A characterization of lines among Lipschitz graphs.
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Jean-Pierre Rosay, Lucien Chevalier (1996)
Mathematische Annalen
P. Wynn (1976)
Journal für die reine und angewandte Mathematik
Mitrovic, Dragisa (1982)
International Journal of Mathematics and Mathematical Sciences
S. Saitoh (1985)
Matematički Vesnik
Estrada, Ricardo (2002)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
Juan Bory-Reyes (2021)
Communications in Mathematics
In this note we establish a necessary and sufficient condition for solvability of the homogeneous Riemann boundary problem with infinity index on a rectifiable open curve. The index of the problem we deal with considers the influence of the requirement of the solutions of the problem, the degree of non-smoothness of the curve at the endpoints as well as the behavior of the coefficient at these points.
Berg, Christian (2001)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Kokilashvili, V., Paatashvili, V. (2002)
Georgian Mathematical Journal
Yu. I. Lyubich (2007)
Banach Center Publications
Bernard Bialecki (1990)
Numerische Mathematik
Joan Verdera (1992)
Publicacions Matemàtiques
In this note we present a simple proof of a recent result of Mattila and Melnikov on the existence of limε→0 ∫|ζ-z|>ε (ζ - z)-1dμ(ζ) for finite Borel measures μ in the plane.
Harutyunyan, A.V., Petrosyan, A.I (2005)
General Mathematics
Muhanna, Yusuf Abu, Yallaoui, El-Bachir (2004)
International Journal of Mathematics and Mathematical Sciences
Abu Muhanna, Y., Abu Muhanna, Yusuf (2004)
Southwest Journal of Pure and Applied Mathematics [electronic only]
Bracci, Filippo, Contreras, Manuel D., Díaz-Madrigal, Santiago (2008)
Annales Academiae Scientiarum Fennicae. Mathematica
Albrecht Böttcher, Sergei M. Grudsky, Enrique Ramírez de Arellano (2004)
Revista Matemática Iberoamericana
This paper is devoted to Banach algebras generated by Toeplitz operators with strongly oscillating symbols, that is, with symbols of the form b[eia(x)] where b belongs to some algebra of functions on the unit circle and a is a fixed orientation-preserving homeomorphism of the real line onto itself. We prove the existence of certain interesting homomorphisms and establish conditions for the normal solvability, Fredholmness, and invertibility of operators in these algebras.
Ou, Biao (2003)
International Journal of Mathematics and Mathematical Sciences
Björn Gustafsson, Mihai Putinar (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
P. Midy, Y. Yakovlev (1979)
Numerische Mathematik
P. Midy (1975/1976)
Numerische Mathematik
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