The adjoint of some linear maps constructed with the Rankin–Cohen brackets

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

Given a fixed modular form of level 1 we define a family of linear operators between spaces of cusp forms by use of the Rankin–Cohen brackets and we compute the adjoint maps of such family with respect to the usual Petersson inner product. This is done in terms of the effect on the Fourier development of cusp forms. This is a generalization of a result due to W. Kohnen. As an application we prove certain relations among Fourier coefficients of cusp forms.

Original languageEnglish
Pages (from-to)529-536
Number of pages8
JournalRamanujan Journal
Volume36
Issue number3
DOIs
StatePublished - 1 Jan 2015

Keywords

  • Adjoint map
  • Modular forms
  • Rankin–Cohen brackets

Fingerprint Dive into the research topics of 'The adjoint of some linear maps constructed with the Rankin–Cohen brackets'. Together they form a unique fingerprint.

Cite this