Описание: Covers the basic elements of the Gibbs phenomenon as it appears in various applications where functions with jump discontinuities are represented. This book addresses methods of reducing, or filtering out, and such phenomena that cover the above function representations. It also includes a bibliography of some 350 references.
"This book is suitable as a textbook for an introductory undergraduate mathematics course on discrete Fourier and wavelet transforms for students with background in calculus and linear algebra. The particular strength of this book is its accessibility to students with no background in analysis. The exercises and computer explorations provide the reader with many opportunities for active learning. Studying from this text will also help students strengthen their background in linear algebra."
Mathematical Association of America
This textbook for undergraduate mathematics, science, and engineering students introduces the theory and applications of discrete Fourier and wavelet transforms using elementary linear algebra, without assuming prior knowledge of signal processing or advanced analysis.
It explains how to use the Fourier matrix to extract frequency information from a digital signal and how to use circulant matrices to emphasize selected frequency ranges. It introduces discrete wavelet transforms for digital signals through the lifting method and illustrates through examples and computer explorations how these transforms are used in signal and image processing. Then the general theory of discrete wavelet transforms is developed via the matrix algebra of two-channel filter banks. Finally, wavelet transforms for analog signals are constructed based on filter bank results already presented, and the mathematical framework of multiresolution analysis is examined.
Автор: Oleinik, O. A. Название: Second-order equations with nonnegative characteristic form ISBN: 1468489674 ISBN-13(EAN): 9781468489675 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Second order equations with nonnegative characteristic form constitute a new branch of the theory of partial differential equations, having arisen within the last 20 years, and having undergone a particularly intensive development in recent years.
Автор: Izu Vaisman Название: Symplectic Geometry and Secondary Characteristic Classes ISBN: 1475719620 ISBN-13(EAN): 9781475719628 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Tondeur (43], and it indicates that the Maslov class is a secondary characteristic class of a complex trivial vector bundle endowed with a real reduction of its structure group. Arnold about the Maslov class (2], it is also pointed out without details that the Maslov class is characteristic in the category of vector bundles mentioned pre- viously.
Описание: Over the last decades, the study of nonself-adjoint or nonunitary operators has been mainly based on the method of characteristic functions and on methods of model construction or dilatation for corresponding operator classes.
Описание: Transfer functions and characteristic functions proved to be key in operator theory and system theory. Moshe Livic played a major role in developing these functions, and this book of papers dedicated to his memory covers a wide variety of topics in the field.
Автор: Sabrine Arfaoui, Imen Rezgui, Anouar Ben Mabrouk Название: Wavelet Analysis on the Sphere: Spheroidal Wavelets ISBN: 311048109X ISBN-13(EAN): 9783110481099 Издательство: Walter de Gruyter Рейтинг: Цена: 18586.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This monograph is concerned with wavelet harmonic analysis on the sphere. By starting with orthogonal polynomials and functional Hilbert spaces on the sphere, the foundations are laid for the study of spherical harmonics such as zonal functions. The book also discusses the construction of wavelet bases using special functions, especially Bessel, Hermite, Tchebychev, and Gegenbauer polynomials.
Contents Review of orthogonal polynomials Homogenous polynomials and spherical harmonics Review of special functions Spheroidal-type wavelets Some applications Some applications
Описание: This book will present functional analysis to the readers who do not know anything about the subject. The prime focus will be parts that are applied in case of FEM and wavelets.
Автор: Arfaoui, Sabrine Ben Mabrouk, Anouar Cattani, Carlo Название: Wavelet analysis ISBN: 0367562189 ISBN-13(EAN): 9780367562182 Издательство: Taylor&Francis Рейтинг: Цена: 17609.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a basic and self-contained introduction to the ideas underpinning wavelet theory and its diverse applications. This book is suitable for master`s or PhD students, senior researchers, or scientists working in industrial settings, where wavelets are used to model real world phenomena.
Автор: Carlos E. D`Attellis; Elena M. Fernandez-Berdaguer Название: Wavelet Theory and Harmonic Analysis in Applied Sciences ISBN: 146127379X ISBN-13(EAN): 9781461273790 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The idea of this book originated in the works presented at the First Latinamerican Conference on Mathematics in Industry and Medicine, held in Buenos Aires, Argentina, from November 27 to December 1, 1995. There are excellent introductions already available, for example, Chapter one in Wavelets in Medicine and Biology, edited by A.
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