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Results tagged with automorphic-forms
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user 39310
An automorphic form is a well-behaved function from a topological group $G$ to the complex numbers (or complex vector space) which is invariant under the action of a discrete subgroup $\Gamma \subset G$ of the topological group. Automorphic forms are a generalization of the idea of periodic functions in Euclidean space to general topological groups.
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Adelization of modular forms: What measure on $L^2(G_\mathbb{Q}Z_{\mathbb{R}}\backslash G_{\...
Ok, thanks to the discussion with Paul Garrett and Marc Palm I got the idea:
One starts with the Haar measure on $G_\mathbb{A}$. The one forms the quotient measure on $G_\mathbb{Q} Z_\mathbb{R} \back …
- 334
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3
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Adelization of modular forms: What measure on $L^2(G_\mathbb{Q}Z_{\mathbb{R}}\backslash G_{\...
Let
$G_\mathbb{Q} = \text{GL}_2(\mathbb{Q})$
$\mathbb{A} = $ the adeles over $\mathbb{Q}$
$G_\mathbb{A} = \text{GL}_2(\mathbb{A})$
$Z_\mathbb{R} = \{(1,1,...,| \epsilon \cdot \text{id}) : \epsilon …
- 334