國立高雄大學圖資館 |

Language: English

Back

Convolution-like structures, differential operators and diffusion processes

Record Type:	Electronic resources : Monograph/item
Title/Author:	Convolution-like structures, differential operators and diffusion processesby Ruben Sousa, Manuel Guerra, Semyon Yakubovich.
Author:	Sousa, Ruben.
other author:	Guerra, Manuel.
Published:	Cham :Springer International Publishing :2022.
Description:	xii, 262 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Convolutions (Mathematics)
Online resource:	https://doi.org/10.1007/978-3-031-05296-5
ISBN:	9783031052965$q(electronic bk.)

Convolution-like structures, differential operators and diffusion processes
Sousa, Ruben.

Convolution-like structures, differential operators and diffusion processes[electronic resource] /by Ruben Sousa, Manuel Guerra, Semyon Yakubovich. - Cham :Springer International Publishing :2022. - xii, 262 p. :ill., digital ;24 cm. - Lecture notes in mathematics,v. 23151617-9692 ;. - Lecture notes in mathematics ;2035..

This book provides an introduction to recent developments in the theory of generalized harmonic analysis and its applications. It is well known that convolutions, differential operators and diffusion processes are interconnected: the ordinary convolution commutes with the Laplacian, and the law of Brownian motion has a convolution semigroup property with respect to the ordinary convolution. Seeking to generalize this useful connection, and also motivated by its probabilistic applications, the book focuses on the following question: given a diffusion process Xt on a metric space E, can we construct a convolution-like operator * on the space of probability measures on E with respect to which the law of Xt has the *-convolution semigroup property? A detailed analysis highlights the connection between the construction of convolution-like structures and disciplines such as stochastic processes, ordinary and partial differential equations, spectral theory, special functions and integral transforms. The book will be valuable for graduate students and researchers interested in the intersections between harmonic analysis, probability theory and differential equations.

ISBN: 9783031052965$q(electronic bk.)

Standard No.: 10.1007/978-3-031-05296-5doiSubjects--Topical Terms:

246604
Convolutions (Mathematics)

LC Class. No.: QA601 / .S68 2022

Dewey Class. No.: 515.43

Convolution-like structures, differential operators and diffusion processes
LDR:02316nmm a2200349 a 4500 001 627856
003 DE-He213
005 20220727210908.0
006 m d
007 cr nn 008maaau
008 230201s2022 sz s 0 eng d
020 $a 9783031052965$q(electronic bk.)
020 $a 9783031052958$q(paper)
024 7 $a 10.1007/978-3-031-05296-5 $2 doi
035 $a 978-3-031-05296-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA601 $b .S68 2022
072 7 $a PBT $2 bicssc
072 7 $a PBWL $2 bicssc
072 7 $a MAT029000 $2 bisacsh
072 7 $a PBT $2 thema
072 7 $a PBWL $2 thema
082 0 4 $a 515.43 $2 23
090 $a QA601 $b .S725 2022
100 1 $a Sousa, Ruben. $3 932056
245 1 0 $a Convolution-like structures, differential operators and diffusion processes $h [electronic resource] / $c by Ruben Sousa, Manuel Guerra, Semyon Yakubovich.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a xii, 262 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 1617-9692 ; $v v. 2315
520 $a This book provides an introduction to recent developments in the theory of generalized harmonic analysis and its applications. It is well known that convolutions, differential operators and diffusion processes are interconnected: the ordinary convolution commutes with the Laplacian, and the law of Brownian motion has a convolution semigroup property with respect to the ordinary convolution. Seeking to generalize this useful connection, and also motivated by its probabilistic applications, the book focuses on the following question: given a diffusion process Xt on a metric space E, can we construct a convolution-like operator * on the space of probability measures on E with respect to which the law of Xt has the *-convolution semigroup property? A detailed analysis highlights the connection between the construction of convolution-like structures and disciplines such as stochastic processes, ordinary and partial differential equations, spectral theory, special functions and integral transforms. The book will be valuable for graduate students and researchers interested in the intersections between harmonic analysis, probability theory and differential equations.
650 0 $a Convolutions (Mathematics) $3 246604
650 0 $a Differential operators. $3 185325
650 0 $a Diffusion processes. $3 186291
650 1 4 $a Probability Theory. $3 913371
650 2 4 $a Operator Theory. $3 274795
650 2 4 $a Special Functions. $3 274846
650 2 4 $a Integral Transforms and Operational Calculus. $3 913382
700 1 $a Guerra, Manuel. $3 932057
700 1 $a Yakubovich, Semyon. $3 932058
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Lecture notes in mathematics ; $v 2035. $3 557764
856 4 0 $u https://doi.org/10.1007/978-3-031-05296-5
950 $a Mathematics and Statistics (SpringerNature-11649)