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Displaying 101 – 120 of 158

On the Haagerup inequality and groups acting on ${\tilde{A}}_{n}$ -buildings

Alain Valette (1997)

Annales de l'institut Fourier

Let $Γ$ be a group endowed with a length function $L$ , and let $E$ be a linear subspace of $C Γ$ . We say that $E$ satisfies the Haagerup inequality if there exists constants $C, s > 0$ such that, for any $f \in E$ , the convolutor norm of $f$ on $ℓ^{2} (Γ)$ is dominated by $C$ times the $ℓ^{2}$ norm of $f (1 + L)^{s}$ . We show that, for $E = C Γ$ , the Haagerup inequality can be expressed in terms of decay of random walks associated with finitely supported symmetric probability measures on $Γ$ . If $L$ is a word length function on a finitely generated group $Γ$ , we show that,...

On the hessian of the optimal transport potential

Stefán Ingi Valdimarsson (2007)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

We study the optimal solution of the Monge-Kantorovich mass transport problem between measures whose density functions are convolution with a gaussian measure and a log-concave perturbation of a different gaussian measure. Under certain conditions we prove bounds for the Hessian of the optimal transport potential. This extends and generalises a result of Caffarelli. We also show how this result fits into the scheme of Barthe to prove Brascamp-Lieb inequalities and thus prove a new generalised Reverse...

On the Meijer transformation.

Conlan, J., Koh, E.L. (1978)

International Journal of Mathematics and Mathematical Sciences

On the polyconvolution with the weight function for the Fourier cosine, Fourier sine, and the Kontorovich-Lebedev integral transforms.

Nguyen Xuan Thao (2010)

Mathematical Problems in Engineering

On the relation between Gaussian measures and convolution semigroups of local type.

Christian Berg (1975)

Mathematica Scandinavica

On the spectrum of multipliers in Bessel potential spaces

Tatjana Olegovna Shaposhnikova (1985)

Časopis pro pěstování matematiky

On the Uniform Convergence of Partial Dunkl Integrals in Besov-Dunkl Spaces

Abdelkefi, Chokri, Sifi, Mohamed (2006)

Fractional Calculus and Applied Analysis

2000 Mathematics Subject Classification: 44A15, 44A35, 46E30In this paper we prove that the partial Dunkl integral ST(f) of f converges to f, as T → +∞ in L^∞(νµ) and we show that the Dunkl transform Fµ(f) of f is in L^1(νµ) when f belongs to a suitable Besov-Dunkl space. We also give sufficient conditions on a function f in order that the Dunkl transform Fµ(f) of f is in a L^p -space.* Supported by 04/UR/15-02.

On weak restricted estimates and endpoints problems for convolutions with oscillating kernels (II)

W. Jurkat, G. Sampson (1982)

Studia Mathematica

Opérateurs de convolution définis à partir d'une forme quadratique

Alain Bachelot (1982)

Journées équations aux dérivées partielles

Operational Calculi for the Euler Operator

Dimovski, Ivan, Skórnik, Krystyna (2006)

Fractional Calculus and Applied Analysis

2000 Mathematics Subject Classification: 44A40, 44A35A direct algebraic construction of a family of operational calculi for the Euler differential operator δ = t d/dt is proposed. It extends the Mikusiński's approach to the Heaviside operational calculus for the case when the classical Duhamel convolution is replaced by the convolution ...

Operational Rules for a Mixed Operator of the Erdélyi-Kober Type

Luchko, Yury (2004)

Fractional Calculus and Applied Analysis

2000 Mathematics Subject Classification: 26A33 (main), 44A40, 44A35, 33E30, 45J05, 45D05In the paper, the machinery of the Mellin integral transform is applied to deduce and prove some operational relations for a general operator of the Erdélyi-Kober type. This integro-differential operator is a composition of a number of left-hand sided and right-hand sided Erdélyi-Kober derivatives and integrals. It is referred to in the paper as a mixed operator of the Erdélyi-Kober type. For special values of...

Operators which commute with convolutions on subspaces of $L_{\infty} (G)$

Anthony To-Ming Lau (1978)

Colloquium Mathematicae

Periodicity in quasipolynomial convolution.

Zaslavsky, Thomas (2004)

The Electronic Journal of Combinatorics [electronic only]

Renewal Processes of Mittag-Leffler and Wright Type

Mainardi, Francesco, Gorenflo, Rudolf, Vivoli, Alessandro (2005)

Fractional Calculus and Applied Analysis

2000 MSC: 26A33, 33E12, 33E20, 44A10, 44A35, 60G50, 60J05, 60K05.After sketching the basic principles of renewal theory we discuss the classical Poisson process and offer two other processes, namely the renewal process of Mittag-Leffler type and the renewal process of Wright type, so named by us because special functions of Mittag-Leffler and of Wright type appear in the definition of the relevant waiting times. We compare these three processes with each other, furthermore consider corresponding...

Currently displaying 101 – 120 of 158

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Displaying 101 – 120 of 158

On the Haagerup inequality and groups acting on ${\tilde{A}}_{n}$ -buildings

On the hessian of the optimal transport potential

On the Meijer transformation.

On the polyconvolution with the weight function for the Fourier cosine, Fourier sine, and the Kontorovich-Lebedev integral transforms.

On the relation between Gaussian measures and convolution semigroups of local type.

On the spectrum of multipliers in Bessel potential spaces

On the Uniform Convergence of Partial Dunkl Integrals in Besov-Dunkl Spaces

On weak restricted estimates and endpoints problems for convolutions with oscillating kernels (II)

Opérateurs de convolution définis à partir d'une forme quadratique

Operational Calculi for the Euler Operator

Operational Rules for a Mixed Operator of the Erdélyi-Kober Type

Operators which commute with convolutions on subspaces of $L_{\infty} (G)$

Periodicity in quasipolynomial convolution.

Renewal Processes of Mittag-Leffler and Wright Type

Results on the commutative neutrix convolution product of distributions

Reverse convolution inequalities and applications to inverse heat source problems.

Reverse weighted $L_{p}$ - norm inequalities in convolutions.

Series like Taylor's series.

Singular integral operators with complex homogeneity

Some questions in operator theory and applications in analysis

Currently displaying 101 – 120 of 158