periodic functions
• An algorithm for constructing multidimensional biorthogonal periodic multiwavelets
• Oblique projections, biorthogonal Riesz bases and multiwavelets in Hilbert spaces
• An introduction to frames and Riesz bases
• Pseudo-duals of frames with applications

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