Good Representations and Homogeneous Spaces

The Representations and Positive Type Functions of Some Homogenous Spaces

‎For a homogeneous spaces ‎$‎G/H‎$‎, we show that the convolution on $L^1(G/H)$ is the same as convolution on $L^1(K)$, where $G$ is semidirect product of a closed subgroup $H$ and a normal subgroup $K $ of ‎$‎G‎$‎. ‎Also we prove that there exists a one to one correspondence between nondegenerat $ast$-representations of $L^1(G/H)$ and representations of ...

Two-wavelet constants for square integrable representations of G/H

In this paper we introduce two-wavelet constants for square integrable representations of homogeneous spaces. We establish the orthogonality relations fo...

Good properties of algebras of invariants and defect of linear representations

If a reductive group G acts on an algebraic variety X , then the complexity of X , or of the action, is the minimal codimension of orbits of a Borel subgroup. The concept of complexity has the origin in theory of equivariant embeddings of homogeneous spaces. It has been shown in the fundamental paper by Luna and Vust [11] that an exhaustive theory can be developed for homogeneous spaces of comp...

Hereditarily Homogeneous Generalized Topological Spaces

In this paper we study hereditarily homogeneous generalized topological spaces. Various properties of hereditarily homogeneous generalized topological spaces are discussed. We prove that a generalized topological space is hereditarily homogeneous if and only if every transposition of $X$ is a $mu$-homeomorphism on $X$.

Convolution and Homogeneous Spaces

Frames and Homogeneous Spaces

Let be a locally compact non?abelian group and be a compact subgroup of also let be a ?invariant measure on the homogeneous space . In this article, we extend the linear operator as a bounded surjective linear operator for all ?spaces with . As an application of this extension, we show that each frame for determines a frame for and each frame for arises from a frame in via...