Research Grants 17/09333-3 - Espaços de Bergman, Operadores simétricos complexos - BV FAPESP
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Hilbert spaces of holomorphic functions with applications to spectral theory and analytic number theory

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)

Articles published in Agência FAPESP Newsletter about the research grant:
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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
NOOR, S. WALEED; SEVERIANO, OSMAR R.. COMPLEX SYMMETRY AND CYCLICITY OF COMPOSITION OPERATORS ON H-2(C+). Proceedings of the American Mathematical Society, v. 148, n. 6, p. 2469-2476, . (17/09333-3)
CARMO, JOAO R.; NOOR, S. WALEED. UNIVERSAL COMPOSITION OPERATORS. JOURNAL OF OPERATOR THEORY, v. 87, n. 1, p. 20-pg., . (17/09333-3)
NOOR, S. WALEED. A Hardy space analysis of the Baez-Duarte criterion for the RH. ADVANCES IN MATHEMATICS, v. 350, p. 242-255, . (17/09333-3)

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