PalleJorgensen,JamesTian
Infinite-dimensional Analysis: Operators In Hilbert Space; Stochastic Calculus Via Representations, And Duality Theory
Infinite-dimensional Analysis: Operators In Hilbert Space; Stochastic Calculus Via Representations, And Duality Theory
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- More about Infinite-dimensional Analysis: Operators In Hilbert Space; Stochastic Calculus Via Representations, And Duality Theory
This book provides a comprehensive introduction to core areas of analysis, including operators in Hilbert space, algebras of operators, and their spectral theory, with applications to infinite-dimensional and non-commutative analysis and quantum physics.
\n Format: Hardback
\n Length: 252 pages
\n Publication date: 08 February 2021
\n Publisher: World Scientific Publishing Co Pte Ltd
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The aim of this book is to provide essential foundational knowledge to aspiring graduate students and scholars in the fields of pure and applied mathematics. We commence by delving into a comprehensive exploration of selected topics from the realm of operators in Hilbert space, algebras of operators, and their corresponding spectral theory. This systematic presentation encompasses interconnected concepts from infinite-dimensional and non-commutative analysis, with a clear focus on their applications. In Chapter 3, we delve into the study of representations of the canonical commutation relations (CCRs), placing particular emphasis on the requirements of infinite-dimensional calculus of variations, commonly known as Ito and Malliavin calculus. Chapters 4 to 6 further strengthen our understanding by connecting these topics to crucial areas in quantum physics. By presenting these core areas of analysis, this book aims to equip readers with the necessary prerequisites to engage in innovative developments in both pure and applied mathematics.
\n Weight: 518g\n
Dimension: 159 x 236 x 24 (mm)\n
ISBN-13: 9789811225772\n \n
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