Abstract
In the standard Hilbert space L2(F; dμ) of even automorphic functions, where F is the fundamental domain of the modular group PSL(2, ℤ), a full system of functions (in terms of classical analytic modular forms) is constructed, up to a finite-dimensional subspace. Therefore, in particular, almost every Maass waveform can be represented by a series in analytic forms. Bibliography: 9 titles.
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