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000826135 020__ $$a9780817648152$$q(electronic book)
000826135 020__ $$a0817648151$$q(electronic book)
000826135 020__ $$z9780817648145
000826135 0247_ $$a10.1007/978-0-8176-4815-2$$2doi
000826135 035__ $$aSP(OCoLC)on1021854532
000826135 035__ $$aSP(OCoLC)1021854532
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000826135 049__ $$aISEA
000826135 050_4 $$aQA433
000826135 08204 $$a512/.52$$223
000826135 1001_ $$aWaldron, Shayne,$$d1968-$$eauthor.
000826135 24513 $$aAn introduction to finite tight frames /$$cShayne F. D. Waldron.
000826135 264_1 $$aNew York, NY :$$bBirkhäuser,$$c2018.
000826135 300__ $$a1 online resource (xx, 587 pages) :$$billustrations.
000826135 336__ $$atext$$btxt$$2rdacontent
000826135 337__ $$acomputer$$bc$$2rdamedia
000826135 338__ $$aonline resource$$bcr$$2rdacarrier
000826135 4901_ $$aApplied and numerical harmonic analysis,$$x2296-5009
000826135 504__ $$aIncludes bibliographical references and index.
000826135 5050_ $$aPreface -- Tight Frames -- Frames -- Canonical Coordinates for Vector Spaces and Affine Spaces -- Combining and Decomposing Frames -- Variational Characterizations of Tight Frames -- The Algebraic Variet of Tight Frames -- Projective Unitary Equivalence and Fusion Frames -- Symmetries of Tight Frames -- Group Frames -- Harmonic Frames -- Equiangular and Grassmannian Frames -- Tight Frames Generated by Nonabelian Groups -- Weyl-Heisenberg SICs -- Tight Frames of Orthogonal Polynomials on the Simplex -- Continuous Tight Frames for Finite Dimensional Spaces -- Solutions -- References -- Index -- .
000826135 506__ $$aAccess limited to authorized users.
000826135 520__ $$aThis textbook is an introduction to the theory and applications of finite tight frames, an area that has developed rapidly in the last decade. Stimulating much of this growth are the applications of finite frames to diverse fields such as signal processing, quantum information theory, multivariate orthogonal polynomials, and remote sensing. Key features and topics: * First book entirely devoted to finite frames * Extensive exercises and MATLAB examples for classroom use * Important examples, such as harmonic and Heisenberg frames, are presented in preliminary chapters, encouraging readers to explore and develop an intuitive feeling for tight frames * Later chapters delve into general theory details and recent research results * Many illustrations showing the special aspects of the geometry of finite frames * Provides an overview of the field of finite tight frames * Discusses future research directions in the field Featuring exercises and MATLAB examples in each chapter, the book is well suited as a textbook for a graduate course or seminar involving finite frames. The self-contained, user-friendly presentation also makes the work useful as a self-study resource or reference for graduate students, instructors, researchers, and practitioners in pure and applied mathematics, engineering, mathematical physics, and signal processing.--$$cProvided by publisher.
000826135 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed February 5, 2018).
000826135 650_0 $$aFrames (Vector analysis)
000826135 650_0 $$aFinite groups.
000826135 830_0 $$aApplied and numerical harmonic analysis.
000826135 852__ $$bebk
000826135 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-0-8176-4815-2$$zOnline Access$$91397441.1
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000826135 980__ $$aEBOOK
000826135 980__ $$aBIB
000826135 982__ $$aEbook
000826135 983__ $$aOnline
000826135 994__ $$a92$$bISE