P-Adic Functional Analysis, Vol. 192 Book

	Preface
	Contributors
1	Strict Locally Convex Topologies on BC(X,K)	1
2	Zero-Dimensional Pseudocompact and Ultraparacompact Spaces	11
3	Isometries in Spaces of Nonarchimedean Continuous Functions	19
4	Isometrics Between Valued Fields	29
5	Closed Homomorphisms of Algebras of Analytic Elements	39
6	On Some p-adic Functional Equations	49
7	Complete Ultrametric Hopf Algebras Which Are Free Banach Spaces	61
8	p-adic Characters on the Restricted Power Series	81
9	On Some p-adic Series with Factorials	95
10	Non-Archimedean Harmonic Analysis on Topological Semigroups, II	107
11	Analytic Properties of Functions Represented by p-adic Integration	115
12	Characterial Functions	131
13	Nonlinear Differential Equations Over the Field of the Complex p-adic Numbers	143
14	On Some Non Archimedean Closed Graph Theorems	153
15	p-adic Locally Convex Inductive Limits	159
16	Some Conjectures Concerning Partial Sums of Generalized Hypergeometric Series	223
17	On Non-Archimedean Weighted Spaces of Continuous Functions	237
18	An Algebra of Self-Adjoint Operators on a Non-Archimedean Orthomodular Space	253
19	Residual Spaces and Operators on Orthomodular Spaces	265
20	Additive and Multiplicative Fractional Differentiations Over the Field of p-adic Numbers	275
21	Algebras of Abstract Analytic Elements	281
22	Some Tauberian Theorems in Non-Archimedean Fields	297
23	Locally Convex Modules Over the Unit Disk	305
24	Uniform Approximation of Functions with Values in Topological Rings	327
25	p-adic Almost Periodicity and Representations II	339
26	Euclidean Models of p-adic Spaces	349
27	Analytic Functions That Are p-th Roots of Rational Functions	363
28	Approximation Lattices of p-adic Numbers	375
29	Adelic Formulas for Gamma- and Beta-Functions in Algebraic Number Fields	383
	Index	397