The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Page 1

Displaying 1 – 6 of 6

Showing per page

Fonctions définies dans le plan et vérifiant certaines propriétés de moyenne

Alain Yger (1981)

Annales de l'institut Fourier

Soit a un réel de ] 0 , 1 [ . Nous étudions le système d’équations de convolution suivant ( * ) x R 2 , f ( x ) = 1 4 ϵ = ± 1 ϵ ' = ± 1 f ( x + ( ϵ , ϵ ' ) ) = 1 4 ϵ = ± 1 ϵ ' = ± 1 f ( x + a ( ϵ , ϵ ' ) ) . Nous démontrons que les exponentielles polynômes solutions de ( * ) sont denses dans l’espace des solutions C du système d’équations; l’idéal de ' ( R 2 ) engendré par les transformées de Fourier des deux mesures intervenant ici est “slowly decreasing” au sens de Berenstein-Taylor. Lorsque a n’est pas un nombre de Liouville, nous montrons qu’il existe un ouvert relativement compact telle que toute solution distribution de ( * ) régulière...

Functionals on Banach Algebras with Scattered Spectra

H. S. Mustafayev (2004)

Bulletin of the Polish Academy of Sciences. Mathematics

Let A be a complex, commutative Banach algebra and let M A be the structure space of A. Assume that there exists a continuous homomorphism h:L¹(G) → A with dense range, where L¹(G) is a group algebra of the locally compact abelian group G. The main results of this note can be summarized as follows: (a) If every weakly almost periodic functional on A with compact spectra is almost periodic, then the space M A is scattered (i.e., M A has no nonempty perfect subset). (b) Weakly almost periodic functionals...

Currently displaying 1 – 6 of 6

Page 1