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Infinite-dimensional analysis : = op...

Jørgensen, Palle E. T., (1947-)

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Infinite-dimensional analysis : = operators in Hilbert space ;stochastic calculus via representations, and duality theory /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Infinite-dimensional analysis :/ Palle Jorgensen, James Tian.
其他題名:	operators in Hilbert space ;stochastic calculus via representations, and duality theory /
作者:	Jørgensen, Palle E. T.,
其他作者:	Tian, James F.,
出版者:	New Jersey :World Scientific, : c2021.,
面頁冊數:	xvii, 234 p. :ill. ;24 cm.
標題:	Functional analysis. -
ISBN:	9789811225772

Infinite-dimensional analysis : = operators in Hilbert space ;stochastic calculus via representations, and duality theory /
Jørgensen, Palle E. T.,1947-

Infinite-dimensional analysis :operators in Hilbert space ;stochastic calculus via representations, and duality theory /Palle Jorgensen, James Tian. - New Jersey :World Scientific,c2021. - xvii, 234 p. :ill. ;24 cm.

Includes bibliographical references and index.

"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 theoryof operators in Hilbert space, algebras of operators, and theircorresponding spectral theory. This is a systematic presentation ofinterrelated topics from infinite-dimensional and non-commutative analysis;again, with view to applications. Chapter 3 covers a study ofrepresentations of the canonical commutation relations (CCRs); with emphasison 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"--

ISBN: 9789811225772US88

LCCN: 2020041084Subjects--Topical Terms:

531838
Functional analysis.

LC Class. No.: QA320 / .J637 2021

Dewey Class. No.: 515/.7

Infinite-dimensional analysis : = operators in Hilbert space ;stochastic calculus via representations, and duality theory /
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100 1 $a Jørgensen, Palle E. T., $d 1947- $e author. $3 3565389
245 1 0 $a Infinite-dimensional analysis : $b operators in Hilbert space ;stochastic calculus via representations, and duality theory / $c Palle Jorgensen, James Tian.
260 # $a New Jersey : $b World Scientific, $c c2021.
300 $a xvii, 234 p. : $b ill. ; $c 24 cm.
504 $a Includes bibliographical references and index.
520 # $a "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 theoryof operators in Hilbert space, algebras of operators, and theircorresponding spectral theory. This is a systematic presentation ofinterrelated topics from infinite-dimensional and non-commutative analysis;again, with view to applications. Chapter 3 covers a study ofrepresentations of the canonical commutation relations (CCRs); with emphasison 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"-- $c Provided by publisher.
650 # 0 $a Functional analysis. $3 531838
650 # 0 $a Hilbert space. $3 558371
650 # 0 $a Stochastic analysis. $3 533923
700 1 # $a Tian, James F., $e author. $3 3565390