Language:
English
繁體中文
Help
圖資館首頁
Login
Back
Switch To:
Labeled
|
MARC Mode
|
ISBD
Pseudodifferential equations over no...
~
SpringerLink (Online service)
Pseudodifferential equations over non-Archimedean spaces
Record Type:
Electronic resources : Monograph/item
Title/Author:
Pseudodifferential equations over non-Archimedean spacesby W. A. Zuniga-Galindo.
Author:
Zuniga-Galindo, W. A.
Published:
Cham :Springer International Publishing :2016.
Description:
xvi, 175 p. :ill., digital ;24 cm.
Contained By:
Springer eBooks
Subject:
Pseudodifferential operators.
Online resource:
http://dx.doi.org/10.1007/978-3-319-46738-2
ISBN:
9783319467382$q(electronic bk.)
Pseudodifferential equations over non-Archimedean spaces
Zuniga-Galindo, W. A.
Pseudodifferential equations over non-Archimedean spaces
[electronic resource] /by W. A. Zuniga-Galindo. - Cham :Springer International Publishing :2016. - xvi, 175 p. :ill., digital ;24 cm. - Lecture notes in mathematics,21740075-8434 ;. - Lecture notes in mathematics ;2035..
p-Adic Analysis: Essential Ideas and Results -- Parabolic-type Equations and Markov Processes -- Non-Archimedean Parabolic-type Equations With Variable Coefficients -- Parabolic-Type Equations on Adeles -- Fundamental Solutions and Schrodinger Equations -- Pseudodifferential Equations of Klein-Gordon Type.
Focusing on p-adic and adelic analogues of pseudodifferential equations, this monograph presents a very general theory of parabolic-type equations and their Markov processes motivated by their connection with models of complex hierarchic systems. The Gelfand-Shilov method for constructing fundamental solutions using local zeta functions is developed in a p-adic setting and several particular equations are studied, such as the p-adic analogues of the Klein-Gordon equation. Pseudodifferential equations for complex-valued functions on non-Archimedean local fields are central to contemporary harmonic analysis and mathematical physics and their theory reveals a deep connection with probability and number theory. The results of this book extend and complement the material presented by Vladimirov, Volovich and Zelenov (1994) and Kochubei (2001), which emphasize spectral theory and evolution equations in a single variable, and Albeverio, Khrennikov and Shelkovich (2010), which deals mainly with the theory and applications of p-adic wavelets.
ISBN: 9783319467382$q(electronic bk.)
Standard No.: 10.1007/978-3-319-46738-2doiSubjects--Topical Terms:
247427
Pseudodifferential operators.
LC Class. No.: QA329.7
Dewey Class. No.: 515.7242
Pseudodifferential equations over non-Archimedean spaces
LDR
:02366nmm a2200325 a 4500
001
502517
003
DE-He213
005
20170108114554.0
006
m d
007
cr nn 008maaau
008
170823s2016 gw s 0 eng d
020
$a
9783319467382$q(electronic bk.)
020
$a
9783319467375$q(paper)
024
7
$a
10.1007/978-3-319-46738-2
$2
doi
035
$a
978-3-319-46738-2
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QA329.7
072
7
$a
PBKD
$2
bicssc
072
7
$a
MAT034000
$2
bisacsh
082
0 4
$a
515.7242
$2
23
090
$a
QA329.7
$b
.Z95 2016
100
1
$a
Zuniga-Galindo, W. A.
$3
766761
245
1 0
$a
Pseudodifferential equations over non-Archimedean spaces
$h
[electronic resource] /
$c
by W. A. Zuniga-Galindo.
260
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2016.
300
$a
xvi, 175 p. :
$b
ill., digital ;
$c
24 cm.
490
1
$a
Lecture notes in mathematics,
$x
0075-8434 ;
$v
2174
505
0
$a
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 Schrodinger Equations -- Pseudodifferential Equations of Klein-Gordon Type.
520
$a
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.
650
0
$a
Pseudodifferential operators.
$3
247427
650
0
$a
Markov processes.
$3
181910
650
0
$a
p-adic analysis.
$3
766762
650
0
$a
Differential equations.
$3
183925
650
1 4
$a
Mathematics.
$3
184409
650
2 4
$a
Abstract Harmonic Analysis.
$3
274074
650
2 4
$a
Functional Analysis.
$3
274845
650
2 4
$a
Mathematical Applications in the Physical Sciences.
$3
522718
650
2 4
$a
Number Theory.
$3
274059
650
2 4
$a
Probability Theory and Stochastic Processes.
$3
274061
650
2 4
$a
Mathematical Physics.
$3
522725
710
2
$a
SpringerLink (Online service)
$3
273601
773
0
$t
Springer eBooks
830
0
$a
Lecture notes in mathematics ;
$v
2035.
$3
557764
856
4 0
$u
http://dx.doi.org/10.1007/978-3-319-46738-2
950
$a
Mathematics and Statistics (Springer-11649)
based on 0 review(s)
ALL
電子館藏
Items
1 records • Pages 1 •
1
Inventory Number
Location Name
Item Class
Material type
Call number
Usage Class
Loan Status
No. of reservations
Opac note
Attachments
000000135335
電子館藏
1圖書
電子書
EB QA329.7 Z95 2016
一般使用(Normal)
On shelf
0
1 records • Pages 1 •
1
Multimedia
Multimedia file
http://dx.doi.org/10.1007/978-3-319-46738-2
Reviews
Add a review
and share your thoughts with other readers
Export
pickup library
Processing
...
Change password
Login