Frames and Other Bases in Abstract and Function Spaces, Isaac Pesenson; Quoc Thong Le Gia; Azita Mayeli; H

Автор: Ole Christensen
Название: An Introduction to Frames and Riesz Bases
ISBN: 1461265002 ISBN-13(EAN): 9781461265009
Издательство: Springer
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Цена: 6986.00 р.
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Описание: The Applied and Numerical Harmonic Analysis ( ANHA) book series aims to provide the engineering, mathematical, and scientific communities with significant developments in harmonic analysis, ranging from abstract har- monic analysis to basic applications.

Автор: Maria Skopina; Aleksandr Krivoshein; Vladimir Prot
Название: Multivariate Wavelet Frames
ISBN: 9811032041 ISBN-13(EAN): 9789811032042
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This book presents a systematic study of multivariate wavelet frames with matrix dilation, in particular, orthogonal and bi-orthogonal bases, which are a special case of frames.

Автор: Melvyn B. Nathanson
Название: Additive Number Theory The Classical Bases
ISBN: 1441928480 ISBN-13(EAN): 9781441928481
Издательство: Springer
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Цена: 12577.00 р.
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Автор: Christensen
Название: An Introduction to Frames and Riesz Bases
ISBN: 3319256114 ISBN-13(EAN): 9783319256115
Издательство: Springer
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Цена: 11179.00 р.
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Описание: This revised and expanded monograph presents the general theory for frames and Riesz bases in Hilbert spaces as well as its concrete realizations within Gabor analysis, wavelet analysis, and generalized shift-invariant systems.  Compared with the first edition, more emphasis is put on explicit constructions with attractive properties.  Based on the exiting development of frame theory over the last decade, this second edition now includes new sections on the rapidly growing fields of LCA groups, generalized shift-invariant systems, duality theory for as well Gabor frames as wavelet frames, and open problems in the field. Key features include:*Elementary introduction to frame theory in finite-dimensional spaces * Basic results presented in an accessible way for both pure and applied mathematicians * Extensive exercises make the work suitable as a textbook for use in graduate courses * Full proofs included in introductory chapters; only basic knowledge of functional analysis required * Explicit constructions of frames and dual pairs of frames, with applications and connections to time-frequency analysis, wavelets, and generalized shift-invariant systems* Discussion of frames on LCA groups and the concrete realizations in terms of Gabor systems on the elementary groups; connections to sampling theory * Selected research topics presented with recommendations for more advanced topics and further reading* Open problems to stimulate further research An Introduction to Frames and Riesz Bases will be of interest to graduate students and researchers working in pure and applied mathematics, mathematical physics, and engineering. Professionals working in digital signal processing who wish to understand the theory behind many modern signal processing tools may also find this book a useful self-study reference. Review of the first edition:'Ole Christensen’s An Introduction to Frames and Riesz Bases is a first-rate introduction to the field … . The book provides an excellent exposition of these topics. The material is broad enough to pique the interest of many readers, the included exercises supply some interesting challenges, and the coverage provides enough background for those new to the subject to begin conducting original research.'   — Eric S. Weber, American Mathematical Monthly, Vol. 112, February, 2005 

Автор: Z. Semadeni
Название: Schauder Bases in Banach Spaces of Continuous Functions
ISBN: 3540114815 ISBN-13(EAN): 9783540114819
Издательство: Springer
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Цена: 3487.00 р.
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Автор: Eugene Wachspress
Название: Rational Bases and Generalized Barycentrics
ISBN: 3319372203 ISBN-13(EAN): 9783319372204
Издательство: Springer
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Цена: 15672.00 р.
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Описание: Authored by the namesake of the Wachspress Coordinates, the book develops construction of basis functions for a broad class of elements which have widespread graphics and finite element application. Part one is the 1975 book "A Rational Finite Element Basis" (with minor updates and corrections) written by Dr. Wachspress.

Автор: Mikhail Klin; Gareth A. Jones; Aleksandar Jurisic;
Название: Algorithmic Algebraic Combinatorics and Gr?bner Bases
ISBN: 3642424384 ISBN-13(EAN): 9783642424380
Издательство: Springer
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Цена: 23058.00 р.
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Описание: This collection of tutorial and research papers introduces readers to diverse areas of modern pure and applied algebraic combinatorics and finite geometries. There is special emphasis on algorithmic aspects and the use of the theory of Grobner bases.