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Smooth-Automorphic Forms and Smooth-Automorphic Representations
2021This book provides a conceptual introduction into the representation theory of local and global groups, with final emphasis on automorphic representations of reductive groups G over number fields F.Our approach to automorphic representations differs from the usual literature: We do not consider "K-finite" automorphic forms, but we allow a richer class ...
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1999
Abstract This chapter divides into two separate sections. The first section discusses the symplectic geometry of HnC and constructs Hamiltonian potential functions for various 1-parameter groups of automorphisms.
Allen C. Hibbard, Kenneth M. Levasseur
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Abstract This chapter divides into two separate sections. The first section discusses the symplectic geometry of HnC and constructs Hamiltonian potential functions for various 1-parameter groups of automorphisms.
Allen C. Hibbard, Kenneth M. Levasseur
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Constructing an Automorphism From an Anti-Automorphism
Canadian Mathematical Bulletin, 1968We consider the following problem: Let G be a group with distinct automorphisms β and σ and an anti-automorphism α such thatWhat can be said about G?If σ = α, σ is both an automorphism and an anti-automorphism so that G is abelian. Hence we assume that σ ≠ α.
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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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