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006			m o d |
007			cr cnu||||||||
008			240724s2003 xx o ||||0 eng d
020			_a9780821879092 _q(electronic bk.)
020			_z9780821833209
035			_a(MiAaPQ)EBC3113352
035			_a(Au-PeEL)EBL3113352
035			_a(CaPaEBR)ebr10878807
035			_a(OCoLC)922981126
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA241 -- .I585 2002eb
082	0		_a512/.74
100	1		_aSchikhof, W.H.
245	1	0	_aUltrametric Functional Analysis.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2003.
264		4	_c©2002.
300			_a1 online resource (434 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aContemporary Mathematics ; _vv.319
505	0		_aIntro -- Contents -- Preface -- Non-archimedean integral operators on the space of continuous functions -- Isomorphisms with small bound between spaces of p-adic continuous functions -- Automatic continuity of basis separating maps -- Cauchy theory on Levi-Civita fields -- Uniqueness problems and applications of the ultrametric Nevanlinna theory -- The Hopf algebra structure of the space of continuous functions on power series over Fq and Carlitz polynomials -- Metrizability of compactoid sets in non-archimedean Hausdorff (LM)-spaces -- Strict topologies and vector-measures on non-archimedean spaces -- p-adic spaces with strict topologies as topological algebras -- Non-archimedean stochastic processes -- The asymptotic number of periodic points of discrete polynomial p-adic dynamical systems -- Analysis and probability over infinite extensions of a local field, II: A multiplicative theory -- The Hahn-Banach subspaces of Banach spaces with base -- On metrically universal ultrametric spaces LV┬ and LW┬ -- Gelfand transform and spectral radius formulae for ultrametric Banach algebras -- A theorem on summability factors for regular methods in complete ultrametric fields -- Hilbert-like spaces over Krull valued fields -- Compact operators on non-classical Hilbert spaces -- Locally convex spaces over non-archimedean valued fields -- Finite-dimensional orthocomplemented subspaces in p-adic normed spaces -- Systems of differential equations over valued fields -- Bi-analytic elements and partial isometries of hyperbolic space -- 1. Introduction. -- 2. Preliminaries. -- 3. Hyperbolic Space. -- 4. Distance δ on Cp U HP. -- 5. Geometry of Cp U Hp. -- 6. Partial isometries of Hp. -- 7. Open affinoids and circular filters. -- 8. Rational maps. -- 9. Local isometries induced by rational maps. -- 10. Extension of an analytic element.
505	8		_a11. Composition of analytic elements and bi-analytic elements. -- 12. Global properties of bi-analytic elements. -- 13. Appendix: analytic elements and ends. -- References -- Analytic roots of solutions of p-adic differential equations -- Measure theory and integration on the Levi-Civita field -- On block basic sequences in non-archimedean Fréchet spaces -- Dynamical systems in unramified or totally ramified extensions of the p-adic number field -- p-adic analysis and the calculus of finite differences.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_ap-adic analysis -- Congresses.
655		4	_aElectronic books.
700	1		_aPerez-Garcia, C.
700	1		_aEscassut, A.
776	0	8	_iPrint version: _aSchikhof, W.H. _tUltrametric Functional Analysis _dProvidence : American Mathematical Society,c2003 _z9780821833209
797	2		_aProQuest (Firm)
830		0	_aContemporary Mathematics
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113352 _zClick to View
999			_c68886 _d68886