An extension of a theorem of F. Forelli.
An extension of deLeeuw’s theorem to the -dimensional rotation group
We study a method of approximating representations of the group by those of the group . As a consequence we establish a version of a theorem of DeLeeuw for Fourier multipliers of that applies to the “restrictions” of a function on the dual of to the dual of .
An extension of Mahler's theorem to simply connected nilpotent groups
This Note gives an extension of Mahler's theorem on lattices in to simply connected nilpotent groups with a -structure. From this one gets an application to groups of Heisenberg type and a generalization of Hermite's inequality.
An extension of the Khinchin-Groshev theorem
We prove a version of the Khinchin-Groshev theorem in Diophantine approximation for quadratic extensions of function fields in positive characteristic.
An extention of Nomizu’s Theorem –A user’s guide–
For a simply connected solvable Lie group G with a lattice Γ, the author constructed an explicit finite-dimensional differential graded algebra A*Γ which computes the complex valued de Rham cohomology H*(Γ, C) of the solvmanifold Γ. In this note, we give a quick introduction to the construction of such A*Γ including a simple proof of H*(A*Γ) ≅ H*(Γ, C).
An F. and M. Riesz theorem for bounded symmetric domains
We generalize the classical F. and M. Riesz theorem to metrizable compact groups whose center contains a copy of the circle group. Important examples of such groups are the isotropy groups of the bounded symmetric domains.The proof uses a criterion for absolute continuity involving spaces with : A measure on a compact metrisable group is absolutely continuous with respect to Haar measure on if for some a certain subspace of which is related to has sufficiently many continuous linear...
An F. and M. Riesz theorem for compact Lie groups.
An Imprimitivity Theorem for Hypergroups.
An inequality for local unitary Theta correspondence
Given a representation of a local unitary group and another local unitary group , either the Theta correspondence provides a representation of or we set . If is fixed and varies in a Witt tower, a natural question is: for which is ? For given dimension there are exactly two isometry classes of unitary spaces that we denote . For let us denote the minimal of the same parity of such that , then we prove that where is the dimension of .
An infinite dimensional approach to the third fundamental theorem of Lie.
An integral formula for cocycles of Lie groups
An integral representation of standard automorphic functions for unitary groups.
An intrinsic classification of the unitarizable highest weight modules as well as their associated varieties
An introduction to loopoids
We discuss a concept of loopoid as a non-associative generalization of Brandt groupoid. We introduce and study also an interesting class of more general objects which we call semiloopoids. A differential version of loopoids is intended as a framework for Lagrangian discrete mechanics.
An invariant for finitely presented ...G-modules.
An invariant symmetric non-selfadjoint differential operator.
An inversion formula for weighted orbital integrals
An Iseomorphism Theorem for Positive Commutative Semigroups on the Plane
An -criterion of amenability for a locally compact group.
An - version of Hardy's theorem for spherical Fourier transform on semisimple Lie groups.