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008 170213s2015 fr | s |||| 0|eng d
020 _a9789462391604
_9978-94-6239-160-4
024 7 _a10.2991/978-94-6239-160-4
_2doi
035 _ato000562760
040 _aSpringer
_cSpringer
_dRU-ToGU
050 4 _aQA403-403.3
072 7 _aPBKD
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515.785
_223
100 1 _aStanković, Radomir S.
_eauthor.
_981175
245 1 0 _aDyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 1 Foundations
_helectronic resource
_bA Monograph Based on Articles of the Founding Authors, Reproduced in Full /
_cby Radomir S. Stankovic, Paul L. Butzer, Ferenc Schipp, William R. Wade, Weiyi Su, Yasushi Endow, Sandor Fridli, Boris I. Golubov, Franz Pichler.
250 _a1st ed. 2015.
260 _aParis :
_bAtlantis Press :
_bImprint: Atlantis Press,
_c2015.
300 _aXXIV, 455 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aAtlantis Studies in Mathematics for Engineering and Science,
_x1875-7642 ;
_v12
505 0 _aEarly 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 Derivative and Walsh-Fourier Transform -- How I started my research in Walsh and dyadic analysis.
520 _aDyadic (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 concerning particular subjects in the area written by experts, most of them being founders of the field, and some of their followers. In this way, this first volume of the two volume book offers a rather complete coverage of the development of dyadic Walsh analysis, and provides a deep insight into its mathematical foundations necessary for consideration of generalizations and applications that are the subject of the second volume. The presented theory is quite sufficient to be a basis for further research in the subject area as well as to be applied in solving certain new problems or improving existing solutions for tasks in the areas which motivated development of the dyadic analysis.
650 0 _amathematics.
_9566183
650 0 _aComputer science
_xMathematics.
_9304486
650 0 _aHarmonic analysis.
_9566357
650 1 4 _aMathematics.
_9566184
650 2 4 _aAbstract Harmonic Analysis.
_9566358
650 2 4 _aMath Applications in Computer Science.
_9303284
700 1 _aL. Butzer, Paul.
_eauthor.
_9471030
700 1 _aSchipp, Ferenc.
_eauthor.
_9471031
700 1 _aWade, William R.
_eauthor.
_9471032
700 1 _aSu, Weiyi.
_eauthor.
_9471033
700 1 _aEndow, Yasushi.
_eauthor.
_9471034
700 1 _aFridli, Sandor.
_eauthor.
_9471035
700 1 _aGolubov, Boris I.
_eauthor.
_9471036
700 1 _aPichler, Franz.
_eauthor.
_9319643
710 2 _aSpringerLink (Online service)
_9143950
773 0 _tSpringer eBooks
830 0 _aAtlantis Studies in Mathematics for Engineering and Science,
_9456083
856 4 0 _uhttp://dx.doi.org/10.2991/978-94-6239-160-4
912 _aZDB-2-SMA
999 _c417406