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The aim of this paper is to give a q-analogue for complete monotonicity. We apply a classical characterization of Hausdorff moment sequences in terms of positive definiteness and complete monotonicity, adapted to the q-situation. The method due to Maserick and Szafraniec that does not need moments turns out to be useful. A definition of a q-moment sequence appears as a by-product.

A real inversion formula for the Laplace transform in a Sobolev space.

Amano, K., Saitoh, S., Syarif, A. (1999)

Zeitschrift für Analysis und ihre Anwendungen

A reconsideration of the "three squares" problem.

P.G. Laird (1980)

Aequationes mathematicae

A refined Tauberian Theorem for Laplace transforms in dimension d>1.

U. Stadtmüller (1981)

Journal für die reine und angewandte Mathematik

A refinement of the Helson-Szegö theorem and the determination of the extremal measures

Rodrigo Arocena (1981)

Studia Mathematica

A relation between generalised Laplace and Hardy's transform

H. N. Nigam (1970)

Matematički Vesnik

A relation between the Laplace transform and the Mellin transform with applications

Nair, V.C., Samar, M.S. (1975)

Portugaliae mathematica

A remark on singular supports of convolutions.

Lars Hörmander (1979)

Mathematica Scandinavica

A remark on the asymmetry of convolution operators

Saverio Giulini (1989)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

A convolution operator, bounded on $L^{q}(\mathbb{R}^{n})$ , is bounded on $L^{p}(\mathbb{R}^{n})$ , with the same operator norm, if $p$ and $q$ are conjugate exponents. It is well known that this fact is false if we replace $\mathbb{R}^{n}$ with a general non-commutative locally compact group $G$ . In this paper we give a simple construction of a convolution operator on a suitable compact group $G$ , wich is bounded on $L^{q}(G)$ for every $q\in[2,\infty)$ and is unbounded on $L^{p}(G)$ if $p\in[1,2)$ .

We show that Boehmians defined over open sets of ℝⁿ constitute a sheaf. In particular, it is shown that such Boehmians satisfy the gluing property of sheaves over topological spaces.

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Displaying 61 – 80 of 145

A Pick function related to an inequality for the entropy function.

A procedure for the solution of the equations of motion by the finite element method

A property of L-L integral transformations.

A q-analogue of complete monotonicity

A real inversion formula for the Laplace transform in a Sobolev space.

A reconsideration of the "three squares" problem.

A refined Tauberian Theorem for Laplace transforms in dimension d>1.

A refinement of the Helson-Szegö theorem and the determination of the extremal measures

A relation between generalised Laplace and Hardy's transform

A relation between the Laplace transform and the Mellin transform with applications

A remark on singular supports of convolutions.

A remark on the asymmetry of convolution operators

A Remark on the Multidimensional Moment Problem.

A remark on Yosida's complement to Mikusiński's operational calculus

A representation of Jacobi functions.

A Riemann–Hilbert problem and the Bernoulli boundary condition in the variational theory of Stokes waves

A sheaf of Boehmians

A simple complement to Miklusiński's operational calculus

A Singular Convolution Equation In The Space Of Distributions

A Singular Convolution Equation In The Space Of Distributions II

Currently displaying 61 – 80 of 145