A Fourier Transform for Compact Nilmanifolds with Flat Orbits.
A functional calculus for Rockland operators on nilpotent Lie groups
A gauge theoretical approach to space-time structures
A Gaussian bound for convolutions of functions on locally compact groups
We give new and general sufficient conditions for a Gaussian upper bound on the convolutions of a suitable sequence K₁, K₂, K₃, ... of complex-valued functions on a unimodular, compactly generated locally compact group. As applications, we obtain Gaussian bounds for convolutions of suitable probability densities, and for convolutions of small perturbations of densities.
A General Character Formula for Irreducible Projections on L2 of a Nilmanifold.
A general class of nonlinear univariate subdivision algorithms and their -smoothness.
A general non-linear convexity theorem.
A generalisation of Teichmüller space in the hermitian context
A generalization of amenability and inner amenability of groups
Let be a locally compact group. We continue our work [A. Ghaffari: -amenability of locally compact groups, Acta Math. Sinica, English Series, 26 (2010), 2313–2324] in the study of -amenability of a locally compact group defined with respect to a closed subgroup of . In this paper, among other things, we introduce and study a closed subspace of and then characterize the -amenability of using . Various necessary and sufficient conditions are found for a locally compact group to possess...
A generalization of the diagonal theorem on a block-matrix
A generalization of the Enright-Varadarajan modules
A generalization of the exterior product of differential forms combining Hom-valued forms
This article deals with vector valued differential forms on -manifolds. As a generalization of the exterior product, we introduce an operator that combines -valued forms with -valued forms. We discuss the main properties of this operator such as (multi)linearity, associativity and its behavior under pullbacks, push-outs, exterior differentiation of forms, etc. Finally we present applications for Lie groups and fiber bundles.
A generalization of Wienner's criteria for the continuity of a Borel measure
A generalized coherent state approach of the quantum dynamics for suitable time-dependent hamiltonians
A generalized global differential calculus. II. Application to invariance under a Lie group
A generalized notion of -weak amenability
In the current work, a new notion of -weak amenability of Banach algebras using homomorphisms, namely --weak amenability is introduced. Among many other things, some relations between --weak amenability of a Banach algebra and , the Banach algebra of matrices with entries from , are studied. Also, the relation of this new concept of amenability of a Banach algebra and its unitization is investigated. As an example, it is shown that the group algebra is ()--weakly amenable for any...
A Generalized Orlicz-Pettis Theorem and Applications.
A generalized universal complexification for compact groups.
A geometric approach to on-diagonal heat kernel lower bounds on groups
We introduce a new method for obtaining heat kernel on-diagonal lower bounds on non- compact Lie groups and on infinite discrete groups. By using this method, we are able to recover the previously known results for unimodular amenable Lie groups as well as for certain classes of discrete groups including the polycyclic groups, and to give them a geometric interpretation. We also obtain new results for some discrete groups which admit the structure of a semi-direct product or of a wreath product....
A Geometric Approach to the Bohr Compactification of Cones.