東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Convolution-like structures, differe...

Sousa, Ruben.

FindBook

Google Book

Amazon

博客來

Convolution-like structures, differential operators and diffusion processes

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Convolution-like structures, differential operators and diffusion processes/ by Ruben Sousa, Manuel Guerra, Semyon Yakubovich.
作者:	Sousa, Ruben.
其他作者:	Guerra, Manuel.
出版者:	Cham :Springer International Publishing : : 2022.,
面頁冊數:	xii, 262 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Convolutions (Mathematics) -
電子資源:	https://doi.org/10.1007/978-3-031-05296-5
ISBN:	9783031052965

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 ;v. 2315..

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

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

646444
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 2302738
003 DE-He213
005 20220727210908.0
006 m d
007 cr nn 008maaau
008 230409s2022 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 3603374
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 646444
650 0 $a Differential operators. $3 555718
650 0 $a Diffusion processes. $3 648159
650 1 4 $a Probability Theory. $3 3538789
650 2 4 $a Operator Theory. $3 897311
650 2 4 $a Special Functions. $3 897326
650 2 4 $a Integral Transforms and Operational Calculus. $3 3538804
700 1 $a Guerra, Manuel. $3 3603375
700 1 $a Yakubovich, Semyon. $3 3603376
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Lecture notes in mathematics ; $v v. 2315. $3 3603377
856 4 0 $u https://doi.org/10.1007/978-3-031-05296-5
950 $a Mathematics and Statistics (SpringerNature-11649)