S. Albeverio, A. Yu Khrennikov, V. M. Shelkovich

Theory of P-Adic Distributions

Linear and Nonlinear Models

• Broschiertes Buch

Produktbeschreibung

Wide-ranging survey of new and important topics in p-adic analysis for researchers and graduate students.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 368
• Erscheinungstermin: 16. Juni 2011
• Englisch
• Abmessung: 229mm x 152mm x 22mm
• Gewicht: 597g
• ISBN-13: 9780521148566
• ISBN-10: 0521148561
• Artikelnr.: 28532974

Autorenporträt

S. Albeverio is Professor in the Faculty of Mathematics and Natural Sciences at the University of Bonn, Germany.

Inhaltsangabe

Preface
1. p-Adic numbers
2. p-Adic functions
3. p-Adic integration theory
4. p-Adic distributions
5. Some results from p-adic L- and L- theories
6. The theory of associated and quasi associated homogeneous p-adic distributions
7. p-Adic Lizorkin spaces of test functions and distributions
8. The theory of p-adic wavelets
9. Pseudo-differential operators on the p-adic Lizorkin spaces
10. Pseudo-differential equations
11. p-Adic Schrödinger-type operator with point interactions
12. Distributional asymptotics and p-adic Tauberian theorems
13. Asymptotics of the p-adic singular Fourier integrals
14. Nonlinear theories of p-adic generalized functions
A. The theory of associated and quasi associated homogeneous real distributions
B. Two identities
C. Proof of a theorem on weak asymptotic expansions
D. One 'natural' way to introduce a measure on Q
References
Index.