Name: Convolution-Like Structures, Differential Operators and Diffusion Processes (en Inglés)
Price: 53.48 USD
Availability: InStock
Author: Sousa, Rúben ; Guerra, Manuel ; Yakubovich, Semyon
ISBN: 9783031052958

portada Convolution-Like Structures, Differential Operators and Diffusion Processes (en Inglés)

Convolution-Like Structures, Differential Operators and Diffusion Processes (en Inglés)

Formato

Libro Físico

Autor

Editorial

Idioma

Inglés

N° páginas

262

Encuadernación

Tapa Blanda

Dimensiones

23.4 x 15.6 x 1.5 cm

Peso

0.39 kg.

ISBN13

9783031052958

N° edición

Categorías

Análisis funcional y transformaciones
Probabilidad y estadística

Convolution-Like Structures, Differential Operators and Diffusion Processes (en Inglés)

Manuel Guerra (Autor) · Rúben Sousa (Autor) · Semyon Yakubovich (Autor) · Springer · Tapa Blanda

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Reseña del libro "Convolution-Like Structures, Differential Operators and Diffusion Processes (en Inglés)"

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.