A basis theory primer.

DOI10.1007/978-0-8176-4687-5zbMath1227.46001OpenAlexW269322745MaRDI QIDQ606623

Publication date: 18 November 2010

Published in: Applied and Numerical Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-0-8176-4687-5

zbMATH Keywords

wavelets Banach spaces Hilbert spaces frames Fourier series bases Riesz bases Schauder bases Zak transform unconditional bases Wiener amalgam spaces Balian-Low theorem Gabor systems

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) Other transformations of harmonic type (42C20) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to harmonic analysis on Euclidean spaces (42-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis (46-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to abstract harmonic analysis (43-01)

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