A unified approach to concrete Plancherel theory¶of homogeneous spaces

A Unified Approach to Compact Symmetric Spaces of Rank One

A relatively simple algebraic framework is given, in which all the compact symmetric spaces can be described and handled without distinguishing cases. We also give some applications and further results.

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...

Convolution and Homogeneous Spaces

A Unified Approach to Concrete Mix Design Optimization for Durability Enhancement and Life-Cycle Cost Optimization

ii EXECUTIVE SUMMARY Concrete bridges in coastal locations, as are common in Florida, are susceptible to chloride induced reinforcing steel corrosion and to resultant concrete cracking and spalling. Design approaches adapted in the past decade by the Florida Department of Transportation to provide enhanced corrosion resistance include 1) use of high performance concretes; that is, ones with a) ...

Localization operators on homogeneous spaces

Let $G$ be a locally compact group, $H$ be a compact subgroup of $G$ and $varpi$ be a representation of the homogeneous space $G/H$ on a Hilbert space $mathcal H$. For $psi in L^p(G/H), 1leq p leqinfty$, and an admissible wavelet $zeta$ for $varpi$, we define the localization operator $L_{psi,zeta} $ on $mathcal H$ and we show that it is a bounded operator. Moreover, we prove that the localizat...