Dissolving a cusp form in the presence of multiplicities
C. M. Judge and R. S. Phillips
Source: Duke Math. J. Volume 88, Number 2
(1997), 267-280.
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Mathematical Reviews number (MathSciNet): MR1455520
Zentralblatt MATH identifier: 0924.11040
Digital Object Identifier: doi:10.1215/S0012-7094-97-08810-4
References
[C] Y. Colin de Verdière, Pseudo-laplaciens. II, Ann. Inst. Fourier (Grenoble) 33 (1983), no. 2, 87–113.
Mathematical Reviews (MathSciNet): MR84k:58222
Zentralblatt MATH: 0496.58016
[DIPS] J.-M. Deshouillers, H. Iwaniec, R. S. Phillips, and P. Sarnak, Maass cusp forms, Proc. Nat. Acad. Sci. U.S.A. 82 (1985), no. 11, 3533–3534.
Mathematical Reviews (MathSciNet): MR86m:11024
Zentralblatt MATH: 0566.10017
Digital Object Identifier: doi:10.1073/pnas.82.11.3533
JSTOR: links.jstor.org
[E]1 Erdélyi, A. and Magnus, W. and Oberhettinger, F. and Tricomi, F. G., eds., Higher Transcendental Functions. Based, in Part, on Notes Left by Harry Bateman, Vols. I, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1953.
Mathematical Reviews (MathSciNet): MR15,419i
Zentralblatt MATH: 0051.30303
[E]2 Erdélyi, A. and Magnus, W. and Oberhettinger, F. and Tricomi, F. G., eds., Higher Transcendental Functions. Based, in Part, on Notes Left by Harry Bateman, Vols. II, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1953.
Mathematical Reviews (MathSciNet): MR15,419i
Zentralblatt MATH: 0052.29502
[GHL] S. Gallot, D. Hulin, and J. Lafontaine, Riemannian geometry, Universitext, Springer-Verlag, Berlin, 1990.
Mathematical Reviews (MathSciNet): MR91j:53001
Zentralblatt MATH: 0716.53001
[J1] C. Judge, Univ. of Maryland, thesis, 1993.
[J2] C. Judge, On the existence of Maass cusp forms on hyperbolic surfaces with cone points, J. Amer. Math. Soc. 8 (1995), no. 3, 715–759.
Mathematical Reviews (MathSciNet): MR96b:11069
Zentralblatt MATH: 0846.11035
Digital Object Identifier: doi:10.2307/2152928
JSTOR: links.jstor.org
[K] T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag, Berlin, 1980.
Zentralblatt MATH: 0435.47001
[LP] P. Lax and R. S. Phillips, Scattering theory for automorphic functions, Princeton Univ. Press, Princeton, N.J., 1976.
Mathematical Reviews (MathSciNet): MR58:27768
Zentralblatt MATH: 0362.10022
[Le] N. N. Lebedev, Special functions and their applications, Dover Publications Inc., New York, 1972.
Mathematical Reviews (MathSciNet): MR50:2568
Zentralblatt MATH: 0271.33001
[Lu] W. Luo, On the nonvanishing of Rankin-Selberg $L$-functions, Duke Math. J. 69 (1993), no. 2, 411–425.
Mathematical Reviews (MathSciNet): MR93m:11040
Zentralblatt MATH: 0789.11032
Digital Object Identifier: doi:10.1215/S0012-7094-93-06918-9
Project Euclid: euclid.dmj/1077293575
[P] R. S. Phillips, Perturbation theory for twisted automorphic functions, Geom. Funct. Anal. 7 (1997), no. 1, 120–144.
Mathematical Reviews (MathSciNet): MR98f:11055
Zentralblatt MATH: 0871.11039
Digital Object Identifier: doi:10.1007/PL00001614
[PS1] R. S. Phillips and P. Sarnak, On cusp forms for co-finite subgroups of $\rm PSL (2,\bf R)$, Invent. Math. 80 (1985), no. 2, 339–364.
Mathematical Reviews (MathSciNet): MR86m:11037
Zentralblatt MATH: 0558.10017
Digital Object Identifier: doi:10.1007/BF01388610
[PS2] R. S. Phillips and P. Sarnak, Cusp forms for character varieties, Geom. Funct. Anal. 4 (1994), no. 1, 93–118.
Mathematical Reviews (MathSciNet): MR94k:11061
Zentralblatt MATH: 0804.11038
Digital Object Identifier: doi:10.1007/BF01898362
[Sa] P. Sarnak, On cusp forms, The Selberg trace formula and related topics (Brunswick, Maine, 1984), Contemp. Math., vol. 53, Amer. Math. Soc., Providence, RI, 1986, pp. 393–407.
Mathematical Reviews (MathSciNet): MR87j:11047
Zentralblatt MATH: 0618.10018
[Se] A. Selberg, 1954, Göttingen lectures.
[V] A. B. Venkov, Spectral Theory of Automorphic Functions and Its Applications, Mathematics and its Applications (Soviet Series), vol. 51, Kluwer Academic Publishers Group, Dordrecht, 1990.
Mathematical Reviews (MathSciNet): MR93a:11046
Zentralblatt MATH: 0719.11030
[W1]1 S. Wolpert, Spectral limits for hyperbolic surfaces. I, Invent. Math. 108 (1992), no. 1, 67–89.
Mathematical Reviews (MathSciNet): MR93b:58160
Zentralblatt MATH: 0772.11016
Digital Object Identifier: doi:10.1007/BF02100600
[W1]2 S. Wolpert, Spectral limits for hyperbolic surfaces. II, Invent. Math. 108 (1992), no. 1, 91–129.
Mathematical Reviews (MathSciNet): MR93b:58160
Zentralblatt MATH: 0772.11017
Digital Object Identifier: doi:10.1007/BF02100600
[W2] S. Wolpert, Disappearance of cusp forms in special families, Ann. of Math. (2) 139 (1994), no. 2, 239–291.
Mathematical Reviews (MathSciNet): MR95e:11062
Zentralblatt MATH: 0826.11024
Digital Object Identifier: doi:10.2307/2946582
JSTOR: links.jstor.org
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