Siegel operator

In mathematics, the Siegel operator is a linear map from (level 1) Siegel modular forms of degree d to Siegel modular forms of degree d − 1, generalizing taking the constant term of a modular form. The kernel is the space of Siegel cusp forms of degree d.

References

• Klingen, Helmut (2003), Introductory Lectures on Siegel Modular Forms, Cambridge University Press, ISBN 0-521-35052-2
• Weissauer, Rainer (1986), Stabile Modulformen und Eisensteinreihen, Lecture Notes in Mathematics, vol. 1219, Berlin: Springer-Verlag, ISBN 3-540-17181-9, MR 0923958