| Grant number: | 17/09333-3 |
| Support Opportunities: | Regular Research Grants |
| Start date: | August 01, 2017 |
| End date: | July 31, 2019 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
| Principal Investigator: | Sahibzada Waleed Noor |
| Grantee: | Sahibzada Waleed Noor |
| Host Institution: | Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil |
| City of the host institution: | Campinas |
Abstract
The aim of this project is the study of certain problems that lie at the intersection of complex analysis, operator theory and analytic number theory. In particular, our focus shall be on composition operators and Toeplitz operators on certain Hilbert spaces of holomorphic functions on the open unit disk such as the Hardy-Hilbert space and some weighted Bergman spaces. The study of the Hilbert spaces of Dirichlet series naturally leads to problems within analytic number theory. One of the main goals is to investigate how the study of these spaces may shed new light on major open problems such as the invariant subspace problem and the Riemann hypothesis. (AU)
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