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Displaying 81 – 100 of 246

Poisson-like kernels in tube domains over light-cones

Gustavo Garrigós (2002)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

A family of holomorphic function spaces can be defined with reproducing kernels $B_{α} (z, w)$ , obtained as real powers of the Cauchy-Szegö kernel. In this paper we study properties of the associated Poisson-like kernels: $P_{α} (z, w) = {|B_{α} (z, w)|}^{2} / B_{α} (z, z)$ . In particular, we show boundedness of associated maximal operators, and obtain formulas for the limit of Poisson integrals in the topological boundary of the cone.

Polar Curves and Intersection Matrices of Singularities.

A.M. Gabrielov (1979)

Inventiones mathematicae

Polar quotients and singularities at infinity of polynomials in two complex variables

Arkadiusz Płoski (2002)

Annales Polonici Mathematici

Using the notion of the maximal polar quotient we characterize the critical values at infinity of polynomials in two complex variables. As an application we give a necessary and sufficient condition for a family of affine plane curves to be equisingular at infinity.

Polarized Mixed Hodge Structures and the Local Monodromy of a Variation of Hodge Structure.

Eduardo Cattani, Aroldo Kaplan (1982)

Inventiones mathematicae

Pole order filtration on the cohomology of algebraic links

Yakov Karpishpan (1991)

Compositio Mathematica

Poles of a local zeta function and Newton polygons

Ben Lichtin, Diane Meuser (1985)

Compositio Mathematica

Polya's theorem for non-entire functions

Yoshino, Kunio (1984)

Proceedings of the 11th Winter School on Abstract Analysis

Polycircular and semi-tubular domains in normed spaces.

Irineu Salles Batarce (1986)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

Polydisc slicing in $ℂ^{n}$

Krzysztof Oleszkiewicz, Aleksander Pełczyński (2000)

Studia Mathematica

Let D be the unit disc in the complex plane ℂ. Then for every complex linear subspace H in $ℂ^{n}$ of codimension 1, $v o l_{2 n - 2} (D^{n - 1}) \leq v o l_{2 n - 2} (H \cap D^{n}) \leq 2 v o l_{2 n - 2} (D^{n - 1})$ . The lower bound is attained if and only if H is orthogonal to the versor $e_{j}$ of the jth coordinate axis for some j = 1,...,n; the upper bound is attained if and only if H is orthogonal to a vector $e_{j} + σ e_{k}$ for some 1 ≤ j < k ≤ n and some σ ∈ ℂ with |σ| = 1. We identify $ℂ^{n}$ with $ℝ^{2 n}$ ; by $v o l_{k} (\cdot)$ we denote the usual k-dimensional volume in $ℝ^{2 n}$ . The result is a complex counterpart of Ball’s [B1] result for...

Polydiscs in Complex Manifolds.

Fornaess John Eric, Edgar Lee Stout (1977)

Mathematische Annalen

Polyèdre de Newton et distribution f... +. II.

Jan Denef, Patrick Sargos (1992)

Mathematische Annalen

Polyèdre de Newton et genre géométrique d'une singularité intersection complète

Marcel Morales (1984)

Bulletin de la Société Mathématique de France

Polyèdre de Newton, éventails et désingularisation, d'après A. N. Varchenko

M. Merle (1976/1977)

Séminaire sur les singularités des surfaces

Polynôme d'Alexander à l'infini d'un polynôme à deux variables.

Enrique Artal Bartolo, Pierrette Cassou-Noguès (2000)

Revista Matemática Complutense

In this work, we compute the Alexander invariants at infinity of a complex polynomial in two variables by means of its resolution and also by means of the Eisenbud-Neumann diagram of the generic link at infinity of the polynomial.

Polynomerzeugende bei einer Klasse von Differentialgleichungen mit zwei unabhängigen Variablen.

H. Florian, G. Jank (1971)

Monatshefte für Mathematik

Polynômes de Bernstein associés à une fonction sur une intersection complète à singularité isolée

Tristan Torrelli (2002)

Annales de l’institut Fourier

Nous montrons comment calculer des équations fonctionnelles du type de Bernstein associées à une fonction et aux sections du module de cohomologie locale algébrique à support une intersection complète quasi-homogène à singularité isolée.

Polynômes de Bernstein et monodromie

Jean-Michel Bony (1974/1975)

Séminaire Bourbaki

Polynômes de Bernstein-Sato à plusieurs variables

C. Sabbah (1986/1987)

Séminaire Équations aux dérivées partielles (Polytechnique)

Polynômes de Bernstein-Sato associés à une intersection complète quasi-homogène à singularité isolée

Hélène Maynadier (1997)

Bulletin de la Société Mathématique de France

Polynomial bounds for the oscillation of solutions of Fuchsian systems

Gal Binyamini, Sergei Yakovenko (2009)

Annales de l’institut Fourier

We study the problem of placing effective upper bounds for the number of zeroes of solutions of Fuchsian systems on the Riemann sphere. The principal result is an explicit (non-uniform) upper bound, polynomially growing on the frontier of the class of Fuchsian systems of a given dimension $n$ having $m$ singular points. As a function of $n, m$ , this bound turns out to be double exponential in the precise sense explained in the paper.As a corollary, we obtain a solution of the so-called restricted infinitesimal...

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