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The Lévy Laplacian /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/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:	Harmonic functions. -
電子資源:	https://doi.org/10.1017/CBO9780511543029
ISBN:	9780511543029 (ebook)

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 ;203..

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:

787490
Harmonic functions.

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

Dewey Class. No.: 515/.7242

The Lévy Laplacian /
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500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a 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.
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 Harmonic functions. $3 787490
650 0 $a Lévy processes. $3 1405890
650 0 $a Laplacian operator. $3 685995
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856 4 0 $u https://doi.org/10.1017/CBO9780511543029