Objective
The topic of this proposal is a structured extension of abstract harmonic analysis and covariant/contravariant transforms over homogeneous spaces of locally compact groups. We are going to develop a systematic framework to study the structure and properties of convolution-type operators associated to locally compact groups, both from a theoretical perspective and in application to geometric analysis, operator theory and mathematical physics.
The first objective is to present the abstract notion of relative dual space for homogeneous spaces. Then we present the theory of relative Fourier analysis over these homogeneous spaces by applying the the abstract theory of relative dual space. Finally, we explore a general model of covariant/contravariant analysis over homogeneous spaces. The entire project will be an important contribution to the field of abstract harmonic analysis, harmonic analysis, geometric analysis and
theoretical physics, presenting a unified perspective on the structure of these homogeneous spaces. Applications to symbolic calculus of operators and quantum information theory will be explored.
The Fellow will gain new skills and experience in applications of his knowledge in mathematical physics and other areas. Progress in this ambitious project will reinforce Fellow's reputation and support him in obtaining a strong academic position. The host will gain from Fellow's expertise, on the representation theory/abstract harmonic analysis border, which Fellow has developed from his tree-year PostDoc in Vienna--the one of world's leading wavelets groups.
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 physical sciences quantum physics
- natural sciences mathematics applied mathematics mathematical physics
- natural sciences mathematics pure mathematics mathematical analysis fourier analysis
- natural sciences physical sciences theoretical physics
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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.
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H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions
MAIN PROGRAMME
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H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility
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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.
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.
MSCA-IF-EF-ST - Standard EF
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Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) H2020-MSCA-IF-2017
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Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
LS2 9JT Leeds
United Kingdom
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.