Geodesic
Exotic approximate identities and Maass forms
Fernando Chamizo 1   ; Dulcinea Raboso 2   ; Serafín Ruiz-Cabello 3
1 Departamento de Matemáticas Universidad Autónoma de Madrid 28049 Madrid, Spain
2 Departamento de Matemáticas Universidad Autónoma de Madrid and ICMAT CSIC-UAM-UCM-UC3M 28049 Madrid, Spain
3 Universidad Autónoma de Madrid 28049 Madrid, Spain
Acta Arithmetica, Tome 159 (2013) no. 1, pp. 27-46 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We obtain some approximate identities whose accuracy depends on the bottom of the discrete spectrum of the Laplace–Beltrami operator in the automorphic setting and on the symmetries of the corresponding Maass wave forms. From the geometric point of view, the underlying Riemann surfaces are classical modular curves and Shimura curves.
DOI : 10.4064/aa159-1-2
Keywords: obtain approximate identities whose accuracy depends bottom discrete spectrum laplace beltrami operator automorphic setting symmetries corresponding maass wave forms geometric point view underlying riemann surfaces classical modular curves shimura curves

Fernando Chamizo  1   ; Dulcinea Raboso  2   ; Serafín Ruiz-Cabello  3

1 Departamento de Matemáticas Universidad Autónoma de Madrid 28049 Madrid, Spain
2 Departamento de Matemáticas Universidad Autónoma de Madrid and ICMAT CSIC-UAM-UCM-UC3M 28049 Madrid, Spain
3 Universidad Autónoma de Madrid 28049 Madrid, Spain 
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     title = {Exotic approximate identities and {Maass} forms},
     journal = {Acta Arithmetica},
     pages = {27--46},
     year = {2013},
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Fernando Chamizo; Dulcinea Raboso; Serafín Ruiz-Cabello. Exotic approximate identities and Maass forms. Acta Arithmetica, Tome 159 (2013) no. 1, pp. 27-46. doi: 10.4064/aa159-1-2

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