An Introduction to Frames and Riesz Bases, Christensen Ole
Автор: Shayne F. D. Waldron Название: An Introduction to Finite Tight Frames ISBN: 1493979205 ISBN-13(EAN): 9781493979202 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This 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. The first book entirely devoted to finite frames, it features extensive exercises and MATLAB examples for classroom use, important examples, and numerous illustrations. The book provides an overview of the field of finite tight frames and discusses future research directions in the field. 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.
Автор: Christensen Название: An Introduction to Frames and Riesz Bases ISBN: 3319256114 ISBN-13(EAN): 9783319256115 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Charalambos D. Aliprantis; Kim C. Border; Wilhelmu Название: Positive Operators, Riesz Spaces, and Economics ISBN: 3540546588 ISBN-13(EAN): 9783540546580 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: 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 Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Maria Skopina; Aleksandr Krivoshein; Vladimir Prot Название: Multivariate Wavelet Frames ISBN: 9811032041 ISBN-13(EAN): 9789811032042 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Ole Christensen Название: An Introduction to Frames and Riesz Bases ISBN: 1461265002 ISBN-13(EAN): 9781461265009 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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: Skopina Maria, Krivoshein Aleksandr, Protasov Vladimir Название: Multivariate Wavelet Frames ISBN: 9811098174 ISBN-13(EAN): 9789811098178 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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