國立虎尾科技大學 |

Dyadic Walsh analysis from 1924 onwards Walsh-Gibbs-Butzer dyadic differentiation in science. = a monograph based on articles of the founding authors, reproduced in full /. Volume 2,. Extensions and generalizations

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Dyadic Walsh analysis from 1924 onwards Walsh-Gibbs-Butzer dyadic differentiation in science./ by Radomir S. Stankovic ... [et al.].
Reminder of title:	a monograph based on articles of the founding authors, reproduced in full /
remainder title:	Extensions and generalizations
other author:	Stankovic, Radomir S.
Published:	Paris :Atlantis Press : : 2015.,
Description:	xviii, 360 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Gibbs' equation. -
Online resource:	http://dx.doi.org/10.2991/978-94-6239-163-5
ISBN:	9789462391635

Dyadic Walsh analysis from 1924 onwards Walsh-Gibbs-Butzer dyadic differentiation in science. = a monograph based on articles of the founding authors, reproduced in full /. Volume 2,. Extensions and generalizations
Dyadic Walsh analysis from 1924 onwards Walsh-Gibbs-Butzer dyadic differentiation in science.a monograph based on articles of the founding authors, reproduced in full /Volume 2,Extensions and generalizations[electronic resource] :Extensions and generalizationsby Radomir S. Stankovic ... [et al.]. - Paris :Atlantis Press :2015. - xviii, 360 p. :ill., digital ;24 cm. - Atlantis studies in mathematics for engineering and science,v.131875-7642 ;. - Atlantis studies in mathematics for engineering and science ;v.1..

Early 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.

The 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.

ISBN: 9789462391635

Standard No.: 10.2991/978-94-6239-163-5doiSubjects--Topical Terms:

1070531
Gibbs' equation.

LC Class. No.: QA371

Dewey Class. No.: 515.35

Dyadic Walsh analysis from 1924 onwards Walsh-Gibbs-Butzer dyadic differentiation in science. = a monograph based on articles of the founding authors, reproduced in full /. Volume 2,. Extensions and generalizations
LDR:02965nam a2200337 a 4500 001 839028
003 DE-He213
005 20160513111107.0
006 m d
007 cr nn 008maaau
008 160616s2015 fr s 0 eng d
020 $a 9789462391635 $q (electronic bk.)
020 $a 9789462391628 $q (paper)
024 7 $a 10.2991/978-94-6239-163-5 $2 doi
035 $a 978-94-6239-163-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA371
072 7 $a PBKD $2 bicssc
072 7 $a MAT034000 $2 bisacsh
082 0 4 $a 515.35 $2 23
090 $a QA371 $b .D994 2015
245 0 0 $a Dyadic Walsh analysis from 1924 onwards Walsh-Gibbs-Butzer dyadic differentiation in science. $n Volume 2, $p Extensions and generalizations $h [electronic resource] : $b a monograph based on articles of the founding authors, reproduced in full / $c by Radomir S. Stankovic ... [et al.].
246 3 0 $a Extensions and generalizations
260 $a Paris : $b Atlantis Press : $b Imprint: Atlantis Press, $c 2015.
300 $a xviii, 360 p. : $b ill., digital ; $c 24 cm.
490 1 $a Atlantis studies in mathematics for engineering and science, $x 1875-7642 ; $v v.13
505 0 $a Early 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 $a The 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 $a Gibbs' equation. $3 1070531
650 0 $a Walsh functions. $3 1070532
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Abstract Harmonic Analysis. $3 672075
650 2 4 $a Math Applications in Computer Science. $3 669887
700 1 $a Stankovic, Radomir S. $3 785338
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Atlantis studies in mathematics for engineering and science ; $v v.1. $3 885830
856 4 0 $u http://dx.doi.org/10.2991/978-94-6239-163-5
950 $a Mathematics and Statistics (Springer-11649)