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Abstract:

Factorization of J-biexpansive operator-valued functions on an infinite-dimensional Hilbert space is performed, to extract terms with an arbitrary number of poles of first order on the left and right half planes. Special emphasis is given to the case of reciprocal poles, which has an application to the synthesis of reciprocal passive linear systems as an extension of the classical synthesis of reciprocal n-ports by factor decomposition. © 1986.

Registro:

Documento: Artículo
Título:Factorization of reciprocal Hilbert port operators
Autor:Gnavi, G.
Filiación:Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
Instituto Argentino de Matemática, CONICET, Argentina
Palabras clave:ELECTRIC NETWORKS - Analysis; FACTORIZATION; RECIPROCAL HILBERT PORT OPERATORS; MATHEMATICAL TECHNIQUES
Año:1986
Volumen:114
Número:2
Página de inicio:385
Página de fin:397
DOI: http://dx.doi.org/10.1016/0022-247X(86)90091-0
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_v114_n2_p385_Gnavi.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v114_n2_p385_Gnavi

Referencias:

  • Belevitch, Factorization of scattering matrices with applications to passive network synthesis (1963) Phillips Res. Rep., 18, pp. 275-317
  • Belevitch, (1968) Classical Network Theory, , Holden-Day, San Francisco
  • Efimov, Potapov, J-expansive matrix functions and their role in the theory of electrical circuits (1973) Uspekhi Mat. Nauk, 28, pp. 65-130. , [Russian]
  • Ginzburg, A maximum principle for J-contractive operator functions and some of its consequences (1963) Izv. Vysšh. Učebn. Zaved. Mat., 32, pp. 45-53. , [Russian]
  • Gnavi, Factorización de operadores característicos de puertos de Hilbert (1975) Trabajos de Matemática, pp. 1-47. , Instituto Argentino de Matemática, No. 5
  • Gnavi, Factorization of J-expansive Meromorphic Operator-valued Functions (1981) Advan. Appl. Math., 2, pp. 13-23
  • Gnavi, Factorization of Hilbert Port Operators with Poles on the Imaginary Axis (1985) J. Math. Anal. Appl., 109, pp. 453-462
  • Domínguez, On the factorization of scattering matrices, chain matrices and transfer matrices (1975) Annali di Matematica Pura ed Applicata, Series 4, 103, pp. 161-186
  • Kovalishina, Potapov, The multiplicative structure of analytical real J-non-contracting matrix functions (1965) Izv. Akad. Nauk Armjan. SSSR, 18 (6), pp. 3-10. , [Russian]
  • Lax, Phillips, (1967) Scattering Theory, , Academic Press, New York
  • Livschitz, Flekser, Realization of a reactive fourpole as a chain of simple fourpoles (1960) Dokl. Akad. Nauk SSSR, 135, pp. 542-544. , [Russian]
  • Saeks, (1972) Generalized Networks, , Holt, Rinehart & Winston, New York
  • Toll, Two, Three and Fourpoint Functions in Quantum Field Theory (1965) Seminar on high energy physics and elementary particles, pp. 1-43. , 2nd ed., Paper SMR 2/7, Int. Centre for Theoretical Physics
  • Wohlers, (1969) Lumped and Distributed Passive Networks, , Academic Press, New York
  • Youla, Cascade Synthesis of Passive n-Ports (1964) Tech. Rept. RADC-TDR-64-332, , 2nd ed., Rome Air Development Center, Rome, New York
  • Zemanian, (1972) Realizability Theory for Continuous Linear Systems, , Academic Press, New York/London

Citas:

---------- APA ----------
(1986) . Factorization of reciprocal Hilbert port operators. Journal of Mathematical Analysis and Applications, 114(2), 385-397.
http://dx.doi.org/10.1016/0022-247X(86)90091-0
---------- CHICAGO ----------
Gnavi, G. "Factorization of reciprocal Hilbert port operators" . Journal of Mathematical Analysis and Applications 114, no. 2 (1986) : 385-397.
http://dx.doi.org/10.1016/0022-247X(86)90091-0
---------- MLA ----------
Gnavi, G. "Factorization of reciprocal Hilbert port operators" . Journal of Mathematical Analysis and Applications, vol. 114, no. 2, 1986, pp. 385-397.
http://dx.doi.org/10.1016/0022-247X(86)90091-0
---------- VANCOUVER ----------
Gnavi, G. Factorization of reciprocal Hilbert port operators. J. Math. Anal. Appl. 1986;114(2):385-397.
http://dx.doi.org/10.1016/0022-247X(86)90091-0