Function spaces on semitopological semigroups.
Function spaces on the Olśhanskiĭsemigroup and the Gel'fand-Gindikin program
For the scalar holomorphic discrete series representations of and their analytic continuations, we study the spectrum of a non-compact real form of the maximal compact subgroup inside . We construct a Cayley transform between the Ol’shanskiĭ semigroup having as Šilov boundary and an open dense subdomain of the Hermitian symmetric space for . This allows calculating the composition series in terms of harmonic analysis on . In particular we show that the Ol’shanskiĭ Hardy space for is different...
Functional calculus in weighted group algebras.
Let G be a compactly generated, locally compact group with polynomial growth and let ω be a weight on G. We look for general conditions on the weight which allow us to develop a functional calculus on a total part of L1(G,ω). This functional calculus is then used to study harmonic analysis properties of L1(G,ω), such as the Wiener property and Domar's theorem.
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