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The Lévy Laplacian / M.N. Feller.
- Format:
- Book
- Author/Creator:
- Feller, M. N. (Mikhail Naumovich), 1928- author.
- Series:
- Cambridge tracts in mathematics ; 166.
- Cambridge tracts in mathematics ; 166
- Language:
- English
- Subjects (All):
- Laplacian operator.
- Lévy processes.
- Harmonic functions.
- Physical Description:
- 1 online resource (vi, 153 pages) : digital, PDF file(s).
- Place of Publication:
- Cambridge : Cambridge University Press, 2005.
- Language Note:
- English
- Summary:
- 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.
- Contents:
- 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.
- Notes:
- Title from publisher's bibliographic system (viewed on 05 Oct 2015).
- Includes bibliographical references (p. 144-151) and index.
- ISBN:
- 1-107-15226-7
- 9786610416042
- 0-511-20084-6
- 0-511-13280-8
- 0-511-31111-7
- 0-511-54302-6
- 0-511-13226-3
- OCLC:
- 171137634
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