Artículo
Cortina, E.; D'Attellis, C.E. "On the multiplicity of Darlington realizations of contractive matrix-valued functions" (1987) Journal of Mathematical Analysis and Applications. 125(2):331-350
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Abstract:
We obtain a unique expression for a Darlington realization of a contractive matrix-valued function S(z)ε{lunate}Lτ, valid for the three following cases: (a)S(z) is inner: (b) S(z) is not inner and det[In - S*(ξ) S(ξ)] ≠ 0 a.e.: (c) S(z) is not inner and det[In - S*( 1 z) S(z)] = 0 (z ε{lunate} D). On the basis of this result we examinate the problem of multiplicity of realizations for the case (c). © 1987.
Registro:
| Documento: | Artículo |
| Título: | On the multiplicity of Darlington realizations of contractive matrix-valued functions |
| Autor: | Cortina, E.; D'Attellis, C.E. |
| Filiación: | Departamento de Física, Facultad de Ciencias Exaclas y Naturates, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina Comisión Nacional de Energía Atómica, Departamento de Matemátiea, Facultad de Ciencias Exactas y Naturales, 1428 Buenos Aires, Argentina |
| Año: | 1987 |
| Volumen: | 125 |
| Número: | 2 |
| Página de inicio: | 331 |
| Página de fin: | 350 |
| DOI: | http://dx.doi.org/10.1016/0022-247X(87)90096-5 |
| 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_v125_n2_p331_Cortina.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v125_n2_p331_Cortina |
Referencias:
- Sz.-Nagy, Foias, (1970) Harmonic Analysis of Operators on Hilbert Spaces, , North-Holland, Amsterdam/New York, Akad. Kiadó, Budapest
- Nevalinna, (1953) Eindeutige analitische funktionen, , Springer-Verlag, Berlin/Gottingen/Heidelberg
- 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 (6), pp. 1295-1326. , English Translation
- E. Cortina and C. D'Attellis, On the representation of a class of contractive matrix-valued functions, J. Math. Anal. Appl., in press; Arov, On unitary coupling with losses (1974) Funktional Anal. i Prilozhen, 8 (4)
- Arov, (1974) Funct. Anal. Appl., 8, pp. 280-294. , English Translation
- Cauer, (1958) Synthesis of Linear Communications Networks, , McGraw-Hill, New York
Citas:
---------- APA ----------
Cortina, E. & D'Attellis, C.E. (1987) . On the multiplicity of Darlington realizations of contractive matrix-valued functions. Journal of Mathematical Analysis and Applications, 125(2), 331-350.http://dx.doi.org/10.1016/0022-247X(87)90096-5
---------- CHICAGO ----------
Cortina, E., D'Attellis, C.E. "On the multiplicity of Darlington realizations of contractive matrix-valued functions" . Journal of Mathematical Analysis and Applications 125, no. 2 (1987) : 331-350.http://dx.doi.org/10.1016/0022-247X(87)90096-5
---------- MLA ----------
Cortina, E., D'Attellis, C.E. "On the multiplicity of Darlington realizations of contractive matrix-valued functions" . Journal of Mathematical Analysis and Applications, vol. 125, no. 2, 1987, pp. 331-350.http://dx.doi.org/10.1016/0022-247X(87)90096-5
---------- VANCOUVER ----------
Cortina, E., D'Attellis, C.E. On the multiplicity of Darlington realizations of contractive matrix-valued functions. J. Math. Anal. Appl. 1987;125(2):331-350.http://dx.doi.org/10.1016/0022-247X(87)90096-5
