Infinite-dimensional Analysis: Operators In Hilbert Space; Stochastic Calculus Via Representations, And Duality Theory
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A01=James Tian
A01=Palle Jorgensen
Author_James Tian
Author_Palle Jorgensen
Bochner-Minlos
BochnerAcAEURA"Minlos
Bochner–Minlos
Brownian Motion
Category=PBKF
Commutation Relations
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Gelfand Triple
Gelfand-Naimark-Segal
GelfandAcAEURA"NaimarkAcAEURA"Segal
Gelfand–Naimark–Segal
Generating Function
GNS
Graph Laplacian
Greens Function
ItAfA' Calculus
ItAfA' Integral
Ito Calculus
Ito Integral
Itô Calculus
Itô Integral
Karhunen-loeve
KarhunenAcAEURA"loAfA?ve
Karhunen–loève
Kernel Hilbert Space
Kolmogorov Construction
Machine Learning
Malliavin
Malliavin Derivative
Markov Process
Martingale
Network Models
Operators in Hilbert Space
Representations
Reproducing Kernel
Reversible
Stochastic Calculus
Transition Probabilities
Product details
- ISBN 9789811225772
- Publication Date: 08 Feb 2021
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
