Download PDF by Gilles Lacombe: Analyse fonctionnelle : Exercices corrigés

By Gilles Lacombe

ISBN-10: 2100044478

ISBN-13: 9782100044474

Ce recueil de 218 exercices et problèmes corrigés permet de se familiariser avec l'essentiel des notions développées dans ce cours. Les suggestions sont rédigées en se référant, dès que attainable, à un théorème, un exemple, une proposition, un corollaire ou un lemme. Au sommaire: Espace des fonctions maintains sur un compact, Mesures de Radon, Espaces de Hilbert, Espaces L, Spectre, Opérateurs compacts, Distributions: définitions, exemples, Distributions: multiplication, dérivation, Convolution des distributions, Laplacien sur un ouvert.

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3. Local and Antilocal Convolutions This part is devoted to a form of the UP for shift invariant linear operators; we call it antilocality. 3. 3. In this part everything is closely related to the UP of Parts 1 and 2. 1. Local and completely local convolutions We denote by V' (JRd) the set of all distributions in JRd. Let K be a linear operator mapping a linear set domK C V' (JRd) into V' (JRd) . We call it local if it does not increase the support: T E domK => supp KT C supp T, or what is the same K(T)IO depends only on TID for any open 0 C JRd and T E domK.

146-177. ,1, Nl,1990, p. , On Fourier transforms of measures with compact support. , 107, 1962, p. 291-302. , On the closure of characters and the zeros of entire functions. , 118, NI-2, 1967, p. 79-93. , WolffT. A remark on gradients of harmonic functions in dimension 3. , 60/61, Nl, 1990, p. 253-260. , Selected problems on exceptional sets. Van Nostrand, Princeton, New Jersey, 1967. , L'integrale de Fourier et quelques questions qui s'y rattachent. , UpPSala, 1944. [DeBr] De Branges L. Hilbert spaces of entire functions.

WolffT. A remark on gradients of harmonic functions in dimension 3. , 60/61, Nl, 1990, p. 253-260. , Selected problems on exceptional sets. Van Nostrand, Princeton, New Jersey, 1967. , L'integrale de Fourier et quelques questions qui s'y rattachent. , UpPSala, 1944. [DeBr] De Branges L. Hilbert spaces of entire functions. ), 1968. L. Theory of HP spaces. Academic Press, NY, 1970. , Moduli and arguments of analytic functions from the subspaces invariant for the back· ward shift operator. Sibirsk.

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Analyse fonctionnelle : Exercices corrigés by Gilles Lacombe


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