Results 31 to 40 of about 206,399 (279)

Convolution of orbital measures on symmetric spaces of type $C_p$ and $D_p$ [PDF]

, 2014
We study the absolute continuity of the convolution $\delta_{e^X}^\natural \star\delta_{e^Y}^\natural$ of two orbital measures on the symmetric spaces ${\bf SO}_0(p,p)/{\bf SO}(p)\times{\bf SO}(p)$, $\SU(p,p)/{\bf S}({\bf U}(p)\times{\bf U}(p))$ and $\Sp(
Graczyk, Piotr, Sawyer, Patrice
core   +5 more sources

Extension of generalized Fox’s H-function operator to certain set of generalized integrable functions

Advances in Difference Equations, 2020
In this article, we investigate the so-called Inayat integral operator T p , q m , n $T_{p,q}^{m,n}$ , p , q , m , n ∈ Z $p,q,m,n\in \mathbb{Z}$ , 1 ≤ m ≤ q $1\leq m\leq q$ , 0 ≤ n ≤ p $0\leq n\leq p $ , on classes of generalized integrable functions. We
Shrideh Khalaf Al-Omari
doaj   +1 more source

On bialgebras associated with paths and essential paths on ADE graphs [PDF]

, 2004
We define a graded multiplication on the vector space of essential paths on a graph $G$ (a tree) and show that it is associative. In most interesting applications, this tree is an ADE Dynkin diagram. The vector space of length preserving endomorphisms of
Coquereaux, Robert, Garcia, Ariel O.
core   +2 more sources

Harmonic analysis on Heisenberg--Clifford Lie supergroups

, 2011
We define a Fourier transform and a convolution product for functions and distributions on Heisenberg--Clifford Lie supergroups. The Fourier transform exchanges the convolution and a pointwise product, and is an intertwining operator for the left regular
Alldridge, Alexander, Hilgert, Joachim, Laubinger, Martin   +2 more
core   +1 more source

Preduals of semigroup algebras [PDF]

, 2010
For a locally compact group G, the measure convolution algebra M(G) carries a natural coproduct. In previous work, we showed that the canonical predual C 0(G) of M(G) is the unique predual which makes both the product and the coproduct on M(G) weak ...
Daws, M., Pham, H-L., White, S.
core   +1 more source

Quantum field theory, Feynman-, Wheeler propagators, dimensional regularization in configuration space and convolution of Lorentz invariant tempered distributions [PDF]

, 2018
The Dimensional Regularization (DR) of Bollini and Giambiagi (BG) can not be defined for all Schwartz Tempered Distributions Explicitly Lorentz Invariant (STDELI) S'L.
Plastino, Ángel Luis, Rocca, Mario Carlos   +1 more
core   +2 more sources

Smoothness of convolution products of orbital measures on rank one compact symmetric spaces

, 2015
We prove that all convolution products of pairs of continuous orbital measures in rank one, compact symmetric spaces are absolutely continuous and determine which convolution products are in $L^{2}$ (meaning, their density function is in $L^{2 ...
Hare, Kathryn, He, Jimmy
core   +1 more source

Optimal codomains for the Laplace operator and the product Laplace operator

Journal of Function Spaces and Applications, 2007
An optimal codomain for an operator P (∂) with fundamental solution E, is a maximal space of distributions T for which it is possible to define the convolution E*T and thus to solve the equation P (∂)S=T.
Josefina Alvarez, Lloyd Edgar S. Moyo
doaj   +1 more source

A fractional Fourier integral operator and its extension to classes of function spaces

Advances in Difference Equations, 2018
In this paper, an attempt is being made to investigate a class of fractional Fourier integral operators on classes of function spaces known as ultraBoehmians.
Shrideh K. Al-Omari
doaj   +1 more source

On a Mixed Transient–Asymptotic Result for the Sequential Interval Reliability for Semi-Markov Chains

Mathematics
In this paper, we are concerned with the study of sequential interval reliability, a measure recently introduced in the literature. This measure represents the probability of the system working during a sequence of nonoverlapping time intervals.
Guglielmo D’Amico, Thomas Gkelsinis
doaj   +1 more source