Continual means and boundary value problems in functional spaces (Google eBook)

Front Cover
Springer Science & Business Media, Nov 1, 1988 - Juvenile Nonfiction - 160 pages
0 Reviews
The fates of important mathematical ideas are varied. Sometimes they are instantly appreciated by the specialists and constitute the foundation of the development of theories or methods. It also happens, however, that even ideas uttered by distinguished mathematicians are surrounded with respectful indifference for a long time, and every effort of inter preters and successors has to be made in order to gain for them the merit deserved. It is the second case that is encountered in the present book, the author of which, the Leningrad mathematician E.M. Polishchuk, reconstructs and develops one of the dir.ctions in functional analysis that originated from Hadamard and Gateaux and was newly thought over and taken as the basis of a prospective theory by Paul Levy. Paul Levy, Member of the French Academy of Sciences, whose centenary of his birthday was celebrated in 1986, was one of the most original mathe matiCians of the second half of the 20th century. He could not complain about a lack of attention to his ideas and results. Together with A.N. Kolmogorov, A.Ya. Khinchin and William Feller, he is indeed one of the acknowledged founders of the theory of random processes. In the proba bility theory and, to a lesser degree, in functional analysis his work is well-known for its conceptualization and scope of the problems posed.
  

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

INTRODUCTION
9
Function domains
15
The functional Laplace operator
33
THE LAPLACE AND POISSON EQUATIONS FOR A NORMAL DOMAIN
41
solutions of classical boundary value problems Applications
70
THE FUNCTIONAL LAPLACE OPERATOR AND CLASSICAL DIFFUSION
85
Boundary value problems for uniform domains
99
Harmonic control systems
114
GENERAL ELLIPTIC FUNCTIONAL OPERATORS ON FUNCTIONAL RINGS
131
The generalized functional Poisson equation
149
REFERENCES
156
Copyright

Common terms and phrases

References to this book

The LÚvy Laplacian
M. N. Feller
Limited preview - 2005
All Book Search results »

Bibliographic information