An introduction to Frames and Riesz bases. (2016)

• Record Type: Book
• Further Information: Note: Ole Christensen.
• Authors: Christensen, Ole, 1966-
• 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.
• Publisher Details: Switzerland : Birkhäuser
• Publication Date: 2016
• Extent: 1 online resource (xxv, 704 pages), illustrations (some color)
• Subjects: 515/.63; 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 theory; Electronic books
• Languages: English
• ISBNs: 9783319256139; 3319256130; 3319256114; 9783319256115
• Related ISBNs: 9783319256115
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed June 6, 2016).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.