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Displaying 161 – 180 of 315

Affine Dunkl processes of type ${\tilde{A}}_{1}$

François Chapon (2012)

Annales de l'I.H.P. Probabilités et statistiques

We introduce the analogue of Dunkl processes in the case of an affine root system of type ${\tilde{A}}_{1}$ . The construction of the affine Dunkl process is achieved by a skew-product decomposition by means of its radial part and a jump process on the affine Weyl group, where the radial part of the affine Dunkl process is given by a Gaussian process on the ultraspherical hypergroup $[0, 1]$ . We prove that the affine Dunkl process is a càdlàg Markov process as well as a local martingale, study its jumps, and give a martingale...

Algebra Involutions on the Bidual of a Banach Algebra.

Michael Grosser (1984)

Manuscripta mathematica

Algebraic dimension of semigroups with application to invariant measures.

G.J. Székely (1979)

Semigroup forum

Algebraic topology foundations of supersymmetry and symmetry breaking in quantum field theory and quantum gravity: a review.

Baianu, Ion C., Glazebrook, James F., Brown, Ronald (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Algebraically independent generators of invariant differential operators on a symmetric cone.

Takaaki Nomura (1989)

Journal für die reine und angewandte Mathematik

Algèbres $A_{p}$ et convoluteurs de $L^{p}$

Pierre Eymard (1969/1970)

Séminaire Bourbaki

Algèbres de Fourier associées à une algèbre de Kac.

Jean de Cannière, Michel Enock, Jean-Marie Schwartz (1979)

Mathematische Annalen

Algèbres et noyaux de convolution sur le dual sphérique d’un groupe de Lie semi-simple, non compact et de rang $1$

M. Mizony (1976)

Publications du Département de mathématiques (Lyon)

Algèbres $L^{1}$ $p$ -adiques

Jean Fresnel, Bernard De Mathan (1978)

Bulletin de la Société Mathématique de France

Algorithmic construction of hyperfunction solutions to invariant differential equations on the space of real symmetric matrices.

Muro, Masakazu (2004)

Journal of Lie Theory

Almost automorphic and pseudo-almost automorphic solutions to semilinear evolution equations with nondense domain.

de Andrade, Bruno, Cuevas, Claudio (2009)

Journal of Inequalities and Applications [electronic only]

Almost automorphic functions with values in $p$ -Fréchet spaces.

Gal, Ciprian G., Gal, Sorin G., N'Guérékata, Gaston M. (2008)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Almost automorphic mild solutions to some semilinear abstract differential equations with deviated argument in Fréchet spaces.

Gal, Ciprian G. (2006)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Almost automorphic solution for some stochastic evolution equation driven by Lévy noise with coefficients S2−almost automorphic

Mamadou Moustapha Mbaye (2016)

Nonautonomous Dynamical Systems

In this work we first introduce the concept of Poisson Stepanov-like almost automorphic (Poisson S2−almost automorphic) processes in distribution. We establish some interesting results on the functional space of such processes like an composition theorems. Next, under some suitable assumptions, we establish the existence, the uniqueness and the stability of the square-mean almost automorphic solutions in distribution to a class of abstract stochastic evolution equations driven by Lévy noise in case...

Almost automorphic solutions of neutral functional differential equations.

Mophou, Gisèle M., N'Guérékata, Gaston M. (2010)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Almost automorphic solutions to abstract fractional differential equations.

Ding, Hui-Sheng, Liang, Jin, Xiao, Ti-Jun (2010)

Advances in Difference Equations [electronic only]

Almost automorphy of semilinear parabolic evolution equations.

Baroun, Mahmoud, Boulite, Said, N'guerekata, Gaston M., Maniar, Lahcen (2008)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Almost Everywhere Convergence of Riesz-Raikov Series

Ai Fan (1995)

Colloquium Mathematicae

Let T be a d×d matrix with integer entries and with eigenvalues >1 in modulus. Let f be a lipschitzian function of positive order. We prove that the series $\sum_{n = 1}^{\infty} c_{n} f (T^{n} x)$ converges almost everywhere with respect to Lebesgue measure provided that $\sum_{n = 1}^{\infty} {| c_{n} |}^{2} l o g^{2} n < \infty$ .

Almost everywhere convergence of some summabillity methods for Laguerre series

Jolanta Długosz (1985)

Studia Mathematica

Almost everywhere convergence of the inverse Jacobi transform and endpoint results for a disc multiplier

Troels Roussau Johansen (2011)

Studia Mathematica

The maximal operator S⁎ for the spherical summation operator (or disc multiplier) $S_{R}$ associated with the Jacobi transform through the defining relation $\hat{S_{R} f} (λ) = 1_{| λ | \leq R} f ̂ (t)$ for a function f on ℝ is shown to be bounded from $L^{p} (ℝ ₊, d μ)$ into $L^{p} (ℝ, d μ) + L ² (ℝ, d μ)$ for (4α + 4)/(2α + 3) < p ≤ 2. Moreover S⁎ is bounded from $L^{p ₀, 1} (ℝ ₊, d μ)$ into $L^{p ₀, \infty} (ℝ, d μ) + L ² (ℝ, d μ)$ . In particular ${S_{R} f (t)}_{R > 0}$ converges almost everywhere towards f, for $f \in L^{p} (ℝ ₊, d μ)$ , whenever (4α + 4)/(2α + 3) < p ≤ 2.

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