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Orthonormal bases for spaces of continuous and continuously differentiable functions defined on a subset of Zp.

Ann Verdoodt (1996)

Revista Matemática de la Universidad Complutense de Madrid

Let K be a non-Archimedean valued field which contains Qp, and suppose that K is complete for the valuation |·|, which extends the p-adic valuation. Vq is the closure of the set {aqn | n = 0,1,2,...} where a and q are two units of Zp, q not a root of unity. C(Vq --> K) (resp. C1(Vq --> K)) is the Banach space of continuous functions (resp. continuously differentiable functions) from Vq to K. Our aim is to find orthonormal bases for C(Vq --> K) and C1(Vq --> K).

P-adic continuously differentiable functions of several variables.

Stany De Smedt (1994)

Collectanea Mathematica

Remarks on the Bourgain-Brezis-Mironescu Approach to Sobolev Spaces

B. Bojarski (2011)

Bulletin of the Polish Academy of Sciences. Mathematics

For a function $f \in L_{l o c}^{p} (ℝ ⁿ)$ the notion of p-mean variation of order 1, $₁^{p} (f, ℝ ⁿ)$ is defined. It generalizes the concept of F. Riesz variation of functions on the real line ℝ¹ to ℝⁿ, n > 1. The characterisation of the Sobolev space $W^{1, p} (ℝ ⁿ)$ in terms of $₁^{p} (f, ℝ ⁿ)$ is directly related to the characterisation of $W^{1, p} (ℝ ⁿ)$ by Lipschitz type pointwise inequalities of Bojarski, Hajłasz and Strzelecki and to the Bourgain-Brezis-Mironescu approach.

Some considerations on the monotonicity property of power means.

Gavrea, Ioan (2004)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Some counterexamples in $p$ -adic analysis

Ján Mináč (1980)

Mathematica Slovaca

Spaces of D-paraanalytic elements [Book]

D. Przeworska-Rolewicz (1990)

The Affine Frame in $p$ -adic Analysis

Ming Gen Cui, Huan Min Yao, Huan Ping Liu (2003)

Annales mathématiques Blaise Pascal

In this paper, we will introduce the concept of affine frame in wavelet analysis to the field of $p$ -adic number, hence provide new mathematic tools for application of $p$ -adic analysis.

The van der Put base for $C^{n}$ -functions.

De Smedt, Stany (1994)

Bulletin of the Belgian Mathematical Society - Simon Stevin

The Weierstrass-Stone approximation theorem for $p$ -adic $C^{n}$ -functions

J. Araujo, Wim H. Schikhof (1994)

Annales mathématiques Blaise Pascal

Valeurs absolues des algèbres de Krasner

Alain Escassut (1978/1979)

Groupe de travail d'analyse ultramétrique

Wallis entre Hobbes et Newton. La question de l’angle de contact chez les anglais

François Loget (2002)

Revue d'histoire des mathématiques

Cet article traite d’un aspect de la controverse qui a opposé Hobbes et Wallis dans la deuxième moitié du xviie siècle, celui portant sur l’angle de contact. Wallis a publié deux traités sur l’angle de contact, l’un en 1656, l’autre en 1685. Entre ces deux dates sa position sur la question de l’angle de contact a sensiblement évolué. Durant la même période, il s’est opposé à Hobbes sur divers sujets de mathématiques, dont l’angle de contact. J’étudie les positions des deux protagonistes à travers...

Displaying 21 – 31 of 31

Spaces of D-paraanalytic elements [Book]

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