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Almost Automorphic Integrals of Almost Automorphic Functions
Canadian Mathematical Bulletin, 1972Bochner has introduced the idea of almost automorphy in various contexts (see for example [1] and [2]). We shall use the following definition:A measurable real valued function f of a real variable will be called almost automorphic if from every given infinite sequence of real numbers we can extract a subsequence {αn} such that(i) exits for every real
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Automorphic functions and automorphic distributions
2011Section 3.2 will provide a short “dictionary” from automorphic distribution theory (in the plane) to automorphic function theory (in II): there is slightly more information in an automorphic distribution than in an automorphic function, so that pairs of automorphic functions have to be used.
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1994
Abstract An automorphism of a geometry r is an isomorphism from Γ to Γ. The automorphisms of Γ form a group. We denote this group by Aut(f) and we call it the full automorphism group of Γ, also the automorphism group of Γ, for short, using the definite article ‘the’.
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Abstract An automorphism of a geometry r is an isomorphism from Γ to Γ. The automorphisms of Γ form a group. We denote this group by Aut(f) and we call it the full automorphism group of Γ, also the automorphism group of Γ, for short, using the definite article ‘the’.
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Automorphic Pseudodifferential Operators
1997The theme of this paper is the correspondence between classical modular forms and pseudodifferential operators (ΨDO’s) which have some kind of automorphic behaviour. In the simplest case, this correspondence is as follows. Let Γ be a discrete subgroup of PSL 2(ℝ) acting on the complex upper half-plane H in the usual way, and f(z) a modular form of even
Cohen, P. +2 more
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