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An introduction to Frames and Riesz bases / Ole Christensen.

By: Christensen, Ole, 1966- [author.].
Material type: TextTextSeries: Applied and numerical harmonic analysis: Publisher: Switzerland : Birkhäuser, 2016Description: xxv, 704 pages : E 79.99 illustrations (some color).Content type: text Media type: computer Carrier type: online resourceISBN: 9783319256115 (hbk.); 3319256130; 3319256114; 9783319256115.Subject(s): Mathematics | Frames (Vector analysis) | Bases (Linear topological spaces) | Bases (Linear topological spaces) | Frames (Vector analysis) | Mathematics -- Mathematical Analysis | Mathematics -- Functional Analysis | Technology & Engineering -- Electronics -- General | Complex analysis, complex variables | Functional analysis & transforms | Imaging systems & technology | Functional analysis | Harmonic analysis | Operator theoryGenre/Form: Electronic books.DDC classification: 515/.63
Contents:
Frames in Finite-dimensional Inner Product Spaces -- Infinite-dimensional Vector Spaces and Sequences -- Bases -- Bases and their Limitations -- Frames in Hilbert Spaces -- Tight Frames and Dual Frame Pairs -- Frames versus Riesz Bases -- Selected Topics in Frame Theory -- Frames of Translates -- Shift-Invariant Systems in l2(R) -- Gabor Frames in L2(R) -- Gabor Frames and Duality -- Selected Topics on Gabor Frames -- Gabor Frames in ℓ2(Z), L2(0, L), CL -- General Wavelet Frames in L2(R) -- Dyadic Wavelet Frames for L2(R) -- Frame Multiresolution Analysis -- Wavelet Frames via Extension Principles -- Selected Topics on Wavelet Frames -- Generalized Shift-Invariant Systems in L2(Rd) -- Frames on Locally Compact Abelian Groups -- Perturbation of Frames -- Approximation of the Inverse Frame Operator -- Expansions in Banach Spaces. Appendix.
List(s) this item appears in: 2018-12-18
Item type Current location Call number Status Date due Barcode Item holds
Book Chennai Mathematical Institute
General Stacks 		515.63 CHR (Browse shelf) Available 10531
Total holds: 0

Includes bibliographical references and index.

Frames in Finite-dimensional Inner Product Spaces -- Infinite-dimensional Vector Spaces and Sequences -- Bases -- Bases and their Limitations -- Frames in Hilbert Spaces -- Tight Frames and Dual Frame Pairs -- Frames versus Riesz Bases -- Selected Topics in Frame Theory -- Frames of Translates -- Shift-Invariant Systems in l2(R) -- Gabor Frames in L2(R) -- Gabor Frames and Duality -- Selected Topics on Gabor Frames -- Gabor Frames in ℓ2(Z), L2(0, L), CL -- General Wavelet Frames in L2(R) -- Dyadic Wavelet Frames for L2(R) -- Frame Multiresolution Analysis -- Wavelet Frames via Extension Principles -- Selected Topics on Wavelet Frames -- Generalized Shift-Invariant Systems in L2(Rd) -- Frames on Locally Compact Abelian Groups -- Perturbation of Frames -- Approximation of the Inverse Frame Operator -- Expansions in Banach Spaces. Appendix.

Online resource; title from PDF title page (SpringerLink, viewed June 6, 2016).