Functional calculus of Lie groups and wave propagation.
Functional Equation for Spherical Functions on Finite Groups.
Functionals on Banach Algebras with Scattered Spectra
Let A be a complex, commutative Banach algebra and let 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 is scattered (i.e., has no nonempty perfect subset). (b) Weakly almost periodic functionals...
Functions, flows and oscillatory integrals on flag manifolds and conjugacy classes in real semisimple Lie groups
Functions in and associated convolution operators
Functions of Bounded Variation on Idempotent Semigroups:
Functions of Translation Type and Functorial Properties of Segal Algebras II.
Functions of Translation Type and Functorial Properties of Segal Algebras I.
Functions with a Finite Number of Negative Squares on Semigroups.
Fundamental solutions for translation and rotation invariant differential operators on the Heisenberg group
Fundamental solutions of differential operators on homogeneous manifolds of negative curvature and related Riesz transforms
Funktionenalgebren auf Bahnen nilpotenter Gruppen
Further properties of an extremal set of uniqueness
Gardens of Eden and amenability on cellular automata
GAUSS MEASURES ON SEMIGROUPS.
Gaussian measures in Urbanik's sense and a characterization theorem for abelian groups
Gaußsche Wahrscheinlichkeitsmaße auf Corwinschen Gruppen.
Gelfand pairs and spherical functions.
Gelfand transforms of -invariant Schwartz functions on the free group
The spectrum of a Gelfand pair , where is a nilpotent group, can be embedded in a Euclidean space. We prove that in general, the Schwartz functions on the spectrum are the Gelfand transforms of Schwartz -invariant functions on . We also show the converse in the case of the Gelfand pair , where is the free two-step nilpotent Lie group with three generators. This extends recent results for the Heisenberg group.
Généralisation d'un théorème de Haagerup
Let G be a group of automorphisms of a tree X (with set of vertices S) and H a kernel on S × S invariant under the action of G. We want to give an estimate of the -operator norm (1 ≤ r ≤ 2) of the operator associated to H in terms of a norm for H. This was obtained by U. Haagerup when G is the free group acting simply transitively on a homogeneous tree. Our result is valid when X is a locally finite tree and one of the orbits of G is the set of vertices at even distance from a given vertex; a technical...