Author: Yasuo Yamasaki
Publisher: World Scientific
ISBN: 9789971978525
Category : Science
Languages : en
Pages : 276
Book Description
This book is based on lectures given at Yale and Kyoto Universities and provides a self-contained detailed exposition of the following subjects: 1) The construction of infinite dimensional measures, 2) Invariance and quasi-invariance of measures under translations. This book furnishes an important tool for the analysis of physical systems with infinite degrees of freedom (such as field theory, statistical physics and field dynamics) by providing material on the foundations of these problems.
Measures on Infinite Dimensional Spaces
Author: Yasuo Yamasaki
Publisher: World Scientific
ISBN: 9789971978525
Category : Science
Languages : en
Pages : 276
Book Description
This book is based on lectures given at Yale and Kyoto Universities and provides a self-contained detailed exposition of the following subjects: 1) The construction of infinite dimensional measures, 2) Invariance and quasi-invariance of measures under translations. This book furnishes an important tool for the analysis of physical systems with infinite degrees of freedom (such as field theory, statistical physics and field dynamics) by providing material on the foundations of these problems.
Publisher: World Scientific
ISBN: 9789971978525
Category : Science
Languages : en
Pages : 276
Book Description
This book is based on lectures given at Yale and Kyoto Universities and provides a self-contained detailed exposition of the following subjects: 1) The construction of infinite dimensional measures, 2) Invariance and quasi-invariance of measures under translations. This book furnishes an important tool for the analysis of physical systems with infinite degrees of freedom (such as field theory, statistical physics and field dynamics) by providing material on the foundations of these problems.
Lecture Note on Measures on Infinite Dimensional Spaces
Author: Yasuo Yamasaki
Publisher:
ISBN:
Category : Generalized spaces
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category : Generalized spaces
Languages : en
Pages :
Book Description
Lectures on Analysis: Infinite dimensional measures and problem solutions
Author: Gustave Choquet
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 384
Book Description
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 384
Book Description
Measures on Infinite Dimensional Spaces
Author: Yasuo Yamasaki
Publisher:
ISBN:
Category : Dimensional analysis
Languages : en
Pages : 251
Book Description
Publisher:
ISBN:
Category : Dimensional analysis
Languages : en
Pages : 251
Book Description
Lectures on Analysis
Measure and Integration Theory on Infinite-Dimensional Spaces
Author:
Publisher: Academic Press
ISBN: 0080873634
Category : Mathematics
Languages : en
Pages : 439
Book Description
Measure and Integration Theory on Infinite-Dimensional Spaces
Publisher: Academic Press
ISBN: 0080873634
Category : Mathematics
Languages : en
Pages : 439
Book Description
Measure and Integration Theory on Infinite-Dimensional Spaces
Stochastic Differential Equations in Infinite Dimensional Spaces
Author: G. Kallianpur
Publisher: IMS
ISBN: 9780940600386
Category : Mathematics
Languages : en
Pages : 356
Book Description
Publisher: IMS
ISBN: 9780940600386
Category : Mathematics
Languages : en
Pages : 356
Book Description
An Introduction to Measure Theory
Author: Terence Tao
Publisher: American Mathematical Soc.
ISBN: 1470466406
Category : Education
Languages : en
Pages : 206
Book Description
This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis. There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text. As a supplementary section, a discussion of general problem-solving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book.
Publisher: American Mathematical Soc.
ISBN: 1470466406
Category : Education
Languages : en
Pages : 206
Book Description
This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis. There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text. As a supplementary section, a discussion of general problem-solving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book.
An Introduction to Infinite-Dimensional Analysis
Author: Giuseppe Da Prato
Publisher: Springer Science & Business Media
ISBN: 3540290214
Category : Mathematics
Languages : en
Pages : 217
Book Description
Based on well-known lectures given at Scuola Normale Superiore in Pisa, this book introduces analysis in a separable Hilbert space of infinite dimension. It starts from the definition of Gaussian measures in Hilbert spaces, concepts such as the Cameron-Martin formula, Brownian motion and Wiener integral are introduced in a simple way. These concepts are then used to illustrate basic stochastic dynamical systems and Markov semi-groups, paying attention to their long-time behavior.
Publisher: Springer Science & Business Media
ISBN: 3540290214
Category : Mathematics
Languages : en
Pages : 217
Book Description
Based on well-known lectures given at Scuola Normale Superiore in Pisa, this book introduces analysis in a separable Hilbert space of infinite dimension. It starts from the definition of Gaussian measures in Hilbert spaces, concepts such as the Cameron-Martin formula, Brownian motion and Wiener integral are introduced in a simple way. These concepts are then used to illustrate basic stochastic dynamical systems and Markov semi-groups, paying attention to their long-time behavior.
Differential Analysis in Infinite Dimensional Spaces
Author: Kondagunta Sundaresan
Publisher: American Mathematical Soc.
ISBN: 9780821854006
Category : Mathematics
Languages : en
Pages : 522
Book Description
Publisher: American Mathematical Soc.
ISBN: 9780821854006
Category : Mathematics
Languages : en
Pages : 522
Book Description