Pseudo-differential equations and stochastics over non-archimedean fields
著者
書誌事項
Pseudo-differential equations and stochastics over non-archimedean fields
(Monographs and textbooks in pure and applied mathematics, 244)
Marcel Dekker, c2001
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注記
Bibliography: p. 303-313
Includes index
内容説明・目次
内容説明
Provides comprehensive coverage of the most recent developments in the theory of non-Archimedean pseudo-differential equations and its application to stochastics and mathematical physics--offering current methods of construction for stochastic processes in the field of p-adic numbers and related structures. Develops a new theory for parabolic equations over non-Archimedean fields in relation to Markov processes.
目次
1. Preliminaries 2. Fundamental Solutions 3. Spectral Theory 4. Parabolic Equations 5. Construction of Processes 6. Analysis over Infinite Extensions of a Local Field 7. Processes with Non-Archimedean Time Parameters
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