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Subjects
30-XX Functions of a complex variable
30Fxx Riemann surfaces
30F35 Fuchsian groups and automorphic functions

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Failure of averaging on multiply connected domains

David E. Barrett (1990)

Annales de l'institut Fourier

We show that for every open Riemann surface $X$ with non-abelian fundamental group there is a multiple-valued function $f$ on $X$ such that the fiberwise convex hull of the graph of $f$ fails to contain the graph of a single-valued holomorphic function on $X$ .

Finite spanning sets for cusp forms and a related geometric result.

Svetlana Katok (1989)

Journal für die reine und angewandte Mathematik

Finitely generated fuchsian groups.

N.Th. Varopoulos (1987)

Journal für die reine und angewandte Mathematik

Formes automorphes associées aux cycles géodésiques des surfaces de Riemann hyperboliques

Paul Gérardin (1980/1981)

Séminaire Bourbaki

Fourier coefficients of the resolvent for a Fuchsian group.

John D. Fay (1977)

Journal für die reine und angewandte Mathematik

Fractals and the base eigenvalue of the Laplacian on certain noncompact surfaces.

Baragar, Arthur (2006)

Experimental Mathematics

Fuchsian groups and uniformization of Hurwitz spaces.

S. M. Natanzon (1999)

Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales

Fuchssche Gruppen, die freies Produkt zweier zyklischer Gruppen sind, und die Gleichung x2 + y2 + z2 = xyz.

Gerhard Rosenberger (1972)

Mathematische Annalen

Fundamental domains for finitely generated Kleinian groups.

Troels Jorgensen, Alan F. Beardon (1975)

Mathematica Scandinavica

Fundmental Regions and the Type Problem for a Riemann Surface.

Peter J. Nicholls (1980)

Mathematische Zeitschrift

Currently displaying 1 – 10 of 10

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