國立虎尾科技大學 |

Functions of Bounded Variation and Their Fourier Transforms

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Functions of Bounded Variation and Their Fourier Transforms/ by Elijah Liflyand.
Author:	Liflyand, Elijah.
Description:	XXIV, 194 p.online resource. :
Contained By:	Springer Nature eBook
Subject:	Harmonic analysis. -
Online resource:	https://doi.org/10.1007/978-3-030-04429-9
ISBN:	9783030044299

Functions of Bounded Variation and Their Fourier Transforms
Liflyand, Elijah.

Functions of Bounded Variation and Their Fourier Transforms[electronic resource] /by Elijah Liflyand. - 1st ed. 2019. - XXIV, 194 p.online resource. - Applied and Numerical Harmonic Analysis,2296-5009. - Applied and Numerical Harmonic Analysis,.

Stock and tools -- Functions with derivative in a Hardy space -- Integrability spaces: wide, wider and widest -- Sharper results -- Stock and tools for several dimensions -- Integrability of the Fourier transforms -- Sharp results -- Bounded variation and discretization -- Multidimensional case: radial functions.

Functions of bounded variation represent an important class of functions. Studying their Fourier transforms is a valuable means of revealing their analytic properties. Moreover, it brings to light new interrelations between these functions and the real Hardy space and, correspondingly, between the Fourier transform and the Hilbert transform. This book is divided into two major parts, the first of which addresses several aspects of the behavior of the Fourier transform of a function of bounded variation in dimension one. In turn, the second part examines the Fourier transforms of multivariate functions with bounded Hardy variation. The results obtained are subsequently applicable to problems in approximation theory, summability of the Fourier series and integrability of trigonometric series. .

ISBN: 9783030044299

Standard No.: 10.1007/978-3-030-04429-9doiSubjects--Topical Terms:

672073
Harmonic analysis.

LC Class. No.: QA403-403.3

Dewey Class. No.: 515.785

Functions of Bounded Variation and Their Fourier Transforms
LDR:02484nam a22003975i 4500 001 1012198
003 DE-He213
005 20200702034617.0
007 cr nn 008mamaa
008 210106s2019 gw | s |||| 0|eng d
020 $a 9783030044299 $9 978-3-030-04429-9
024 7 $a 10.1007/978-3-030-04429-9 $2 doi
035 $a 978-3-030-04429-9
050 4 $a QA403-403.3
072 7 $a PBKD $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKD $2 thema
082 0 4 $a 515.785 $2 23
100 1 $a Liflyand, Elijah. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1306470
245 1 0 $a Functions of Bounded Variation and Their Fourier Transforms $h [electronic resource] / $c by Elijah Liflyand.
250 $a 1st ed. 2019.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Birkhäuser, $c 2019.
300 $a XXIV, 194 p. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Applied and Numerical Harmonic Analysis, $x 2296-5009
505 0 $a Stock and tools -- Functions with derivative in a Hardy space -- Integrability spaces: wide, wider and widest -- Sharper results -- Stock and tools for several dimensions -- Integrability of the Fourier transforms -- Sharp results -- Bounded variation and discretization -- Multidimensional case: radial functions.
520 $a Functions of bounded variation represent an important class of functions. Studying their Fourier transforms is a valuable means of revealing their analytic properties. Moreover, it brings to light new interrelations between these functions and the real Hardy space and, correspondingly, between the Fourier transform and the Hilbert transform. This book is divided into two major parts, the first of which addresses several aspects of the behavior of the Fourier transform of a function of bounded variation in dimension one. In turn, the second part examines the Fourier transforms of multivariate functions with bounded Hardy variation. The results obtained are subsequently applicable to problems in approximation theory, summability of the Fourier series and integrability of trigonometric series. .
650 0 $a Harmonic analysis. $3 672073
650 1 4 $a Abstract Harmonic Analysis. $3 672075
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030044282
776 0 8 $i Printed edition: $z 9783030044305
830 0 $a Applied and Numerical Harmonic Analysis, $x 2296-5009 $3 1254485
856 4 0 $u https://doi.org/10.1007/978-3-030-04429-9
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)