Displaying similar documents to “ T f -splines et approximation par T f -prolongement”

Régularité du temps local brownien dans les espaces de Besov-Orlicz

B. Boufoussi (1996)

Studia Mathematica

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Let ( B t , t ≥ 0 ) be a linear Brownian motion and (L(t,x), t > 0, x ∈ ℝ) its local time. We prove that for all t > 0, the process (L(t,x), x ∈ [0,1]) belongs almost surely to the Besov-Orlicz space B M 1 , ∞ 1 / 2 with M 1 ( x ) = e | x | - 1 .

Remarques sur la formule sommatoire de Poisson

Jean Kahane, Pierre-Gilles Lemarié-Rieusset (1994)

Studia Mathematica

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It is well known that the condition “f ∈ L¹ and f̂ ∈ L¹” is not sufficient to ensure the validity of the Poisson summation formula ∑f(k) = ∑f̂(k). We discuss here a stronger condition " x a f ∈ L p and ξ b f ̂ ∈ L q " and see for which values of a and b the condition is sufficient.

Pseudocomplémentation dans les espaces de Banach

Patric Rauch (1991)

Studia Mathematica

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This paper introduces the following definition: a closed subspace Z of a Banach space E is pseudocomplemented in E if for every linear continuous operator u from Z to Z there is a linear continuous extension ū of u from E to E. For instance, every subspace complemented in E is pseudocomplemented in E. First, the pseudocomplemented hilbertian subspaces of L ¹ are characterized and, in L p with p in [1, + ∞[, classes of closed subspaces in which the notions of complementation and pseudocomplementation...

Quelques espaces fonctionnels associés à des processus gaussiens

Z. Ciesielski, G. Kerkyacharian, B. Roynette (1993)

Studia Mathematica

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The first part of the paper presents results on Gaussian measures supported by general Banach sequence spaces and by particular spaces of Besov-Orlicz type. In the second part, a new constructive isomorphism between the just mentioned sequence spaces and corresponding function spaces is established. Consequently, some results on the support function spaces for the Gaussian measure corresponding to the fractional Brownian motion are proved. Next, an application to stochastic equations...

TRAVAUX sur L'ANALYSE FONCTIONELLE avec l'article de A. Pełczyński sur la théorie des espaces de Banach Stefan Banach, Ouevres Volume II

Stefan Banach, Czesław Bessaga, Aleksander Pełczyński, Hugo Steinhaus, Stanisław Saks, Stanisław Mazur, Kazimierz Kuratowski

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comité de rédaction: Czesław Bessaga, Stanisław mazur, Władysław Orlicz, Aleksander Pełczyński, Stefan Rolewicz, Wiesław Żelazko Front page of Volume II, p.1-1 Tables des Matières, p.1-4 Préface, p.5-5 Publications de Stefan Banach, p.7-11 S. Banach: Front page and preface to "THÉORIE DES OPÉRATIONS LINÉAIRES" (MONOGRAFIE MATEMATYCZNE V.1), p.13-18 S. Banach: THÉORIE DES OPÉRATIONS LINÉAIRES (MONOGRAFIE MATEMATYCZNE T.1), p.19-222 C. Bessaga, A. Pełczyński: SOME ASPECTS OF THE PRESENT...