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The Lévy Laplacian: Cambridge Tracts in Mathematics, cartea 166

Autor M. N. Feller
en Limba Engleză Paperback – 16 feb 2011
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.
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Specificații

ISBN-13: 9780521183840
ISBN-10: 0521183847
Pagini: 160
Dimensiuni: 152 x 229 x 9 mm
Greutate: 0.25 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Tracts in Mathematics

Locul publicării:Cambridge, United Kingdom

Cuprins

Introduction; 1. The Lévy Laplacian; 2. Lévy–Laplace operators; 3. Symmetric Lévy–Laplace operators; 4. Harmonic functions of infinitely many variables; 5. Linear elliptic and parabolic equations with Lévy Laplacians; 6. Quasilinear and nonlinear elliptic equation with Lévy Laplacians; 7. Nonlinear parabolic equations with Lévy Laplacians; 8. Appendix. Lévy–Dirichlet forms and associated Markov processes; Bibliography; Index.

Recenzii

Review of the hardback: '... a nicely written book ...' Zentralblatt MATH

Descriere

This text was the first book on the Lévy Laplacian that generalized classical work and could be widely applied.