-adic analysis and Bell numbers of two variables. (Analyse -adique et nombres de Bell à deux variables.)
-adic analytic interpolation
-valent meromorphic functions with alternating coefficients based on integral operator.
Padé approximants in complex points revisited.
Padé approximations to certain power series.
Painlevé null sets, dimension and compact embedding of weighted holomorphic spaces
We obtain, in terms of associated weights, natural criteria for compact embedding of weighted Banach spaces of holomorphic functions on a wide class of domains in the complex plane. Our study is based on a complete characterization of finite-dimensional weighted spaces and canonical weights for them. In particular, we show that for a domain whose complement is not a Painlevé null set each nontrivial space of holomorphic functions with O-growth condition is infinite-dimensional.
Painlevé's problem and analytic capacity.
In this paper we survey some recent results in connection with the so called Painlevé's problem and the semiadditivity of analytic capacity γ. In particular, we give the detailed proof of the semiadditivity of the capacity γ+, and we show almost completely all the arguments for the proof of the comparability between γ and γ+.
Pairs of Clifford algebras of the Hurwitz type
For a given Hurwitz pair the existence of a bilinear mapping (where and ) denote the Clifford algebras of the quadratic forms and , respectively) generated by the Hurwitz multiplication “o” is proved and the counterpart of the Hurwitz condition on the Clifford algebra level is found. Moreover, a necessary and sufficient condition for "⭑" to be generated by the Hurwitz multiplication is shown.
Pairs of paths and critical points.
Pairs of symmetries of Riemann surfaces.
Parabolic bundles, elliptic surfaces and SU (2)-representation spaces of genus zero Fuchsian groups.
Parameter Tuning and Repeated Application of the IMT-type Transformation in Numerical Quadrature.
Parameterizations of algebraic curves.
Parametrization of Möbius groups acting in a disk.
Parametrization of reflection groups acting in a disk.
Parametrization of the moduli space of hyperelliptic and symmetric Riemann surfaces.
Parity of the spin structure defined by a quadratic differential.
Partial sums of certain analytic and univalent functions.
Partial sums of certain analytic functions.
Partial sums of certain meromorphic functions.