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.
Infinitesimal characterisation of analytic vectors for representations of real Lie groups on locally convex spaces.
Inhomogenous Discrete Calderón Reproducing Formulas for Spaces of Homogenous Type.
Injectivity Sets for Spherical Means on ... and on Symmetric Spaces.
Injectivity Sets for Spherical Means on the Heisenberg Group.
Inner amenability of Lau algebras
A concept of amenability for an arbitrary Lau algebra called inner amenability is introduced and studied. The inner amenability of a discrete semigroup is characterized by the inner amenability of its convolution semigroup algebra. Also, inner amenable Lau algebras are characterized by several equivalent statements which are similar analogues of properties characterizing left amenable Lau algebras.
Integral characterization of elementary definitizable functions.
Integral expression of some indecomposable characters of the infinite symmetric group in terms of irreducible repesentations.
Integral representations in conuclear cones.
Integral representations on convex semigroups.
Intégrales invariantes et formules de caractères pour un groupe de Lie connexe à radical co-compact
Intégrales orbitales sur les algèbres de Lie réductives.