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Petersburg Department of Steklov Institute of Mathematics

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PREPRINT 16/1999

V. A. Bykovskii
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RELATIONSHIP BETWEEN THE SPECTRAL
THEORIES OF AUTOMORPHIC FUNCTIONS
OF WEIGHT 0 AND 1/2

This preprint was accepted September 15, 1998

Contact:
`V. A. Bykovskii `

ABSTRACT:
In the present paper, it is established a spectral expansion of
the convolution of an Eisenstein series of weight zero and the
classical Jacobi theta function with a nontrivial shift in
eigenfunctions of the space of automorphic functions of weight
zero, invariant relative to the group $SL(2,\Bbb Z)$.

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