An Introduction to Frames and Riesz Bases, Ole Christensen

Автор: Christensen
Название: An Introduction to Frames and Riesz Bases
ISBN: 3319256114 ISBN-13(EAN): 9783319256115
Издательство: Springer
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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: ?ric Gourgoulhon
Название: Special Relativity in General Frames
ISBN: 3642372759 ISBN-13(EAN): 9783642372759
Издательство: Springer
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Цена: 11878.00 р.
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Описание: This well-illustrated book presents many applications of special relativity, from particle physics to astrophysics, to Sagnac gyrometers and GPS, as well as mathematical developments such as the detailed analysis of the Lorentz group and its Lie algebra.

Автор: Isaac Pesenson; Quoc Thong Le Gia; Azita Mayeli; H
Название: Frames and Other Bases in Abstract and Function Spaces
ISBN: 3319555499 ISBN-13(EAN): 9783319555492
Издательство: Springer
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Цена: 16769.00 р.
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Описание: Frames: Theory and Practice.- Dynamical Sampling and Systems from Iterative Actions of Operators.- Optimization Methods for Frame Conditioning and Application to Graph Laplacian Scaling.- A Guide to Localized Frames and Applications to Galerkin-Like Representations of Operators.- Computing the Distance between Frames and between Subspaces of a Hilbert Space.- Sigma-Delta Quantization for Fusion Frames and Distributed Sensor Networks.- Recent Progress in Shearlet Theory: Systematic Construction of Shearlet Dilation Groups, Characterization of Wavefront Sets, and New Embeddings.- Numerical Solution to an Energy Concentration Problem Associated with the Special Affine Fourier Transformation.- A Frame Reconstruction Algorithm with Applications to Magnetic Resonance Imaging.- Frame Properties of Shifts of Prolate and Bandpass Prolate Functions.- Fast Fourier Transforms for Spherical Gauss-Laguerre Basis Functions.- Multiscale Radial Basis Functions.- Orthogonal Wavelet Frames on Manifolds Based on Conformal Mappings.- Quasi Monte Carlo Integration and Kernel-Based Function Approximation on Grassmannians.- Construction of Multiresolution Analysis Based on Localized Reproducing Kernels.- Regular Sampling on Metabelian Nilpotent Lie Groups: The Multiplicity-Free Case.- Parseval Space-Frequency Localized Frames on Sub-Riemann Compact Homogeneous Manifolds.

Автор: Charalambos D. Aliprantis; Kim C. Border; Wilhelmu
Название: Positive Operators, Riesz Spaces, and Economics
ISBN: 3540546588 ISBN-13(EAN): 9783540546580
Издательство: Springer
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Цена: 20962.00 р.
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Описание: Contains the proceedings of a conference on mathematical economics held at the California Institute of Technology in 1990, whose aim was to explore the functional analytic techniques employed in economics and, in particular, the theory of Riesz spaces and positive operators.

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: Zuheir Altamimi; Xavier Collilieux
Название: Reference Frames for Applications in Geosciences
ISBN: 364244816X ISBN-13(EAN): 9783642448164
Издательство: Springer
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Цена: 22201.00 р.
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Описание: Reference systems and frames are of primary importance for many Earth science applications, satellite navigation as well as for practical applications in geo-information.

Автор: Bernadette Bouchon-Meunier; Ronald R. Yager; Lotfi
Название: Uncertainty in Knowledge Bases
ISBN: 3540543465 ISBN-13(EAN): 9783540543466
Издательство: Springer
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Цена: 16070.00 р.
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Описание: Contains papers which reflect research in the field of the management and processing of uncertain information, foundations of the various approaches, attempts to develop systems combining approaches, and some paradigmatic domains of intelligent systems.

Автор: Bump Daniel Et Al
Название: Crystal Bases: Representations And Combinatorics
ISBN: 9814733431 ISBN-13(EAN): 9789814733434
Издательство: World Scientific Publishing
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Цена: 15523.00 р.
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Описание: This unique book provides the first introduction to crystal base theory from the combinatorial point of view.

Автор: ?ric Gourgoulhon
Название: Special Relativity in General Frames
ISBN: 3662520834 ISBN-13(EAN): 9783662520833
Издательство: Springer
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Цена: 11878.00 р.
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Описание: This well-illustrated book presents many applications of special relativity, from particle physics to astrophysics, to Sagnac gyrometers and GPS, as well as mathematical developments such as the detailed analysis of the Lorentz group and its Lie algebra.

Автор: Satoshi Aoki; Hisayuki Hara; Akimichi Takemura
Название: Markov Bases in Algebraic Statistics
ISBN: 1489999094 ISBN-13(EAN): 9781489999092
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Intended for statisticians less well versed in algebra, this volume is full of practical statistical problems and sets the topic in its broader context, giving statisticians the necessary grounding to enable them to begin work in this rapidly developing field.