東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Functional analysis and the Feynman ...

Gill, Tepper L.

FindBook

Google Book

Amazon

博客來

Functional analysis and the Feynman operator calculus

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Functional analysis and the Feynman operator calculus/ by Tepper L. Gill, Woodford W. Zachary.
作者:	Gill, Tepper L.
其他作者:	Zachary, Woodford W.
出版者:	Cham :Springer International Publishing : : 2016.,
面頁冊數:	xix, 354 p. :ill., digital ;24 cm.
內容註:	Preliminary Background -- Integration on Infinite-dimensional Spaces -- HK-Integral and HK-Spaces -- Analysis on Hilbert Space -- Operators on Banach Space -- Spaces of von Neumann Type -- The Feynman Operator Calculus -- Applications of the Feynman Calculus.
Contained By:	Springer eBooks
標題:	Functional analysis. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-27595-6
ISBN:	9783319275956

Functional analysis and the Feynman operator calculus
Gill, Tepper L.

Functional analysis and the Feynman operator calculus[electronic resource] /by Tepper L. Gill, Woodford W. Zachary. - Cham :Springer International Publishing :2016. - xix, 354 p. :ill., digital ;24 cm.

Preliminary Background -- Integration on Infinite-dimensional Spaces -- HK-Integral and HK-Spaces -- Analysis on Hilbert Space -- Operators on Banach Space -- Spaces of von Neumann Type -- The Feynman Operator Calculus -- Applications of the Feynman Calculus.

This book provides the mathematical foundations for Feynman's operator calculus and for the Feynman path integral formulation of quantum mechanics as a natural extension of analysis and functional analysis to the infinite-dimensional setting. In one application, the results are used to prove the last two remaining conjectures of Freeman Dyson for quantum electrodynamics. In another application, the results are used to unify methods and weaken domain requirements for non-autonomous evolution equations. Other applications include a general theory of Lebesgue measure on Banach spaces with a Schauder basis and a new approach to the structure theory of operators on uniformly convex Banach spaces. This book is intended for advanced graduate students and researchers.

ISBN: 9783319275956

Standard No.: 10.1007/978-3-319-27595-6doiSubjects--Topical Terms:

531838
Functional analysis.

LC Class. No.: QA320

Dewey Class. No.: 515.7

Functional analysis and the Feynman operator calculus
LDR:01980nmm m2200313 m 4500 001 2032773
003 DE-He213
005 20160922132537.0
006 m d
007 cr nn 008maaau
008 161011s2016 gw s 0 eng d
020 $a 9783319275956 $q (electronic bk.)
020 $a 9783319275932 $q (paper)
024 7 $a 10.1007/978-3-319-27595-6 $2 doi
035 $a 978-3-319-27595-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QA320
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
082 0 4 $a 515.7 $2 23
090 $a QA320 $b .G475 2016
100 1 $a Gill, Tepper L. $3 2186921
245 1 0 $a Functional analysis and the Feynman operator calculus $h [electronic resource] / $c by Tepper L. Gill, Woodford W. Zachary.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a xix, 354 p. : $b ill., digital ; $c 24 cm.
505 0 $a Preliminary Background -- Integration on Infinite-dimensional Spaces -- HK-Integral and HK-Spaces -- Analysis on Hilbert Space -- Operators on Banach Space -- Spaces of von Neumann Type -- The Feynman Operator Calculus -- Applications of the Feynman Calculus.
520 $a This book provides the mathematical foundations for Feynman's operator calculus and for the Feynman path integral formulation of quantum mechanics as a natural extension of analysis and functional analysis to the infinite-dimensional setting. In one application, the results are used to prove the last two remaining conjectures of Freeman Dyson for quantum electrodynamics. In another application, the results are used to unify methods and weaken domain requirements for non-autonomous evolution equations. Other applications include a general theory of Lebesgue measure on Banach spaces with a Schauder basis and a new approach to the structure theory of operators on uniformly convex Banach spaces. This book is intended for advanced graduate students and researchers.
650 0 $a Functional analysis. $3 531838
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Functional Analysis. $3 893943
650 2 4 $a Mathematical Methods in Physics. $3 890898
650 2 4 $a Operator Theory. $3 897311
700 1 $a Zachary, Woodford W. $3 2186922
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-27595-6
950 $a Mathematics and Statistics (Springer-11649)