Holomorphic extension of locally holder functions

• Autorzy: Rusev P.
• Języki publikacji: EN

Abstrakty

EN

Let γ be a smooth Jordan curve in the extended complex plane passing trough the point at infinity. In the paper are given sufficiently conditions under which a complex function defined on γ admits a holomorphic extensions into a region complementary to γ.

Słowa kluczowe

EN

holomorphic functions; Holder functions; orthogonal polynomials

PL

funkcje holomorficzne

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 2
• Strony: 335--342
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Rusev P.

• Bulgarian Academy of Sciences, Institute of Mathematics and Informatics, Acad. G. Bonchev Srt., Bl. 8 1113 Sofia, Bulgaria

Bibliografia

• [1] A. Hurwitz, R. Courant, Theory of Functions, Moscow, 1968 (Russian).
• [2] I. P. Natanson, Constructive Theory of Functions, Moscow, 1949 (Russian).
• [3] I. I. Privalov, Introduction to the theory of functions of a complex variable, Moscow, 1948 (Russian).
• [4] P. Rusev, Analytic functions and classical orthogonal polynomials, Sofia, 1984.
• [5] G. Szegö, Orthogonal polynomials, Providence, 1939.