Hyperbolic distribution problems and half-integral weigth Maass forms.
W. Duke (1988)
Inventiones mathematicae
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W. Duke (1988)
Inventiones mathematicae
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Michael Ruzhansky (2003)
Banach Center Publications
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In this paper we will give a brief survey of recent regularity results for Fourier integral operators with complex phases. This will include the case of real phase functions. Applications include hyperbolic partial differential equations as well as non-hyperbolic classes of equations. An application to an oblique derivative problem is also given.
Anton Good (1983)
Mathematische Zeitschrift
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R.W. Bruggeman (1978)
Inventiones mathematicae
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Winfried Kohnen, Siegfried Böcherer (1993)
Mathematische Annalen
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Machedon, M. (1998)
Documenta Mathematica
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Roberto Camporesi, Emmanuel Pedon (2001)
Colloquium Mathematicae
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We develop the L² harmonic analysis for (Dirac) spinors on the real hyperbolic space Hⁿ(ℝ) and give the analogue of the classical notions and results known for functions and differential forms: we investigate the Poisson transform, spherical function theory, spherical Fourier transform and Fourier transform. Very explicit expressions and statements are obtained by reduction to Jacobi analysis on L²(ℝ). As applications, we describe the exact spectrum of the Dirac operator, study the Abel...
Sukumar Adhikari (1991)
Acta Arithmetica
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Winfried Kohnen (1993)
Compositio Mathematica
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Jan Dymara, Damian Osajda (2007)
Fundamenta Mathematicae
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We prove that the boundary of a right-angled hyperbolic building is a universal Menger space. As a consequence, the 3-dimensional universal Menger space is the boundary of some Gromov-hyperbolic group.
Andrew Knightly, Charles Li (2006)
Acta Arithmetica
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Matti Jutila (1996)
Mathematische Zeitschrift
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Michał Kisielewicz (1975)
Annales Polonici Mathematici
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