Calcul des résidus en analyse -adique
Canonical bases for -modules of spherical monogenics in dimension 3
Spaces of homogeneous spherical monogenics in dimension 3 can be considered naturally as -modules. As finite-dimensional irreducible -modules, they have canonical bases which are, by construction, orthogonal. In this note, we show that these orthogonal bases form the Appell system and coincide with those constructed recently by S. Bock and K. Gürlebeck in [3]. Moreover, we obtain simple expressions of elements of these bases in terms of the Legendre polynomials.
Carleson measure and monogenic functions
We present necessary and sufficient conditions for a measure to be a p-Carleson measure, based on the Poisson and Poisson-Szegő kernels of the n-dimensional unit ball.
Casoratien et équations aux différences -adiques
Dans cet article, nous démontrons une inégalité liant la croissance d’un casoratien généralisé de séries entières -adique à la croissance du casoratien ordinaire de ces séries entières. Il en résulte que si le casoratien de fonctions entières -adiques est un polynôme non nul, alors toutes ces fonctions sont des polynômes. Comme application, nous montrons que si une équation aux différences linéaire d’ordre à coefficients dans a solutions méromorphes dans tout , linéairement indépendantes...
Cauchy-Kowalewski extension theorems and representations of analytic functionals acting over special classes of real n-dimensional submanifolds of
Cauchy-Kowalewski theorems in Clifford analysis : a survey
Cauchy-Szegö integrals for systems of harmonic functions
Change of Variables in a Multiple Integral for Local Fields.
Characterization of the collapsing meromorphic products.
Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space.
Clifford analysis approach to a self-conjugate Cauchy type integral on Ahlfors regular surfaces
In this note, based on a natural isomorphism between the spaces of differential forms and Clifford algebra-valued multi-vector functions, the Cauchy type integral for self-conjugate differential forms in ℝⁿ is considered.
Clifford and harmonic analysis on cylinders and torii.
Cotangent type functions in Rn are used to construct Cauchy kernels and Green kernels on the conformally flat manifolds Rn/Zk where 1 < = k ≤ M. Basic properties of these kernels are discussed including introducing a Cauchy formula, Green's formula, Cauchy transform, Poisson kernel, Szegö kernel and Bergman kernel for certain types of domains. Singular Cauchy integrals are also introduced as are associated Plemelj projection operators. These in turn are used to study Hardy spaces in this...
Clifford-Hermite Wavelets in Euclidean Space.
Clifford-Hermite-monogenic operators
In this paper we consider operators acting on a subspace of the space of square integrable functions and, in particular, Clifford differential operators with polynomial coefficients. The subspace is defined as the orthogonal sum of spaces of specific Clifford basis functions of . Every Clifford endomorphism of can be decomposed into the so-called Clifford-Hermite-monogenic operators. These Clifford-Hermite-monogenic operators are characterized in terms of commutation relations and they...
Cluster sets of analytic multivalued functions
Classical theorems about the cluster sets of holomorphic functions on the unit disc are extended to the more general setting of analytic multivalued functions, and examples are given to show that these extensions cannot be improved.
Common multiples of operator polynomials with analytic coefficients.
Complex analysis methods in the theory of infinitesimal bendings of surfaces with a flat point.
Complex interpolation for Banach spaces