Alvaro Alvarez-Parrilla

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Following Wolpert, we find a set of asymptotic relations among the Fourier coefficients of real-analytic Eisenstein series. The relations are found by evaluating the integral of the product of an Eisenstein series φir with an exponential factor along a horocycle. We evaluate the integral in two ways by exploiting the automorphicity of φir ; the first of(More)
An explicit construction of a geodesic flow-invariant distribution lying in the discrete series of weight 2k isotopic component is found, using techniques from representation theory of SL2(R). It is found that the distribution represents an AC measure on the unit tangent bundle of the hyperbolic plane minus an explicit singular set. Finally, via an(More)
1 Facultad de Ciencias, Universidad Autónoma de Baja California, Km. 103 Carretera Tijuana-Ensenada, 22860 Ensenada, BC, Mexico 2 Grupo Alximia SA de CV, Departamento de Investigación, Ryerson 1268, Zona Centro, 22800 Ensenada, BC, Mexico 3 Departamento de Matemáticas, Universidad de Sonora, 83000 Hermosillo, SON, Mexico 4 División Multidisciplinaria de la(More)
An explicit construction of a geodesic flow-invariant distribution lying in the discrete series of weight 2k isotopic component is found, using techniques from representation theory of SL2(R). It is found that the distribution represents an AC measure on the unit tangent bundle of the hyperbolic plane minus an explicit singular set. Finally, via an(More)
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