Theory of p-adic Distributions: Linear and Nonlinear Models

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.