Cel Linear operators are used to describe a great variety of physical phenomena. Depending on the kind of problem, the operators may appear as finite or infinite matrices, as integral operators or as ordinary and partial differential operators. Two important methods exist to study operators in Hilbert and Krein spaces, each of which has a long and outstanding history. The first method consists of extending a given operator to one acting on a larger space and with simpler properties. The second approach is based on the construction of canonical models for operators. Functional models provide powerful tools to study non-selfadjoint Hilbert space operators that are close to unitary or selfadjoint ones. Extension of operators originates in the theory of symmetric operators. Both approaches enable the study of operators by methods of complex function theory and, vice versa, the study of complex function theory problems by methods of operator theory. The purpose of the project is to employ and further develop these two methods. The objectives are the following: to study the classification of operators under similarity and quasi-similarity (in particular to describe the spectra of selfadjoint extensions of symmetric operators and symmetric linear relations and to study the analytic matrix and operator functions that are involved); to investigate the functional models determined by transfer functions of dynamical systems; to develop a non-stationary version of the model theory; to develop scattering theory for non-selfadjoint operators in terms of functional models and for pairs of selfadjoint extensions of a single symmetric operator (including trace formula and spectral shift function); and to study inverse problems of mathematical physics. Program(-y) IC-INTAS - International Association for the promotion of cooperation with scientists from the independent states of the former Soviet Union (INTAS), 1993- Temat(-y) 21 - Mathematics Zaproszenie do składania wniosków Data not available System finansowania Data not available Koordynator Vrije Universiteit Amsterdam Wkład UE Brak danych Adres De Boelelaan 1081 A 1081 HV Amsterdam Niderlandy Zobacz na mapie Koszt całkowity Brak danych Uczestnicy (6) Sortuj alfabetycznie Sortuj według wkładu UE Rozwiń wszystko Zwiń wszystko National Academy of Sciences of Ukraine Ukraina Wkład UE Brak danych Adres 252601 Kiev Zobacz na mapie Koszt całkowity Brak danych Odessa State University Ukraina Wkład UE Brak danych Adres 270100 Odessa Zobacz na mapie Koszt całkowity Brak danych Russian Academy of Sciences Rosja Wkład UE Brak danych Adres 191011 St. Petersburg Zobacz na mapie Koszt całkowity Brak danych University of Donetsk Ukraina Wkład UE Brak danych Adres 340055 Donetsk Zobacz na mapie Koszt całkowity Brak danych Universität Potsdam Niemcy Wkład UE Brak danych Adres 14415 Potsdam Zobacz na mapie Koszt całkowity Brak danych Voronezh State University Rosja Wkład UE Brak danych Adres 394693 Voronezh Zobacz na mapie Koszt całkowity Brak danych
