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The Diagonal Distribution for the Invariant Measure of a Unitary Type Symmetric Space
      
In this paper we compute the Fourier transform of the diagonal distribution for $\phi_{*}\mu,$ relative to a compatible triangular decomposition of G, the complexification of U.
      
Scales of quasi-norms are defined for the coefficients of the expansion that characterize, via Littlewood-Paley-Stein theory, when a radial distribution belongs to a Triebel-Lizorkin or Besov space.
      
Approximation of Distribution Spaces by Means of Kernel Operators
      
In this note we prove that the Wigner distribution of an f ∈ L2(?n) cannot be supported by a set of finite measure in ?2n unless f=0.
      
As a strengthening of the conjecture we show that for an f ∈ L2(?n) its Wigner distribution has a support of measure 0 or ∞ in any half-space of ?2n.
      
We develop here a part of the existence theory for the inhomogeneous refinement equation where a (k) is a finite sequence and F is a compactly supported distribution on ?.
      
The function, is a characteristic function of a probability distribution iff.
      
This distribution is absolutely continuous; for θ=0 it is symmetric.
      
In 1994, Kotz, Ostrovskii and Hayfavi [10] carried out a detailed investigation of analytic and asymptotic properties of the density of the distribution for the symmetric case θ=0.
      
This criterion implies several results concerning the problem of integrable solutions of n-scale refinement equations and the problem of absolutely continuity of distribution function of one random series.
      
A similar formula is valid when the Gaussian is replaced by the tempered distribution ei/2>amp;lt;...>amp;gt;.
      
It is shown that there is a similar identity when the inner product is replaced by an indefinite quadratic formq and h is a Л-harmonic distribution, where Л is the differential operator canonically associated toq.
      
We show that any tempered distribution on the n-fold metaplectic covers of SL(2, F) or of GL(r, F) (satisfying the assumptions of Section 1.1 below) may be expressed as a distributional integral over the tempered dual.
      
We also show that any invariant distribution on the n-fold metaplectic covers of SL(2, F) or of GL(r, F) is supported on the tempered dual.
      
Application to estimating the initial heat distribution is analyzed.
      
Let $0 \neq f\in \mathcal{S}(\mathbb{R}^+).$ We show that Lf(L)δ, the distribution kernel of the operator Lf(L), is an admissible function on G.
      
Overall the pharmacokinetic properties of both isomers were similar in rats, monkeys and humans, with β-isomer exhibiting longer elimination half-life, MRT, volume of distribution and clearance, irrespective of the route of administration.
      
Ascorbic acid was labeled with Tc-99m and the distribution of 99mTc-AA was investigated.
      
In the present paper the expression of n-dimensional survival distribution functions of the processes {δt} and {γt}, and their Lebesgue decompositions are derived.
      
 

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