On the ultrametric Stone-Weierstrass theorem and Mahler's expansion

Paul-Jean Cahen; Jean-Luc Chabert

Displaying similar documents to “On the ultrametric Stone-Weierstrass theorem and Mahler's expansion”

Compactness of support of solutions for some classes of nonlinear elliptic and parabolic systems.

M. Bouchekif (1994)

Publicacions Matemàtiques

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In this paper, we obtain some existence theorems of nonnegative solutions with compact support for homogeneous Dirichlet elliptic problems; we also extend these results to parabolis systems. Supersolution and comparison principles are our main ingredients.

Dirichlet problem for a nonlinear conservation law.

Guy Vallet (2000)

Revista Matemática Complutense

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In this paper we propose the study of a first-order non-linear hyperbolic equation in a bounded domain. We give a result of existence and uniqueness of the entropic measure-valued solution and of the entropic weak solution; for some general assumptions on the data.

The new properties of the theta functions

Stefan Czekalski (2013)

Annales mathématiques Blaise Pascal

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It is shown, that the function $\begin{matrix} H (x) & = \sum_{k = - \infty}^{\infty} e^{- k^{2} x} \\ satisfies the relation \\ H (x) & = \sum_{n = 0}^{\infty} \frac{{(2 π)}^{2 n}}{(2 n)!} H^{(n)} (x) . \end{matrix}$

Model theory of fields: An application to positive semidefinite polynomials

Alexander Prestel (1984)

Mémoires de la Société Mathématique de France

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Topological properties of two-dimensional number systems

Shigeki Akiyama, Jörg M. Thuswaldner (2000)

Journal de théorie des nombres de Bordeaux

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In the two dimensional real vector space $ℝ^{2}$ one can define analogs of the well-known $q$ -adic number systems. In these number systems a matrix $M$ plays the role of the base number $q$ . In the present paper we study the so-called fundamental domain $ℱ$ of such number systems. This is the set of all elements of $ℝ^{2}$ having zero integer part in their “ $M$ -adic” representation. It was proved by Kátai and Környei, that $ℱ$ is a compact set and certain translates of it form a tiling of the $ℝ^{2}$ . We construct...

Right ideals and derivations on multilinear polynomials

Vincenzo De Filippis (2001)

Rendiconti del Seminario Matematico della Università di Padova

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On blocks of arithmetic progressions with equal products

N. Saradha (1997)

Journal de théorie des nombres de Bordeaux

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Let $f (X) \in ℚ [X]$ be a monic polynomial which is a power of a polynomial $g (X) \in ℚ [X]$ of degree $μ \geq 2$ and having simple real roots. For given positive integers $d_{1}, d_{2}, ℓ, m$ with $ℓ < m$ and gcd $(ℓ, m) = 1$ with $μ \leq m + 1$ whenever $m < 2$ , we show that the equation $f (x) f (x + d_{1}) \dots f (x + (ℓ k - 1) d_{1}) = f (y) f (y + d_{2}) \dots f (y + (m k - 1) d_{2})$ with $f (x + j d_{1}) \neq 0$ for $0 \leq j < ℓ k$ has only finitely many solutions in integers $x, y$ and $k \geq 1$ except in the case $m = μ = 2, ℓ = k = d_{2} = 1, f (X) = g (X), x = f (y) + y .$

Schwartz's theorem on mean periodic vector-valued functions

François Parreau, Yitzhak Weit (1989)

Bulletin de la Société Mathématique de France

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On the quotient ( $Ω$ ,m)-ringoids.

Lee, Sin-Min (1989)

Publications de l'Institut Mathématique. Nouvelle Série

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Approximation by linear combination of Szász-Mirakian operators

H. Kasana, P. Agrawal (1999)

Colloquium Mathematicae

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