Ideal and representation theory of the -algebra of a group with polynomial growth
Ideal Structure of Operator and Measure Algebras.
Ideal Theory in Group Algebras of Locally Compact Groups.
Ideale mit beschränkter approximativer Eins in Gruppenalgebren von Moore-Gruppen.
Ideals in Group Algebras of Finitely Generated FC-Nilpotent Discrete Groups.
Ideaux primitifs de certains produits croises.
Il existe sur des moyennes invariantes et non topologiquement invariantes
Image d'un homomorphisme et flot des poids d'une relation d'Équivalence mesurée.
Images of Gaussian random fields: Salem sets and interior points
Let be a Gaussian random field in with stationary increments. For any Borel set , we provide sufficient conditions for the image X(E) to be a Salem set or to have interior points by studying the asymptotic properties of the Fourier transform of the occupation measure of X and the continuity of the local times of X on E, respectively. Our results extend and improve the previous theorems of Pitt [24] and Kahane [12,13] for fractional Brownian motion.
In general, Bernoulli convolutions have independent powers
In search of the invisible spectrum
In this paper, we begin the study of the phenomenon of the “invisible spectrum” for commutative Banach algebras. Function algebras, formal power series and operator algebras will be considered. A quantitative treatment of the famous Wiener-Pitt-Sreider phenomenon for measure algebras on locally compact abelian (LCA) groups is given. Also, our approach includes efficient sharp estimates for resolvents and solutions of higher Bezout equations in terms of their spectral bounds. The smallest “spectral...
Indefinite Funtions on Commutative Groups.
Independence with respect to families of characters
Independent sets and measures algebras
Induced representations and duality results for commutative hypergroups.
Induced Representations and Hypergroup Homomorphisms.
Induced representations of hypergroups.
Induced stationary process and structure of locally square integrable periodically correlated processes
A one-to-one correspondence between locally square integrable periodically correlated (PC) processes and a certain class of infinite-dimensional stationary processes is obtained. The correspondence complements and clarifies Gladyshev's known result [3] describing the correlation function of a continuous periodically correlated process. In contrast to Gladyshev's paper, the procedure for explicit reconstruction of one process from the other is provided. A representation of a PC process as a unitary...
Inductive extreme non-Arens regularity of the Fourier algebra A(G)
Let G be a non-discrete locally compact group, A(G) the Fourier algebra of G, VN(G) the von Neumann algebra generated by the left regular representation of G which is identified with A(G)*, and WAP(Ĝ) the space of all weakly almost periodic functionals on A(G). We show that there exists a directed family ℋ of open subgroups of G such that: (1) for each H ∈ ℋ, A(H) is extremely non-Arens regular; (2) and ; (3) and it is a WAP-strong inductive union in the sense that the unions in (2) are strongly...
Inegalités de Sobolev Pour les Sous Laplaciens de Certains Groupes Unimodulaires.