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The Lévy Laplacian /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515/.7242
書名/作者:	The Lévy Laplacian // M.N. Feller.
作者:	Feller, M. N.
面頁冊數:	1 online resource (vi, 153 pages) : : digital, PDF file(s).
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Lévy processes.
標題:	Harmonic functions.
標題:	Laplacian operator.
ISBN:	9780511543029 (ebook)
內容註:	The Lévy Laplacian -- Lévy-Laplace operators -- Symmetric Lévy-Laplace operator -- Harmonic functions of infinitely many variables -- Linear elliptic and parabolic equations with Lévy Laplacians -- Quasilinear and nonlinear elliptic equation with Lévy Laplacians -- Nonlinear parabolic equations with Lévy Laplacians.
摘要、提要註:	The Lévy Laplacian is an infinite-dimensional generalization of the well-known classical Laplacian. The theory has become well developed in recent years and this book was the first systematic treatment of the Lévy–Laplace operator. The book describes the infinite-dimensional analogues of finite-dimensional results, and more especially those features which appear only in the generalized context. It develops a theory of operators generated by the Lévy Laplacian and the symmetrized Lévy Laplacian, as well as a theory of linear and nonlinear equations involving it. There are many problems leading to equations with Lévy Laplacians and to Lévy–Laplace operators, for example superconductivity theory, the theory of control systems, the Gauss random field theory, and the Yang–Mills equation. The book is complemented by an exhaustive bibliography. The result is a work that will be valued by those working in functional analysis, partial differential equations and probability theory.
電子資源:	http://dx.doi.org/10.1017/CBO9780511543029

The Lévy Laplacian /
Feller, M. N.1928-

The Lévy Laplacian /M.N. Feller. - 1 online resource (vi, 153 pages) :digital, PDF file(s). - Cambridge tracts in mathematics ;166. - Cambridge tracts in mathematics ;169..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

The Lévy Laplacian -- Lévy-Laplace operators -- Symmetric Lévy-Laplace operator -- Harmonic functions of infinitely many variables -- Linear elliptic and parabolic equations with Lévy Laplacians -- Quasilinear and nonlinear elliptic equation with Lévy Laplacians -- Nonlinear parabolic equations with Lévy Laplacians.

The Lévy Laplacian is an infinite-dimensional generalization of the well-known classical Laplacian. The theory has become well developed in recent years and this book was the first systematic treatment of the Lévy–Laplace operator. The book describes the infinite-dimensional analogues of finite-dimensional results, and more especially those features which appear only in the generalized context. It develops a theory of operators generated by the Lévy Laplacian and the symmetrized Lévy Laplacian, as well as a theory of linear and nonlinear equations involving it. There are many problems leading to equations with Lévy Laplacians and to Lévy–Laplace operators, for example superconductivity theory, the theory of control systems, the Gauss random field theory, and the Yang–Mills equation. The book is complemented by an exhaustive bibliography. The result is a work that will be valued by those working in functional analysis, partial differential equations and probability theory.

ISBN: 9780511543029 (ebook)Subjects--Topical Terms:

642493
Lévy processes.

LC Class. No.: QC20.7.D5 / F45 2005

Dewey Class. No.: 515/.7242

The Lévy Laplacian /
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520 $a The Lévy Laplacian is an infinite-dimensional generalization of the well-known classical Laplacian. The theory has become well developed in recent years and this book was the first systematic treatment of the Lévy–Laplace operator. The book describes the infinite-dimensional analogues of finite-dimensional results, and more especially those features which appear only in the generalized context. It develops a theory of operators generated by the Lévy Laplacian and the symmetrized Lévy Laplacian, as well as a theory of linear and nonlinear equations involving it. There are many problems leading to equations with Lévy Laplacians and to Lévy–Laplace operators, for example superconductivity theory, the theory of control systems, the Gauss random field theory, and the Yang–Mills equation. The book is complemented by an exhaustive bibliography. The result is a work that will be valued by those working in functional analysis, partial differential equations and probability theory.
650 0 $a Lévy processes. $3 642493
650 0 $a Harmonic functions. $3 636378
650 0 $a Laplacian operator. $3 495758
776 0 8 $i Print version: $z 9780521846226
830 0 $a Cambridge tracts in mathematics ; $v 169. $3 642585
856 4 0 $u http://dx.doi.org/10.1017/CBO9780511543029