Fast Fourier analysis for abelian group extensions
نویسندگان
چکیده
منابع مشابه
Fast Fourier Analysis for Abelian Group Extensions
Let G be a nite group and f any complex-valued function deened on G and an irreducible complex matrix representation of G. The Fourier transform of f at is deened to be the matrix P s2G f(s)(s). The Fourier transforms of f at all the irreducible representations of G determine f via the Fourier inversion formula f(s) = 1 j Gj P d trace(b f()(s ?1)): Direct computation of all Fourier transforms o...
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[2] The notation L(G) is meant to suggest the presence of the inner product on this space of functions. On a general space X with an integral, the iner product is 〈f1, f2〉 = ∫ X f1f 2. [3] The term character has different meanings in different contexts. The simplest sense is a group homomorphism to C×. However, an equally important use is for the trace of a group homomorphism ρ : G → GLn(k) fro...
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ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 1990
ISSN: 0196-8858
DOI: 10.1016/0196-8858(90)90008-m