ISSN:0278-1077    

DOI:10.1080/17476939608814861

出版商:Gordon and Breach Science Publishers    

年代:1996

数据来源: Taylor

摘要:

We describe, via the Fantappi[cgrave] transform, analytic functionals on spaces of functions holomorphic in bounded weakly lineally convex domains ofCnhaving either prescribed behaviour near the boundary or given boundary smoothness. As an application of the obtained results, a possibility of representation of functions from these spaces by series of rational fractions is studied.

ISSN:0278-1077    

DOI:10.1080/17476939608814862

出版商:Gordon and Breach Science Publishers    

年代:1996

数据来源: Taylor

摘要:

The present paper in devoted to the proof of the theorem on conformal gluing for the Haseman boundary value problem on an open arc. The application of this theorem to the computation of defect numbers of the Kveselava–Vekua singular integral operator is included.

ISSN:0278-1077    

DOI:10.1080/17476939608814863

出版商:Gordon and Breach Science Publishers    

年代:1996

数据来源: Taylor

摘要:

We establish several versions of a global implicit function theorem for holomorphic mappings in Banach spaces under invariance and flow invariance conditions. We then use these results to study the stationary points of one-parameter nonlinear semigroups with holomorphic generators.

ISSN:0278-1077    

DOI:10.1080/17476939608814864

出版商:Gordon and Breach Science Publishers    

年代:1996

数据来源: Taylor

摘要:

By the Poisson integral formula, each self-homeomorphism of the unit circle extends to a complex-valued harmonic function that maps the unit disc onto itself. The Radó–Kneser–Choquet theorem guarantees the injectivity of this harmonic extension. We show that this result fails inRnn≥3, by constructing a self-homeomorphism of the sphere whose harmonic extension fails to be injective. Even worse, this homeomorphism can be chosen arbitrarily close to the identity in the uniform norm. The homeomorphism provides also an example of a non-injective conformally natural extension. The question of injectivity remains open for pluriharmonic extensions inCn.

ISSN:0278-1077    

DOI:10.1080/17476939608814865

出版商:Gordon and Breach Science Publishers    

年代:1996

数据来源: Taylor

摘要:

We give a version of the distortion theorem for biholomorphic mappings between the unit polydisc and convex domains in the space of n complex variables.

ISSN:0278-1077    

DOI:10.1080/17476939608814866

出版商:Gordon and Breach Science Publishers    

年代:1996

数据来源: Taylor

摘要:

Exploiting the relation between the classical Fibonacci polynomials {Fn(z)} and a certain weighted Faber polynomials {Bn(z,g)} associated with a domainEin complex plane and a weight functiong(z), we defineweighted Fibonacci polynomialsin complex domain. Applying fundamental properties of weighted Faber polynomials, we extend basic properties of Fibonacci polynomials to complex plane. Using potential theoretic methods, we determine the asymptotic distribution of the zeros of the weighted Fibonacci polynomials.

ISSN:0278-1077    

DOI:10.1080/17476939608814867

出版商:Gordon and Breach Science Publishers    

年代:1996

数据来源: Taylor

ISSN:0278-1077    

DOI:10.1080/17476939608814860

出版商:Gordon and Breach Science Publishers    

年代:1996

数据来源: Taylor