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Displaying 201 – 220 of 366

The monogenic functional calculus

Brian Jefferies, Alan McIntosh, James Picton-Warlow (1999)

Studia Mathematica

A study is made of a symmetric functional calculus for a system of bounded linear operators acting on a Banach space. Finite real linear combinations of the operators have real spectra, but the operators do not necessarily commute with each other. Analytic functions of the operators are formed by using functions taking their values in a Clifford algebra.

The multiplicity of the zero at 1 of polynomials with constrained coefficients

Peter Borwein, Tamás Erdélyi, Géza Kós (2013)

Acta Arithmetica

For n ∈ ℕ, L > 0, and p ≥ 1 let $κ_{p} (n, L)$ be the largest possible value of k for which there is a polynomial P ≠ 0 of the form $P (x) = \sum_{j = 0}^{n} a_{j} x^{j}$ , $| a_{0} | \geq L (\sum_{j = 1}^{n} | a_{j} |^{p}$ 1/p $,$ aj ∈ ℂ $,$ such that ${(x - 1)}^{k}$ divides P(x). For n ∈ ℕ and L > 0 let $κ_{\infty} (n, L)$ be the largest possible value of k for which there is a polynomial P ≠ 0 of the form $P (x) = \sum_{j = 0}^{n} a_{j} x^{j}$ , $| a_{0} | \geq L m a x_{1 \leq j \leq n} | a_{j} |$ , $a_{j} \in ℂ$ , such that ${(x - 1)}^{k}$ divides P(x). We prove that there are absolute constants c₁ > 0 and c₂ > 0 such that $c_{1} \sqrt (n / L) - 1 \leq κ_{\infty} (n, L) \leq c_{2} \sqrt (n / L)$ for every L ≥ 1. This complements an earlier result of the authors valid for every n ∈ ℕ and L ∈ (0,1]. Essentially...

The multiplier-series of a Schottky group.

J. Büser (1996)

Mathematische Zeitschrift

The n -Point Condition and Rough CAT(0)

Stephen M. Buckley, Bruce Hanson (2013)

Analysis and Geometry in Metric Spaces

We show that for n ≥ 5, a length space (X; d) satisfies a rough n-point condition if and only if it is rough CAT(0). As a consequence, we show that the class of rough CAT(0) spaces is closed under reasonably general limit processes such as pointed and unpointed Gromov-Hausdorff limits and ultralimits.

The Nevanlinna Matrix of Entire Functions Associated with a Shifted Indeterminate Hamburger Moment Problem.

Henrik L. Pedersen (1994)

Mathematica Scandinavica

The nilpotent part and distinguished form of resonant vector fields or diffeomorphisms

J. Ecalle, D. Schlomiuk (1993)

Annales de l'institut Fourier

The number of connected components of certain real algebraic curves.

Kim, Seon-Hong (2001)

International Journal of Mathematics and Mathematical Sciences

The Numerical Evaluation of Hadamard Finite-part Integrals.

D.F. Paget (1980/1981)

Numerische Mathematik

The numerical range of Toeplitz operator on the polydisk.

Gu, Dinggui (2009)

Abstract and Applied Analysis

The order of normality and meromorphic univalent functions

Shinji Yamashita (1981)

Colloquium Mathematicae

The outside of the Teichmüller space of punctured tori in Maskit's embedding.

Parkkonen, Jouni (1999)

Annales Academiae Scientiarum Fennicae. Mathematica

The √p Riemann surface

Mark Sheingorn (1993)

Acta Arithmetica

The p-adic differential equation y' = wy in the closed unit disk.

Alain Escassut, Marie-Claude Sarmant (1990)

Collectanea Mathematica

The Paley-Wiener-Levinson theorem revisited.

García, A.G. (1997)

International Journal of Mathematics and Mathematical Sciences

The Pick version of the Schwarz lemma and comparison of the Poincaré densities.

Yamashita, Shinji (1994)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

The Poisson Boundary of the Mapping Class Group and of Teichmüller Space

Vadim A. Kaimanovich, Howard Masur (1994)

Publications mathématiques et informatique de Rennes

The Poisson extension of K -quasihomography on the unit circle

Jan Stankiewicz, Katarzyna Wilczek (2011)

Annales UMCS, Mathematica

In this paper some estimates for the Poisson extension of a K-quasihomography on the unit circle are given.

The practical determination of the deficiency (Geschlecht) and adjoint ... curves for a Riemann surface

H.F. Baker (1894)

Mathematische Annalen

The projective limit of the $H^{p}$ spaces

J. A. Cima, J. R. Harrington, J. A. Pfaltzgraff (1977)

Colloquium Mathematicae

The p-Royden and p-Harmonic Boundaries for Metric Measure Spaces

Marcello Lucia, Michael J. Puls (2015)

Analysis and Geometry in Metric Spaces

Let p be a real number greater than one and let X be a locally compact, noncompact metric measure space that satisfies certain conditions. The p-Royden and p-harmonic boundaries of X are constructed by using the p-Royden algebra of functions on X and a Dirichlet type problem is solved for the p-Royden boundary. We also characterize the metric measure spaces whose p-harmonic boundary is empty.

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