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Results tagged with automorphic-forms
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user 140407
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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Quotient space by discrete group and $L^2(\Gamma\backslash \mathcal{H})$
In Section 1.2 of Bump’s book ‘The Modular Group’, you can see that Bump identifies $\mathcal{H}$ with the coset $SL_2(\mathbb{R})/ SO(2)$ by means of its Iwasawa decomposition.
In exercise 1.2.6 he g …
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