Infinite-Dimensional Analysis: Operators in Hilbert Space; Stochastic Calculus Via Representations, and Duality Theory

Jorgensen, Palle; Tian, James

ISBN 10: 981122577X ISBN 13: 9789811225772

Published by World Scientific Pub Co Inc, 2021

Language: English

Condition: New Hardcover

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Bibliographic Details

Title

Infinite-Dimensional Analysis: Operators in Hilbert Space; Stochastic Calculus Via Representations, and Duality Theory

Publisher

World Scientific Pub Co Inc

Publication Date

2021

Language

English

ISBN 10

981122577X

ISBN 13

9789811225772

Binding

Hardcover

Condition

New

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Synopsis

The purpose of this book is to make available to beginning graduate students, and to others, some core areas of analysis which serve as prerequisites for new developments in pure and applied areas. We begin with a presentation (Chapters 1 and 2) of a selection of topics from the theory of operators in Hilbert space, algebras of operators, and their corresponding spectral theory. This is a systematic presentation of interrelated topics from infinite-dimensional and non-commutative analysis; again, with view to applications. Chapter 3 covers a study of representations of the canonical commutation relations (CCRs); with emphasis on the requirements of infinite-dimensional calculus of variations, often referred to as Ito and Malliavin calculus, Chapters 4-6. This further connects to key areas in quantum physics.

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