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We describe a new method for constraining Laplacian spectra of hyperbolic surfaces and 2-orbifolds.
“Scaling the semidefinite program solver SDPB”, 2019
Walter Landry and David Simmons-Duffin · 1909
Earlier work this paper cites.
“Some Remarks on Discontinuous Groups”
Carl Siegel · 1945
Earlier work this paper cites.
“Irreducible Unitary Representations of the Lorentz Group”
V. Bargmann · 1947
Earlier work this paper cites.
“On normal subgroups with finite index in F F -groups”
Svend Bundgaard and Jakob Nielsen · 1951
Earlier work this paper cites.
“On Fenchel’s conjecture about F F -groups”
Ralph. Fox · 1952
Earlier work this paper cites.
“On discontinuous groups in higher-dimensional symmetric spaces”
Atle Selberg · 1960
Earlier work this paper cites.
“Spaces of vector valued real analytic functions”
J. Barros-Neto · 1964
Earlier work this paper cites.
“On the estimation of Fourier coefficients of modular forms”
Atle Selberg · 1965
Earlier work this paper cites.
“Problems in the theory of automorphic forms”
R.. Langlands · 1970
Earlier work this paper cites.
“Harmonic analysis on semi-simple Lie groups. I”, Die Grundlehren der mathematischen Wissenschaften, Band 188
Garth Warner · 1972
Earlier work this paper cites.
“Tensor representations of conformal algebra and conformally covariant operator product expansion”
S. Ferrara, A.. Grillo and R. Gatto · 1973
Earlier work this paper cites.
“Nonhamiltonian approach to conformal quantum field theory”
A.. Polyakov · 1974
Earlier work this paper cites.
“Automorphic Forms on Adele Groups”
Stephen. Gelbart · 1975
Earlier work this paper cites.
“On the spectrum of the Laplace operator on compact Riemann surfaces”
Heinz Huber · 1980
Earlier work this paper cites.
“Geometric bounds on the low eigenvalues of a compact surface”
R. Schoen, S. Wolpert and S.. Yau · 1980
Earlier work this paper cites.
“Eigenvalues of the Laplacian of compact Riemann surfaces and minimal submanifolds”
Paul. Yang and Shing Yau · 1980
Earlier work this paper cites.
“A note concerning Fox’s paper on Fenchel’s conjecture”
T.. Chau · 1983
Earlier work this paper cites.
“Le volume conforme et ses applications d’après Li et Yau”
A. El and S. Ilias · 1984
Earlier work this paper cites.
“On the uniformization of the n n -punctured sphere”
Joachim. Hempel · 1988
Earlier work this paper cites.
“Integrals of products of eigenfunctions”
Peter Sarnak · 1994
Earlier work this paper cites.
“Modular forms and differential operators” K. G. Ramanathan memorial issue
Don Zagier · 1994
Earlier work this paper cites.
“Structure constants and conformal bootstrap in Liouville field theory”
Alexander. Zamolodchikov and Alexei. Zamolodchikov · 1996
Earlier work this paper cites.
“Seeley’s Theory of Pseudodifferential Operators on Orbifolds”, 1999
Bogdan Bucicovschi · 1999
Earlier work this paper cites.
“Continuous cohomology, discrete subgroups, and representations of reductive groups” 67
A. Borel and N. Wallach · 2000
Cited alongside, same era.
“Theory of Bergman spaces” 199
Haakan Hedenmalm, Boris Korenblum and Kehe Zhu · 2000
Cited alongside, same era.
“Scaling limits of loop-erased random walks and uniform spanning trees”
Oded Schramm · 2000
Cited alongside, same era.
“Representation theory of semisimple groups” An overview based on examples, Reprint of the 1986 original, Princeton Landmarks in Mathematics
Anthony. Knapp · 2001
Cited alongside, same era.
“Critical percolation in the plane: conformal invariance, Cardy’s formula, scaling limits”
Stanislav Smirnov · 2001
Cited alongside, same era.
“New upper bounds on sphere packings. I”
Henry Cohn and Noam Elkies · 2003
“Generalized functions. Vol. 6” Representation theory and automorphic functions, Translated from the 1966 Russian original [ MR0220673] by K. A. Hirsch, Reprint of the 1969 English translation [ MR0233772]
I.. Gelfand, M.. Graev and I.. Pyatetskii-Shapiro · 2016
Later among the works it cites.
“Precision islands in the Ising and O(N) models”
Filip Kos, David Poland, David Simmons-Duffin and Alessandro Vichi · 2016
Later among the works it cites.
“The sphere packing problem in dimension 24”
Henry Cohn et al · 2017
Later among the works it cites.
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Dalimil Mazac · 2017
Later among the works it cites.
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David Simmons-Duffin · 2017
Later among the works it cites.
“The sphere packing problem in dimension 8 8 ”
Maryna Viazovska · 2017
Later among the works it cites.
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Cited alongside, same era.
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