Related papers: Analytic Bertini theorem
We prove the Aharoni Berger Conjecture
We provide the detailed proof of a strengthened version of the M. Artin Approximation Theorem.
We prove several new Bertini theorems over arbitrary fields and discrete valuation rings.
In an earlier paper, we gave an abstract formulation of a theorem of Sierpi\'nski in uncountable commutative groups. In this paper, we prove a result which generalizes the earlier formulation.
We generalize and prove a result which was first shown by Zippin, and was explicitly formulated by Benyamini.
In this paper, by using analytical methods we obtain a generalization of the famous Kodaira embedding theorem.
We provide a proof of the Borwein Conjecture using analytic methods.
We prove some new results related to Tanaka's formula.
An analytic proof is proposed of Wiener's theorem on factorization of positive definite matrix-functions.
We prove an infinitary version of the Brauer-Schur theorem.
We give a new proof of Brooks' theorem that immediately implies a strengthening of Brooks' theorem, known as Catlin's theorem.
In this paper we prove the WALA conjecture.
We give a generalization of Fujisawa's theorem in [F]. Our proof of the generalized theorem is purely algebraic and it is simpler than his proof.
Using notions of homogeneity we give new proofs of M. Artin's algebraicity criteria for functors and groupoids. Our methods give a more general result, unifying Artin's two theorems and clarifying their differences.
We summarize and extend E. Moody's results on the explicit equations related to the Bertini involution.
The goal of this expository article is to present a proof that is as direct and elementary as possible of the fundamental theorem of complex multiplication (Shimura, Taniyama, Langlands, Tate, Deligne et al.). The article is a revision of…
In this short note we extend a result of Jahangiri and Farahmand \cite{JM} concerning functions of bounded turning to a more general class of functions.
This is the second part of a work dedicated to the study of Bernstein-Sato polynomials for several analytic functions depending on parameters. In this part, we give constructive results generalizing previous ones obtained by the author in…
In this paper we present another proof of the analytic version of the Hahn-Banach theorem in terms of convex functionals.
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…