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Abstract:

We obtain in this article theorems on linear fractional transformations of j-expansive matrix-valued functions wich provide a procedure to synthetize linear passive 2n-ports. In particular, these results permit us to solve the problem of Darlington realizations of transfer-scattering matrices of linear passive 2n-ports on the basis of the synthesis of transfer-scattering matrices of linear 4n-ports without losses. It is a pleasure to acknowledge our debt to the remarkable paper [4] by Arov. © 1983.

Registro:

Documento: Artículo
Título:j-Expansive matrix-valued functions and Darlington realization of transfer-scattering matrices
Autor:Cortina, E.
Filiación:Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina
Palabras clave:MATHEMATICAL TRANSFORMATIONS; ELECTRIC NETWORKS
Año:1983
Volumen:92
Número:2
Página de inicio:435
Página de fin:444
DOI: http://dx.doi.org/10.1016/0022-247X(83)90260-3
Título revista:Journal of Mathematical Analysis and Applications
Título revista abreviado:J. Math. Anal. Appl.
ISSN:0022247X
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_0022247X_v92_n2_p435_Cortina.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v92_n2_p435_Cortina

Referencias:

  • Nagy, Foias, (1970) Harmonic Analysis of Operator on Hilbert Space, , North-Holland, Amsterdam
  • Nevanlinna, (1953) Eindeutige Analitische Funktionen, , Springer, Berlin
  • Rosemblum, Rovnyak, The factorization problem for nonnegative operator-value functions (1971) Bulletin of the American Mathematical Society, 77, pp. 287-317
  • Arov, Darlington realization of matrix-valued functions (1973) Izv. Akad. Nauk SSSR Ser. Mat., 37 (6)
  • Arov, DARLINGTON REALIZATION OF MATRIX-VALUED FUNCTIONS (1973) Mathematics of the USSR-Izvestiya, 7, pp. 1295-1326. , English Transl
  • Arov, On unitary coupling with losses (1974) Funkcional Anal. i Prilozen., 8 (4)
  • Arov, (1974) Funct. Anal. Appl., 8, pp. 280-293. , English Transl
  • Efimov, Potapov, j-expanding matrix-valued functions and their role in the analytical theory of circuits (1973) Uspehi Mat. Nauk, 28 (1), pp. 65-130
  • Efimov, Potapov, J-EXPANDING MATRIX FUNCTIONS AND THEIR ROLE IN THE ANALYTICAL THEORY OF ELECTRICAL CIRCUITS (1973) Russian Mathematical Surveys, 28 (1), pp. 69-140. , English Transl

Citas:

---------- APA ----------
(1983) . j-Expansive matrix-valued functions and Darlington realization of transfer-scattering matrices. Journal of Mathematical Analysis and Applications, 92(2), 435-444.
http://dx.doi.org/10.1016/0022-247X(83)90260-3
---------- CHICAGO ----------
Cortina, E. "j-Expansive matrix-valued functions and Darlington realization of transfer-scattering matrices" . Journal of Mathematical Analysis and Applications 92, no. 2 (1983) : 435-444.
http://dx.doi.org/10.1016/0022-247X(83)90260-3
---------- MLA ----------
Cortina, E. "j-Expansive matrix-valued functions and Darlington realization of transfer-scattering matrices" . Journal of Mathematical Analysis and Applications, vol. 92, no. 2, 1983, pp. 435-444.
http://dx.doi.org/10.1016/0022-247X(83)90260-3
---------- VANCOUVER ----------
Cortina, E. j-Expansive matrix-valued functions and Darlington realization of transfer-scattering matrices. J. Math. Anal. Appl. 1983;92(2):435-444.
http://dx.doi.org/10.1016/0022-247X(83)90260-3