Dyadic Walsh analysis from 1924 onwards Walsh-Gibbs-Butzer dyadic differentiation in science. Volume 1, Foundations : a monograph based on articles of the founding authors, reproduced in full /
Dyadic (Walsh) analysis emerged as a new research area in applied mathematics and engineering in early seventies within attempts to provide answers to demands from practice related to application of spectral analysis of different classes of signals, including audio, video, sonar, and radar signals....
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Group Author: | ; ; ; ; |
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Published: |
Atlantis Press,
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Publisher Address: | [Paris] : |
Publication Dates: | [2015] |
Literature type: | Book |
Language: | English |
Series: |
Atlantis Studies in Mathematics for Engineering and Science,
volume 12 |
Subjects: | |
Summary: |
Dyadic (Walsh) analysis emerged as a new research area in applied mathematics and engineering in early seventies within attempts to provide answers to demands from practice related to application of spectral analysis of different classes of signals, including audio, video, sonar, and radar signals. In the meantime, it evolved in a mature mathematical discipline with fundamental results and important features providing basis for various applications. The book will provide fundamentals of the area through reprinting carefully selected earlier publications followed by overview of recent results |
Carrier Form: | xxiv, 455 pages : illustrations (some color) ; 24 cm. |
Bibliography: | Includes bibliographical references and index. |
ISBN: |
9789462391598 9462391599 9789462391604 9462391602 |
Index Number: | QA371 |
CLC: | O174 |
Call Number: | O174/D994 |
Contents: | Early History of Walsh Analysis -- My involvement in Walsh and Dyadic Analysis -- The Origins of the Dyadic Derivative due to James Edmund Gibbs -- Early Contributions from the Aachen School to Dyadic Walsh Analysis with Applications to Dyadic PDEs and Approximation Theory -- Dyadic Derivative, Summation, Approximation -- How I Started My Research in Walsh and Dyadic Analysis -- My Involvement with the Dyadic Derivative -- Hardy Spaces in the Theory of Dyadic Derivative -- Term by Term Dyadic Differentiation of Walsh Series -- Why I got Interested in Dyadic Differentiation -- Dyadic Derivati |