Coverart for item
The Resource Pseudodifferential equations over non-Archimedean spaces, W. A. Zúñiga-Galindo

Pseudodifferential equations over non-Archimedean spaces, W. A. Zúñiga-Galindo

Label
Pseudodifferential equations over non-Archimedean spaces
Title
Pseudodifferential equations over non-Archimedean spaces
Statement of responsibility
W. A. Zúñiga-Galindo
Creator
Author
Subject
Language
eng
Summary
Focusing on p-adic and adelic analogues of pseudodifferential equations, this monograph presents a very general theory of parabolic-type equations and their Markov processes motivated by their connection with models of complex hierarchic systems. The Gelfand-Shilov method for constructing fundamental solutions using local zeta functions is developed in a p-adic setting and several particular equations are studied, such as the p-adic analogues of the Klein-Gordon equation. Pseudodifferential equations for complex-valued functions on non-Archimedean 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 p-adic wavelets
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Zúñiga-Galindo, W. A
Dewey number
515/.7242
Illustrations
illustrations
Index
no index present
LC call number
QA329.7
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Lecture notes in mathematics,
Series volume
2174
http://library.link/vocab/subjectName
  • Pseudodifferential operators
  • Markov processes
  • p-adic analysis
  • Differential equations
Label
Pseudodifferential equations over non-Archimedean spaces, W. A. Zúñiga-Galindo
Instantiates
Publication
Antecedent source
unknown
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
P-Adic Analysis: Essential Ideas and Results -- Parabolic-type Equations and Markov Processes -- Non-Archimedean Parabolic-type Equations With Variable Coefficients -- Parabolic-Type Equations on Adeles -- Fundamental Solutions and Schrödinger Equations -- Pseudodifferential Equations of Klein-Gordon Type
Dimensions
unknown
Extent
1 online resource (xvi, 175 pages)
File format
unknown
Form of item
online
Isbn
9783319467382
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-46738-2
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
ocn969343507
Label
Pseudodifferential equations over non-Archimedean spaces, W. A. Zúñiga-Galindo
Publication
Antecedent source
unknown
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
P-Adic Analysis: Essential Ideas and Results -- Parabolic-type Equations and Markov Processes -- Non-Archimedean Parabolic-type Equations With Variable Coefficients -- Parabolic-Type Equations on Adeles -- Fundamental Solutions and Schrödinger Equations -- Pseudodifferential Equations of Klein-Gordon Type
Dimensions
unknown
Extent
1 online resource (xvi, 175 pages)
File format
unknown
Form of item
online
Isbn
9783319467382
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-46738-2
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
ocn969343507

Library Locations

Processing Feedback ...