Titlebook: Approximation by Solutions of Partial Differential Equations; B. Fuglede,M. Goldstein,L. Rogge Book 1992 Springer Science+Business Media D

Loathe

Characterizations of Balls and Strips via Harmonic Quadrature,Two separate but related topics are discussed.

gustation

Uniform Approximation by Global Harmonic Functions,We review the theory of uniform approximation of functions on closed subsets of Riemann surfaces by global holomorphic functions. We then study in detail the analogous problem of uniform approximation by global harmonic functions on Riemann surfaces or Riemannian manifolds.

sleep-spindles

Boundary Correspondence of Univalent Harmonic Mappings from the Unit Disc onto a Jordan Domain,Some recent results on boundary behaviour of univalent harmonic mappings are presented.

consolidate

Rational Approximation to the Fresnel Integral,We consider the function.The right hand term defines .(.) as an entire function. This function has been considered by many authors. We refer in particular to the monograph by Barkley Rosser [2, referred to hereafter as BR].

暂时过来

Hyperalgesia

gerrymander

Harmonicity Modulus and Applications to the Approximation by Polyharmonic Functions,In the present paper we introduce the notion of harmonicity modulus and harmonicity .-functional and apply these notions to prove a Jackson type theorem for approximation of continuous functions by polyharmonic functions. For corresponding results on approximation by polynomials see [3, 7].

CANON

A Comparison of Harmonic and Maximal Measures for Rational Functions,Let . be a Cantor repeller of a rational map .. We prove that the harmonic measure on . is absolutely continuous with respect to the measure of maximal entropy . if and only if . is conformally equivalent to a polynomial. The same is true in the case of any hyperbolic rational map.

一小块

On the Existence-Problem for Gauss-Quadrature on the Sphere,The existence problem for Gauß-quadrature rules on the sphere, which is related to the existence problem of tight spherical designs, is treated here by strictly interpolatory methods. This yields a deeper insight into the structure of a possible Gauß-quadrature rule.

Crohns-disease

A Bibliographic Survey of the Pompeiu Problem,A compact set . ⊂ ℝ. is said to have the . (PP) if the only function .∊.(ℝ.) satisfyingfor all rigid motions . of ℝ.is. ≡ 0. A collection ., of compact sets in ℝ. has (PP) if whenever . ∊ .(ℝ.) and (1) holds for all . ∊ . (and all rigid motions .) it follows that . ≡ 0.