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Content archived on 2022-12-23

Spectral functions and spectra of differential and difference operators in self-adjoint and non-self adjoint cases

Objective

This project is aimed at developing important aspects of spectral and operator theory for certain classes of self-adjoint and nonself-adjoint operators, in particular, Schrodinger type operators and Jacobi matrices. The basic techniques of operator theory for nonself-adjoint operators (such as the functional model approach) will be revisited, utilized and built upon. A number of models, motivated by important application areas in physics and chemistry, will be considered both analytically and numerically. The proposed approach relies on collaboration between specialists in pure and computational mathematics on the one hand, and in self-adjoint and nonself-adjoint spectral theory, on the other. This will enable all the research areas within the framework of the project to be enriched with new ideas and results.

The choice of the Research Consortium participants was determined by the aforementioned description of the research goals and methodology. The Research Consortium includes well-known specialists in all the areas outlined above, as well as a number of students and researchers at an early stage of their careers. The senior members of all the teams forming the Consortium have long-established close links with one another, including collaborations in joint research projects and fruitful interactions at international conferences and research seminars, as well as excellent personal relationships. We expect that this project will result in major new developments in the field, with useful results in a number of areas of application.

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Keywords

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Programme(s)

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Topic(s)

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Call for proposal

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Funding Scheme

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Coordinator

DUBLIN INSTITUTE OF TECHNOLOGY
EU contribution
No data
Address
KEVIN STREET
DUBLIN
Ireland

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Total cost

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Participants (5)

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