Albeverio, Sergio, Khrennikov, Andrei Yu, Shelkovich, V.M. 　著

内容

目次

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