Theory of p -adic Distributions: Linear and Nonlinear Models: A p -adic Schrödinger-type operator with point interactions

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 Schrodinger-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.