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3,674 results on '"Gohberg, I."'

1. Krein systems and canonical systems on a finite interval: accelerants with a jump discontinuity at the origin and continuous potentials

Author

Alpay, D., Gohberg, I., Kaashoek, M. A., Lerer, L., and Sakhnovich, A. L.

Subjects
Mathematics - Classical Analysis and ODEs, Mathematics - Spectral Theory, 34L40, 47A68, 47B65
Abstract

This paper is devoted to connections between accelerants and potentials of Krein systems and of canonical systems of Dirac type, both on a finite interval. It is shown that a continuous potential is always generated by an accelerant, provided the latter is continuous with a possible jump discontinuity at the origin. Moreover, the generating accelerant is uniquely determined by the potential. The results are illustrated on pseudo-exponential potentials. The paper is a continuation of the earlier paper of the authors [1] dealing with the direct problem for Krein systems.

Published
2009

2. Krein systems

Author

Alpay, D., Gohberg, I., Kaashoek, M. A., Lerer, L., and Sakhnovich, A.

Subjects
Mathematics - Classical Analysis and ODEs, Mathematics - Optimization and Control, 34A55, 49N45, 70G30, 93B15, 47B35
Abstract

In the present paper we extend results of M.G. Krein associated to the spectral problem for Krein systems to systems with matrix valued accelerants with a possible jump discontinuity at the origin. Explicit formulas for the accelerant are given in terms of the matrizant of the system in question. Recent developments in the theory of continuous analogs of the resultant operator play an essential role.

Published
2009

3. Quasi-commutativity of Entire Matrix Functions and the Continuous Analogue of the Resultant

Author

Gohberg, I., Kaashoek, M. A., Lerer, L., Gohberg, I., editor, Alpay, D., editor, Arazy, J., editor, Atzmon, A., editor, Ball, J. A., editor, Ben-Artzi, A., editor, Bercovici, H., editor, Böttcher, A., editor, Clancey, K., editor, Coburn, L. A., editor, Curto, R. E., editor, Davidson, K. R., editor, Douglas, R. G., editor, Dijksma, A., editor, Dym, H., editor, Fuhrmann, P. A., editor, Gramsch, B., editor, Helton, J. A., editor, Kaashoek, M. A., editor, Kaper, H. G., editor, Kuroda, S. T., editor, Lancaster, P., editor, Lerer, L. E., editor, Mityagin, B., editor, Olshevsky, V., editor, Putinar, M., editor, Rodman, L., editor, Rovnyak, J., editor, Sarason, D. E., editor, Spitkovsky, I. M., editor, Treil, S., editor, Upmeier, H., editor, Lunel, S. M. Verduyn, editor, Voiculescu, D., editor, Xia, D., editor, Yafaev, D., editor, Erusalimsky, Yakob M., editor, Gohberg, Israel, editor, Grudsky, Sergei M., editor, Rabinovich, Vladimir, editor, and Vasilevski, Nikolai, editor

Published
2007
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10. About the Mark Krein International Conference

Author

Adamyan, V. M., Gohberg, I., Gorbachuk, M., Gorbachuk, V., Kaashoek, M. A., Langer, H., Popov, G., Gohberg, I., editor, Adamyan, V. M., editor, Gorbachuk, M., editor, Gorbachuk, V., editor, Kaashoek, M. A., editor, Langer, H., editor, and Popov, G., editor

Published
2000
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12. A Traub-like Algorithm for Hessenbergquasiseparable- Vandermonde Matrices of Arbitrary Order

Author

Bella, T., Olshevsky, V., Zhlobich, P., Eidelman, Y., Gohberg, I., Tyrtyshnikov, E., Dym, Harry, editor, Ball, Joseph A., editor, Kaashoek, Marinus A., editor, Langer, Heinz, editor, Tretter, Christiane, editor, Adamyan, Vadim, editor, Böttcher, Albrecht, editor, Brown, B. Malcolm, editor, Curto, Raul, editor, Gesztesy, Fritz, editor, Kurasov, Pavel, editor, Lerer, Leonid E., editor, Paulsen, Vern, editor, Putinar, Mihai, editor, Rodman, Leiba, editor, Spitkovsky, Ilya M., editor, Coburn, Lewis A., editor, Foias, Ciprian, editor, Helton, J. William, editor, Kailath, Thomas, editor, Lancaster, Peter, editor, Lax, Peter D., editor, Sarason, Donald, editor, Silbermann, Bernd, editor, Widom, Harold, editor, Bini, Dario Andrea, editor, Mehrmann, Volker, editor, Olshevsky, Vadim, editor, Tyrtyshnikov, Eugene E., editor, and van Barel, Marc, editor

Published
2010
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21. Introduction

Author

Foias, C., Frazho, A. E., Gohberg, I., Kaashoek, M. A., Gohberg, I., editor, Foias, C., Frazho, A. E., and Kaashoek, M. A.

Published
1998
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26. Time Invariant Systems

Author

Foias, C., Frazho, A. E., Gohberg, I., Kaashoek, M. A., Gohberg, I., editor, Foias, C., Frazho, A. E., and Kaashoek, M. A.

Published
1998
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40. General Theory

Author

Gohberg, I., Kaashoek, M. A., Goldberg, S., Gohberg, I., editor, Gohberg, Israel, Kaashoek, Marinus A., and Goldberg, Seymour

Published
1993
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42. Completions of Matrices

Author

Gohberg, I., Kaashoek, M. A., Goldberg, S., Gohberg, I., editor, Gohberg, Israel, Kaashoek, Marinus A., and Goldberg, Seymour

Published
1993
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47. Dilation Theory

Author

Gohberg, I., Kaashoek, M. A., Goldberg, S., Gohberg, I., editor, Gohberg, Israel, Kaashoek, Marinus A., and Goldberg, Seymour

Published
1993
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