Abstract:
By a decomposition of L+ 2(Cn) in two orthogonal subspaces we obtain a representation of a matrix-valued function of the class JΠ, defined by Arov (Darlington realization of matrix-valued functions, Izv. Akad. Nauk. SSSR, Ser. Mat. Tom. 37 (1973), No. 6); (Math. USSR Izvestija 7 (1973), No. 6, 1295-1326). Real matrix-valued functions of this class play an important role in methods of synthesis of scattering matrices of linear passive n-ports. © 1984.
Registro:
Documento: |
Artículo
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Título: | On the representation of a class of contractive matrix-valued functions |
Autor: | Cortina, E.; D'Attellis, C.E. |
Filiación: | Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina Comisión Nacional de Energía Atómica, Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Buenos Aires, Argentina
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Año: | 1984
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Volumen: | 101
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Número: | 1
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Página de inicio: | 308
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Página de fin: | 323
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DOI: |
http://dx.doi.org/10.1016/0022-247X(84)90068-4 |
Título revista: | Journal of Mathematical Analysis and Applications
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Título revista abreviado: | J. Math. Anal. Appl.
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ISSN: | 0022247X
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v101_n1_p308_Cortina |
Referencias:
- Nagy, Foias, (1970) Harmonic Analysis of Operators in Hilbert Space, , North-Holland, Amsterdam
- Nevanlinna, (1953) Eiudeutige analitische funktionen, , Springer-Verlag, Berlin/New York/Heidelberg
- Arov, Darlington realization of matrix-valued functions (1973) Izv. Akad. Nauk SSSR, Ser. Mat. Tom., 37 (N∘ 6)
- Arov, DARLINGTON REALIZATION OF MATRIX-VALUED FUNCTIONS (1973) Mathematics of the USSR-Izvestiya, 7 (N∘ 6), pp. 1295-1326. , English Transl
- Cortina, (1978) Thesis Doctoral, , Universidad de Buenos Aires
Citas:
---------- APA ----------
Cortina, E. & D'Attellis, C.E.
(1984)
. On the representation of a class of contractive matrix-valued functions. Journal of Mathematical Analysis and Applications, 101(1), 308-323.
http://dx.doi.org/10.1016/0022-247X(84)90068-4---------- CHICAGO ----------
Cortina, E., D'Attellis, C.E.
"On the representation of a class of contractive matrix-valued functions"
. Journal of Mathematical Analysis and Applications 101, no. 1
(1984) : 308-323.
http://dx.doi.org/10.1016/0022-247X(84)90068-4---------- MLA ----------
Cortina, E., D'Attellis, C.E.
"On the representation of a class of contractive matrix-valued functions"
. Journal of Mathematical Analysis and Applications, vol. 101, no. 1, 1984, pp. 308-323.
http://dx.doi.org/10.1016/0022-247X(84)90068-4---------- VANCOUVER ----------
Cortina, E., D'Attellis, C.E. On the representation of a class of contractive matrix-valued functions. J. Math. Anal. Appl. 1984;101(1):308-323.
http://dx.doi.org/10.1016/0022-247X(84)90068-4