Abstract
A formula of H. Cohen permits building a sequence of modular forms of weightsk 1+k 2+2j, j≥0, from two modular forms of weights,k 1 andk 2. We show that these bilinear products, can be interpreted as arising from the composition formula associated with a symbolic calculus of operators linked to the principal series of representations of SL(2, ℝ)
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Partial support: CNRS URA 1870.
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Unterberger, A., Unterberger, J. Algebras of symbols and modular forms. J. Anal. Math. 68, 121–143 (1996). https://doi.org/10.1007/BF02790207
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DOI: https://doi.org/10.1007/BF02790207