Pseudodifferential Equations Over NonArchimedean Spaces
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The work Pseudodifferential Equations Over NonArchimedean Spaces represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Pseudodifferential Equations Over NonArchimedean Spaces
Resource Information
The work Pseudodifferential Equations Over NonArchimedean Spaces represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Pseudodifferential Equations Over NonArchimedean Spaces
 Statement of responsibility
 by W. A. ZúñigaGalindo
 Subject

 Number theory
 Probability Theory and Stochastic Processes
 Number Theory
 Functional analysis
 Mathematical physics
 Probabilities
 Number theory
 Number Theory
 Mathematical physics
 Harmonic analysis
 Functional Analysis
 Abstract Harmonic Analysis
 Harmonic analysis
 Probabilities
 Mathematical Physics
 Electronic resources
 Functional Analysis
 Mathematics
 Mathematical Physics
 Mathematical Applications in the Physical Sciences
 Mathematics
 Functional analysis
 Language
 eng
 Summary
 Focusing on padic and adelic analogues of pseudodifferential equations, this monograph presents a very general theory of parabolictype equations and their Markov processes motivated by their connection with models of complex hierarchic systems. The GelfandShilov method for constructing fundamental solutions using local zeta functions is developed in a padic setting and several particular equations are studied, such as the padic analogues of the KleinGordon equation. Pseudodifferential equations for complexvalued functions on nonArchimedean local fields are central to contemporary harmonic analysis and mathematical physics and their theory reveals a deep connection with probability and number theory. The results of this book extend and complement the material presented by Vladimirov, Volovich and Zelenov (1994) and Kochubei (2001), which emphasize spectral theory and evolution equations in a single variable, and Albeverio, Khrennikov and Shelkovich (2010), which deals mainly with the theory and applications of padic wavelets
 Image bit depth
 0
 LC call number
 QA403403.3
 Literary form
 non fiction
 Series statement
 Lecture Notes in Mathematics,
 Series volume
 2174
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