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|a 9780821879634
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|a 515
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|a UAMI
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|a Costin, O.
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|a Analyzable Functions and Applications.
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| 260 |
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|a Providence :
|b American Mathematical Society,
|c 2005.
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| 300 |
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|a 1 online resource (384 pages)
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
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|a Contemporary Mathematics ;
|v v. 373
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|a Print version record.
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|a Contents -- Preface -- A singularly perturbed Riccati equation -- On global aspects of exact WKB analysis of operators admitting infinitely many phases -- Asymptotic differential algebra -- Introduction -- 1. Hardy Fields -- 2. The Field of Logarithmic-Exponential Series -- 3. H-Fields and Asymptotic Couples -- 4. Algebraic Differential Equations over H-Fields -- References -- Formally well-posed Cauchy problems for linear partial differential equations with constant coefficients -- Non-oscillating integral curves and O-minimal structures -- 1. Introduction
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|a 2. Definitions and examples2.1 Hardy fields and o-minimal structures -- 2.2 Boshernitzan's example -- 2.3 Quasianalytic Denjoy-Carleman classes -- 3. Euler's equation -- 3.1 Euler's equation in the real plane -- 3.2 Euler's equation in the complex plane -- 3.3 Formal conjugation -- Asymptotics and singularities for a class of difference equations -- Topological construction of transseries and introduction to generalized Borel summability -- 1. Introduction -- 1.1. Abstract multiseries -- 1.2. Topology on multiseries -- 1.3. Contractive operators
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|a 1.4. Inductive construction of logarithm-free transseries1.5. The space T of general transseries -- 2. Equations in T: examples -- 2.1. Multidimensional systems: transseries solutions at irregular singularities of rank one -- 3. Borel summation techniques -- 3.1. Borel summation of transseries: a first order example -- 3.2. Generalized Borel summation for rank one ODEs -- 3.3. Difference equations and PDEs -- 3.4. More general irregular singularities and multisummability -- References -- Addendum to the hyperasymptotics for multidimensional Laplace integrals
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|a Higher-order terms for the de Moivre-Laplace theoremTwisted resurgence monomials and canonical-spherical synthesis of local objects -- 1. Introduction: Object Analysis and Object Synthesis -- 1.1 The notion of Local Analytic Object -- 1.2 Object Analysis: the Bridge Equation -- 1.3 Object Synthesis: semi-formal candidates -- 1.4 Object Synthesis: from semi-formal to effective -- 2. Reminders about moulds, resurgent functions, alien derivations -- 2.1 Moulds/comoulds -- 2.2 Resurgent functions -- 2.3 Alien derivations or automorphisms. Their weights
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|a 2.4 Resurgence monomials3. Object Analysis: six basic examples -- 3.1 Example 1: shift-like diffeomorphism -- 3.2 Example 2: Euler-like differential equation -- 3.3 Example 3: monocritical linear differential system -- 3.4 Example 4: monocritical non-linear differential system -- 3.5 Example 5: polycritical linear differential system -- 3.6 Example 6: polycritical non-linear differential system -- 4. The reverse problem: Object Synthesis -- 4.1 Standard or hyperlogarithmic resurgence monomials and monics -- 4.2 Semi-formal synthesis in Example 1
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| 500 |
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|a ""4.3 Semi-formal synthesis in Example 2""
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| 590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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| 650 |
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0 |
|a Asymptotic expansions
|v Congresses.
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| 650 |
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0 |
|a Functions
|v Congresses.
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| 650 |
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6 |
|a Développements asymptotiques
|v Congrès.
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| 650 |
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6 |
|a Fonctions (Mathématiques)
|v Congrès.
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| 650 |
|
7 |
|a Asymptotic expansions
|2 fast
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| 650 |
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7 |
|a Functions
|2 fast
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| 655 |
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7 |
|a Conference papers and proceedings
|2 fast
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| 700 |
1 |
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|a Kruskal, M. D.
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| 700 |
1 |
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|a Macintyre, A.
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| 758 |
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|i has work:
|a Analyzable functions and applications (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCGGqKfcMTbJcVBQbCv9wwd
|4 https://id.oclc.org/worldcat/ontology/hasWork
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| 776 |
0 |
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|i Print version:
|a Costin, O.
|t Analyzable Functions and Applications.
|d Providence : American Mathematical Society, ©2005
|z 9780821834190
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| 830 |
|
0 |
|a Contemporary Mathematics.
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| 856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3113327
|z Texto completo
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|a BATCHLOAD
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|a ProQuest Ebook Central
|b EBLB
|n EBL3113327
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|a 92
|b IZTAP
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