منابع مشابه
Grothendieck's Existence Theorem in Analytic Geometry and Related Results
We state and prove several kinds of analytification theorems of formal objects (such as coherent sheaves and formal complex spaces) which are in the spirit of Grothendieck's algebraization theorem in [EGA, III]. The formulation of the results was derived from deformation theory and especially M. Artin's work on representability of functors. The methods of proof depend heavily on a deeper study ...
متن کاملA Theorem on Analytic Strong Multiplicity One
Let K be an algebraic number field, and π = ⊗πv an irreducible, automorphic, cuspidal representation of GLm(AK) with analytic conductor C(π). The theorem on analytic strong multiplicity one established in this note states, essentially, that there exists a positive constant c depending on ε > 0,m, and K only, such that π can be decided completely by its local components πv with norm N(v) < c · C...
متن کاملLecture Notes on Local Analytic Geometry
The aim of the CIMPA-ICTP-UNESCO-MESR-MICINN-PAKISTAN Research School on Local Analytic Geometry at Abdus Salam School of Mathematical Sciences, GC University Lahore, Pakistan (organized by A. D. Choudary, Alexandru Dimca and Gerhard Pfister) was to introduce the participants to local analytic geometry and related topics. A basis of the course was the book entitled Local Analytic Geometry (cf. ...
متن کاملArnold’s theorem on analytic circle diffeomorphisms
We are reorganizing and expanding on the presentation in [6]. Arnold’s paper: [1]. Other sources that present the theorem, as I come across them: [2], [3]. Let Sσ = {z ∈ C : |=z| < σ}, let ‖η‖σ = sup|=z|<σ |η(z)|, and let Bσ = {η : η is holomorphic on Sσ, η(x+ 1) = η(x), and ‖η‖σ <∞}. For each σ > 0, the set Bσ is a Banach space with the norm ‖ · ‖σ. We say that ρ ∈ R is of type (K, ν) if |ρ− m...
متن کاملAn analytic KAM-Theorem
We prove an analytic KAM-theorem, which is used in [1], where the differential part of KAM-theory is discussed. Related theorems on analytic KAM-theory exist in the literature (e. g., among many others, [7], [8], [13]). The aim of the theorem presented here is to provide exactly the estimates needed in [1].
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ژورنال
عنوان ژورنال: The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science
سال: 1842
ISSN: 1941-5966,1941-5974
DOI: 10.1080/14786444208621514