Differential operators and spectral distributions of invariant ensembles from the classical orthogonal polynomials: the discrete case.
Differential operators and spectral distributions of invariant ensembles from the classical orthogonal polynomials. The continuous case.
Differential operators of gradient type associated with spherical harmonics
Différentielles non commutatives et théorie de Galois différentielle ou aux différences
Dilogarithm identities for sine-Gordon and reduced sine-Gordon Y-systems.
Dimension algébrique de sous-groupes analytiques de variétés de groupe
Soient une variété de groupe définie sur le corps des nombres algébriques, et un sous-groupe à paramètres de , de dimension algébrique . Nous nous proposons de majorer le rang (sur ) des sous-groupes de dont l’image par est contenue dans le groupe des points algébriques de .E. Bombieri et S. Lang ont déjà obtenu de telles majorations, en supposant que les points de sont très bien distribués : pour , on a pour des variétés linéaires, et pour des variétés abéliennes .Nous...
Discrepancy convergence for the Drunkard's walk on the sphere.
Discrete Analogues of the Heisenberg-Weyl Algebra.
Discrete approximation of the solution of the Dirichlet problem by discrete means.
Discrete Laguerre functions and equilibrium conditions.
Discrete orthogonality of Zernike functions.
Discretized representations of harmonic variables by bilateral Jacobi operators.
Dispersive and Strichartz estimates on H-type groups
Our purpose is to generalize the dispersive inequalities for the wave equation on the Heisenberg group, obtained in [1], to H-type groups. On those groups we get optimal time decay for solutions to the wave equation (decay as ) and the Schrödinger equation (decay as ), p being the dimension of the center of the group. As a corollary, we obtain the corresponding Strichartz inequalities for the wave equation, and, assuming that p > 1, for the Schrödinger equation.
Distribution of LRC for testing sphericity of a complex multivariate Gaussian model.
Distributions of truncations of the heat kernel on the complex projective space
Let be a Brownian motion valued in the complex projective space . Using unitary spherical harmonics of homogeneous degree zero, we derive the densities of and of , and express them through Jacobi polynomials in the simplices of and respectively. More generally, the distribution of may be derived using the decomposition of the unitary spherical harmonics under the action of the unitary group yet computations become tedious. We also revisit the approach initiated in [13] and based on...
Divisors, partitions and some new q-series identities
We obtain new q-series identities that have interesting interpretations in terms of divisors and partitions. We present a proof of a theorem of Z. B. Wang, R. Fokkink, and W. Fokkink, which follows as a corollary to our main q-series identity, and offer a similar result.
Dixon's formula and identities involving harmonic numbers.
Dos sistemas adicionales de polinomios relacionados con los polinomios de Pollaczek
Double affine Hecke algebras of rank 1 and the -symmetric Askey-Wilson relations.
Double exponential estimate for the number of zeros of complete Abelian integrals and rational envelopes of linear ordinary differential equations with an irreducible monodromy group.