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Advances in Ultrametric Analysis.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
2018.
|
| Colección: | Contemporary Mathematics Ser.
|
| Temas: |
Number theory
> Algebraic number theory: local and p-adic fields
> Non-Archimedean dynamical systems.
Dynamical systems and ergodic theory
> Arithmetic and non-Archimedean dynamical systems
> Polynomial and rational maps.
Functional analysis
> Other (nonclassical) types of functional analysis
> Functional analysis over fields other than {\bf R} or {\bf C} or the quaternions; non-Archimedean functional analysis.
Functions of a complex variable
> Entire and meromorphic functions, and related topics
> Distribution of values, Nevanlinna theory.
Sequences, series, summability
> Convergence and divergence of infinite limiting processes
> Convergence and divergence of series and sequences of functions.
|
| Acceso en línea: | Texto completo |
MARC
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|---|---|---|---|
| 001 | EBOOKCENTRAL_on1031966783 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
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| 008 | 180421s2018 riu o 000 0 eng d | ||
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| 020 | |a 9781470446765 | ||
| 020 | |a 1470446766 | ||
| 035 | |a (OCoLC)1031966783 | ||
| 050 | 4 | |a QA319 |b .I584 2018 | |
| 082 | 0 | 4 | |a 515/.7 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Escassut, Alain. | |
| 245 | 1 | 0 | |a Advances in Ultrametric Analysis. |
| 260 | |a Providence : |b American Mathematical Society, |c 2018. | ||
| 300 | |a 1 online resource (298 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Contemporary Mathematics Ser. ; |v v. 704 | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Cover; Title page; Contents; Preface; Summary on non-Archimedean valued fields; Introduction.; 1. Ultrametric Spaces.; -- 1.1 The Strong Triangle Inequality and its Consequences.; -- 1.2 Compactness and Separability.; -- 1.3 Ultrametrizability.; -- 1.4 Spherical Completeness.; 2. Valued fields.; -- 2.1 Archimedean and non-Archimedean valuations.; -- 2.2 Completion Theorem.; -- 2.3 Completion of Archimedean valued fields.; -- 2.4 Completion of non-Archimedean valued fields.; -- 2.5 Incompleteness of \QQ and ().; -- 2.6 Compact and Locally compact valued fields.; 3. Ordered fields. | |
| 505 | 8 | |a 3.1 Formally real fields.- 3.2 General Hahn fields and the Embedding theorem.; -- 3.3 Hahn Fields and Levi-Civita fields.; -- 3.4 Real-closed field extensions of \RR.; 4. Algebraic closure of valued fields and their completions.; -- 4.1 General Results.; -- 4.2 Examples.; 5. General valuations.; 6. Maximal, Pseudo and Spherical completeness.; -- 6.1 Pseudo-completeness.; -- 6.2 Spherical completeness.; -- 6.3 Maximal completeness.; 7. Structures of Maximally Complete fields.; -- 7.1 Equal characteristic case.; -- 7.2 Mixed characteristic case.; 8. Catalog of fields.; 9. Classification of fields. | |
| 504 | |a ReferencesNon-compact Trace class operators and Schatten-class operators in-adic Hilbert spaces; 1. Introduction; 2. Background; 3. Schatten-class Operators in Classical Hilbert spaces; 4. Schatten Class operators in-adic Hilbert spaces; 5. Completely Continuous operators and Schatten-class operators; 6. Trace and Schatten-class operators; Acknowledgments; References; Calculus on a non-Archimedean field extension of the real numbers: inverse function theorem, intermediate value theorem and mean value theorem; 1. Introduction; 2. WLUD Functions; 3. Calculus Theorems; References. | ||
| 505 | 8 | |a Adic meromorphic functions ' '(), ' '() sharing a small function, ignoring multiplicity1. Introduction and Main Results; 2. Basic Results; 3. Specific Lemmas; 4. Proof of Theorems; Acknowledgement; References; Spectra of commutative non-unital Banach rings; 1. Introduction, notation and preliminary; 2. Double centalizer algebras and unitalizations; 3. Semi-simplicity; 4. Comparison with the prime spectra; 5. Representations on continuous sections of bundles of Banach algebras; Acknowledgement; References; Ultrametric Calkin algebras; 1. The completely continuous linear operators. | |
| 505 | 8 | |a 2. Ultrametric Calkin algebras3. Ultrametric ultraproducts of Banach spaces; 4. A linear representation of the Calkin algebra when the Banach space is infinite dimensional of countable type; 5. Some additional remarks; References; On summation of -adic series; 1. Introduction; 2. Series and -adic invariant summation in integer points; 3. Functional summation formula and polynomials _{ }^{ }(;); Concluding remarks; Acknowledgements; References; Spectrum of ultrametric Banach algebras of strictly differentiable functions; Introduction and preliminaries; Acknowledgements. | |
| 504 | |a References. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Functional analysis |v Congresses. | |
| 650 | 0 | |a p-adic analysis |v Congresses. | |
| 650 | 6 | |a Analyse fonctionnelle |v Congrès. | |
| 650 | 6 | |a Analyse p-adique |v Congrès. | |
| 650 | 7 | |a Functional analysis |2 fast | |
| 650 | 7 | |a p-adic analysis |2 fast | |
| 650 | 7 | |a Number theory -- Algebraic number theory: local and p-adic fields -- Non-Archimedean dynamical systems. |2 msc | |
| 650 | 7 | |a Dynamical systems and ergodic theory -- Arithmetic and non-Archimedean dynamical systems -- Polynomial and rational maps. |2 msc | |
| 650 | 7 | |a Field theory and polynomials -- Topological fields -- Non-Archimedean valued fields. |2 msc | |
| 650 | 7 | |a Field theory and polynomials -- Topological fields -- Valued fields. |2 msc | |
| 650 | 7 | |a Functional analysis -- Other (nonclassical) types of functional analysis -- Functional analysis over fields other than {\bf R} or {\bf C} or the quaternions; non-Archimedean functional analysis. |2 msc | |
| 650 | 7 | |a Functional analysis -- Topological linear spaces and related structures -- Summability and bases. |2 msc | |
| 650 | 7 | |a Functions of a complex variable -- Entire and meromorphic functions, and related topics -- Distribution of values, Nevanlinna theory. |2 msc | |
| 650 | 7 | |a Sequences, series, summability -- Convergence and divergence of infinite limiting processes -- Convergence and divergence of series and sequences of functions. |2 msc | |
| 650 | 7 | |a Order, lattices, ordered algebraic structures -- Ordered structures -- None of the above, but in this section. |2 msc | |
| 650 | 7 | |a Operator theory -- General theory of linear operators -- (Semi-) Fredholm operators; index theories. |2 msc | |
| 655 | 7 | |a Conference papers and proceedings |2 fast | |
| 700 | 1 | |a Perez-Garcia, Cristina. | |
| 700 | 1 | |a Shamseddine, Khodr. | |
| 776 | 0 | 8 | |i Print version: |a Escassut, Alain. |t Advances in Ultrametric Analysis. |d Providence : American Mathematical Society, ©2018 |z 9781470434915 |
| 830 | 0 | |a Contemporary Mathematics Ser. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5347081 |z Texto completo |
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL5347081 | ||
| 994 | |a 92 |b IZTAP | ||