000 03973nam a22005655i 4500
001 978-94-6239-163-5
003 DE-He213
005 20161006171615.0
007 cr nn 008mamaa
008 151229s2015 fr | s |||| 0|eng d
020 _a9789462391635
_9978-94-6239-163-5
024 7 _a10.2991/978-94-6239-163-5
_2doi
050 4 _aQA403-403.3
072 7 _aPBKD
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515.785
_223
100 1 _aStankovic, Radomir S.
_eauthor.
245 1 0 _aDyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 2 Extensions and Generalizations
_h[electronic 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.
264 1 _aParis :
_bAtlantis Press :
_bImprint: Atlantis Press,
_c2015.
300 _aXVIII, 360 p. 9 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aAtlantis Studies in Mathematics for Engineering and Science,
_x1875-7642 ;
_v13
505 0 _aEarly Work in Gibbs Differentiation in China -- Gibbs-Butzer Calculus and Pseudo-differential Operators on Local Fields -- Early Work in Gibbs Differentiation in Soviet Union – SSSR -- Research in Dyadic Differentiation in Russia -- Generalized Derivatives and Integrals on Vilenkin Groups -- Calculus on Walsh and Vilenkin Groups -- Gibbs Derivatives on Groups -- My Research in Gibbs Derivatives on Finite Groups -- Efficient Computation of Gibbs Derivatives on Finite Abelian Groups -- Gibbs Derivative and Walsh Harmonizable DSP -- My Involvement in Gibbs Derivatives and Walsh Harmonizable Processes -- Open Problems in Theory and Applications of Dyadic Derivatives.
520 _aThe second volume of the two volumes book is dedicated to various extensions and generalizations of Dyadic (Walsh) analysis and related applications. Considered are dyadic derivatives on Vilenkin groups and various other Abelian and finite non-Abelian groups. Since some important results were developed in former Soviet Union and China, we provide overviews of former work in these countries. Further, we present translations of three papers that were initially published in Chinese. The presentation continues with chapters written by experts in the area presenting discussions of applications of these results in specific tasks in the area of signal processing and system theory.  Efficient computing of related differential operators on contemporary hardware, including graphics processing units, is also considered, which makes the methods and techniques of dyadic analysis and generalizations computationally feasible. The volume 2 of the book ends with a chapter presenting open problems pointed out by several experts in the area.
650 0 _aMathematics.
650 0 _aComputer science
_xMathematics.
650 0 _aHarmonic analysis.
650 1 4 _aMathematics.
650 2 4 _aAbstract Harmonic Analysis.
650 2 4 _aMath Applications in Computer Science.
700 1 _aL. Butzer, Paul.
_eauthor.
700 1 _aSchipp, Ferenc.
_eauthor.
700 1 _aWade, William R.
_eauthor.
700 1 _aSu, Weiyi.
_eauthor.
700 1 _aEndow, Yasushi.
_eauthor.
700 1 _aFridli, Sandor.
_eauthor.
700 1 _aGolubov, Boris I.
_eauthor.
700 1 _aPichler, Franz.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9789462391628
830 0 _aAtlantis Studies in Mathematics for Engineering and Science,
_x1875-7642 ;
_v13
856 4 0 _uhttp://dx.doi.org/10.2991/978-94-6239-163-5
912 _aZDB-2-SMA
999 _c227254
_d227254