Objective
Research objectives and content
The project lies in the border area between functional analysis and function theory and consists of two topics.
Firstly, I will study the biinvariant subspaces of certain weighted spaces of functions on the circle. I expect either to obtain a characterization of these in terms of zero sets and inner factors or to show that a characterization in these terms is not possible.
Secondly, I will investigate the closed ideals in non-separable Banach algebras of analytic functions on the unit disc with the main emphasis on the Lipschitz algebras. For these I expect to show that, given a certain set of conditions, there exists a smallest closed ideal which satisfies these. Moreover, I expect to give a Beurling-Rudin characterization of the weak-star closed ideals in these algebras.
Training content (objective. benefit and expected impact)
The main methods that will be used in the project are the weighted hyper-distributions and the Carleman transform. Prof. J. Esterle from the host institution is a leading expert in these techniques and, through the training, I expect to gain insight into how to apply them.
Links with industry / industrial relevance (22)
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences mathematics pure mathematics algebra
- natural sciences mathematics pure mathematics mathematical analysis functional analysis
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
33405 TALENCE
France
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.