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


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2015-04

AUTHORS

Sebastián Daniel Herrero

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. More... »

PAGES

529-536

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11139-013-9536-5

DOI

http://dx.doi.org/10.1007/s11139-013-9536-5

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1010517609


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