Описание: This book investigates the convergence and summability of both one-dimensional and multi-dimensional Fourier transforms, as well as the theory of Hardy spaces.
Автор: Eckhard Hitzer; Stephen J. Sangwine Название: Quaternion and Clifford Fourier Transforms and Wavelets ISBN: 3034807775 ISBN-13(EAN): 9783034807777 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book discusses the state of the art of hypercomplex Fourier and Wavelet Transformations, both from the side of theoretical investigations and in the context of applications. Draws attention to matrix isomorphisms for hypercomplex algebras.
Автор: Dyke, P. P. G. Название: An Introduction to Laplace transforms and Fourier series ISBN: 1852330155 ISBN-13(EAN): 9781852330156 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This introduction to Laplace transforms and Fourier series is aimed at second year students in applied mathematics. Mathematics students do not usually meet this material until later in their degree course but applied mathematicians and engineers need an early introduction.
"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.
"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: Dyke Phil Название: Introduction to Laplace Transforms and Fourier Series ISBN: 144716394X ISBN-13(EAN): 9781447163947 Издательство: Springer Рейтинг: Цена: 4890.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This advanced undergraduate/graduate textbook provides an easy-to-read account of Fourier series, wavelets and Laplace transforms. It features many worked examples with all solutions provided.
Автор: Komaravolu Chandrasekharan Название: Classical Fourier Transforms ISBN: 3540502483 ISBN-13(EAN): 9783540502487 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In gratefuZ remerribrance of Marston Morse and John von Neumann This text formed the basis of an optional course of lectures I gave in German at the Swiss Federal Institute of Technology (ETH), Zlirich, during the Wintersemester of 1986-87, to undergraduates whose interests were rather mixed, and who were supposed, in general, to be acquainted with only the rudiments of real and complex analysis. The choice of material and the treatment were linked to that supposition. The idea of publishing this originated with Dr. Joachim Heinze of Springer- Verlag. I have, in response, checked the text once more, and added some notes and references. My warm thanks go to Professor Raghavan Narasimhan and to Dr. Albert Stadler, for their helpful and careful scrutiny of the manuscript, which resulted in the removal of some obscurities, and to Springer-Verlag for their courtesy and cooperation. I have to thank Dr. Stadler also for his assistance with the diagrams and with the proof-reading. Zlirich, September, 1987 K. C. Contents Chapter I. Fourier transforms on L (-oo, oo) 1 1. Basic properties and examples -. -----. . --. . -. -. . . -. -. . -. . . . - 1 2. The L 1-algebra --. . . . . . . ----. . --. -. . --. . --. . -. . . --. . . . --. -. . 16 3. Differentiabili ty properties . . . ---. -. -------. . . . ----. -. . . -. 18 4. Localization, Mellin transforms . . . . . . -. -. . . . . . -. . . . . . -. . -. . 25 5. Fourier series and Poisson's summation formula . . . . . . . --. --. . 32 6. The uniqueness theorem . . . . . . . -. . . . . . . . . . . -. . . . -. . . . . . . . . . . .
Автор: F. Oberhettinger Название: Tables of Bessel Transforms ISBN: 3540059970 ISBN-13(EAN): 9783540059974 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This material represents a collection of integral tra- forms involving Bessel (or related) functions as kernel. The following types of inversion formulas have been singled out. k I. g(y) = f (x) (xy) 2J (xy) dx J V 0 k I' . f (x) g (y) (xy) 2J (xy) dy J V 0 II. g(y) f(x) (XY) K (xy)dx J v 0 c]ioo k 1 II'. f (x) = g (y) (xy) 2 Iv (xy) ] I_v(xy)]dy J 27fT c-ioo or also c+ioo k 1 II." f(x) = g (y) (xy) 2Iv (xy) dx J rri oo c-i k III. g(y) f(x) (xy) 2y (xy) dx + J v 0 k III' . f(x) g(y) (xy) "1lv (xy) dy J 0 k IV. g(y) f (x) (xy) "Kv (xy) dx J 0 k g(y) (xy) 2Y (xy)dy IV' - f(x) J v 0 V Preface V. g(y) f(X)Kix(y)dx J 0 -2 -1 sinh (7TX) V'. f(x) 27T x g(y)y Kix(y)dy J 0 21- r( ] - v)r( + + v)]-1 VI. g(y) . J f (x) (xy) s (xy) dx o, v l- -1 VI' . f(x) 2 r ( ] - v) r ( + + v) ] - - J -5 (xy)]dy g(y) (XY) S, v(xy), v 0 xy) ]dX VII. g(y) f(x)\ J 0 0 VII' - f(x) g(y) \ (xy) lz]dy f 0 0 with \ (z) o (For notations and definitions see the appendix of this book. ) The transform VII is also known as the divisor transform.
Автор: Hitzer Eckhard Название: Quaternion and Clifford Fourier Transforms and Wavelets ISBN: 3034806027 ISBN-13(EAN): 9783034806022 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book discusses the state of the art of hypercomplex Fourier and Wavelet Transformations, both from the side of theoretical investigations and in the context of applications. Draws attention to matrix isomorphisms for hypercomplex algebras.
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