Results 51 to 60 of about 987 (103)
, 2002 In a recent paper, we gave a topological description of Colombeau type algebras introducing algebras of sequences with exponential weights. Embeddings of Schwartz' spaces into the Colombeau algebra G are well known, but for ultradistribution and periodic
Delcroix, Antoine +3 more
core +1 more source
Wavelet transforms in generalized Fock spaces
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 4, Page 657-672, 1997., 1996 A generalized Fock space is introduced as it was developed by Schmeelk [1‐5], also Schmeelk and Takači [6‐8]. The wavelet transform is then extended to this generalized Fock space. Since each component of a generalized Fock functional is a generalized function, the wavelet transform acts upon the individual entry much the same as was developed by ...
John Schmeelk, Arpad Takači
wiley +1 more source
Polynomials on the space of ω-ultradifferentiable functions [PDF]
Opuscula Mathematica, 2007 The space of polynomials on the the space \(D_{\omega}\) of \(\omega\)-ultradifferentiable functions is represented as the direct sum of completions of symmetric tensor powers of \(D^{\prime}_{\omega}\).
Katarzyna Grasela
doaj
, 2013 Journal of Function Spaces, Volume 2013, Issue 1, 2013.
T. S. S. R. K. Rao +2 more
wiley +1 more source
On a class of translation-invariant spaces of quasianalytic ultradistributions [PDF]
, 2015 A class of translation-invariant Banach spaces of quasianalytic ultradistributions is introduced and studied. They are Banach modules over a Beurling algebra. Based on this class of Banach spaces, we define corresponding test function spaces $\mathcal{D}^
Dimovski, Pavel +2 more
core +1 more source
Reply to ``Comment on `On the inconsistency of the Bohm-Gadella theory with quantum mechanics'''
, 2007 In this reply, we show that when we apply standard distribution theory to the Lippmann-Schwinger equation, the resulting spaces of test functions would comply with the Hardy axiom only if classic results of Paley and Wiener, of Gelfand and Shilov, and of
Baumgartel H +16 more
core +1 more source
Generalized Gevrey ultradistributions
, 2007 We first introduce new algebras of generalized functions containing Gevrey ultradistributions and then develop a Gevrey microlocal analysis suitable for these algebras. Finally, we give an application through an extension of the well-known H rmander's theorem on the wave front of the product of two distributions.
Benmeriem, K., Bouzar, C.
openaire +4 more sources
Quelques théorèmes de décomposition des ultradistributions [PDF]
Annales de l'Institut Fourier, 1979 Deux décompositions d’une fonctionnelle T d’un espace d’ultra-distributions sont étudiées. La première fait intervenir une série convergente de dérivées de mesures dont on montre que les supports peuvent être pris inclus dans le support T. La seconde consiste à exprimer T comme somme de fonctionnelles du même espace portées par les éléments d’une ...
openaire +2 more sources
Sur les ultradistributions cohomologiques [PDF]
Annales de l'Institut Fourier, 1969 On considère la cohomologie de l’espace C n à valeurs dans le faisceau O et à support dans un tube T(G) à base convexe fermée, où O est le faisceau des germes de fonctions holomorphes. Si le convexe ne contient aucune droite, on prouve alors que H T(G) j (C n ;O)=0 pour j≠n.Ce fait sert de base à la théorie des ultradistributions.
openaire +2 more sources
Almost periodic generalized ultradistributions
Filomat, 2019 We first introduce an algebra of almost periodic generalized ultradistributions containing classical almost periodic ultradistributions as well as the algebra of almost periodic generalized functions, and then we study the fundamental properties of this algebra.
Bouzar, Chikh, Ouikene, Fethia
openaire +3 more sources