Cover; Half-title; Series-title; Title; Copyright; Contents; Introduction; 1 The Lévy Laplacian; 2 Lévy-Laplace operators; 3 Symmetric Lévy-Laplace operator; 4 Harmonic functions of infinitely many variables; 5 Linear elliptic and parabolic equations with Lévy Laplacians; 6 Quasilinear and nonlinear elliptic equations with Lévy Laplacians; 7 Nonlinear parabolic equations with Lévy Laplacians; Appendix Lévy-Dirichlet forms and associated Markov processes; Bibliographic notes; References; Index
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 is the first systematic treatment. With an extensive bibliography, the work will be valued by those working in functional analysis, partial differential equations and probability theory
Bibliography
Includes bibliographical references (pages 144-151) and index
