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• W2063080888 abstract "Previous article Next article A Scattering Formulism for the Hilbert PortA. H. ZemanianA. H. Zemanianhttps://doi.org/10.1137/0118040PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] A. H. Zemanian, The Hilbert port, SIAM J. Appl. Math., 18 (1970), 98–138 10.1137/0118012 MR0497351 (58:15722) 0193.09501 LinkISIGoogle Scholar[2] A. H. Zemanian, Generalized integral transformations, Interscience Publishers [John Wiley & Sons, Inc.], New York-London-Sydney, 1968xvi+300pp MR0423007 (54:10991) 0181.12701 Google Scholar[3] Adriaan Cornelis Zaanen, Integration, Completely revised edition of An introduction to the theory of integration, North-Holland Publishing Co., Amsterdam, 1967xiii+604 MR0222234 (36:5286) 0175.05002 Google Scholar[4] Laurent Schwartz, Théorie des distributions, Publications de l'Institut de Mathématique de l'Université de Strasbourg, No. IX-X. Nouvelle édition, entiérement corrigée, refondue et augmentée, Hermann, Paris, 1966xiii+420 MR0209834 (35:730) 0149.09501 Google Scholar[5] N. Bourbaki, Eléments de mathématique. XVIII. Première partie: Les structures fondamentales de l'analyse. Livre V: Espaces vectoriels topologiques. Chapitre III: Espaces d'applications linéaires continues. Chapitre IV: La dualité dans les espaces vectoriels topologiques. Chapitre V: Espaces hilbertiens, Actualités Sci. Ind., no. 1229, Hermann & Cie, Paris, 1955ii+191 MR0077882 (17,1109d) 0066.35301 Google Scholar[6] Einar Hille and , Ralph S. Phillips, Functional analysis and semi-groups, American Mathematical Society Colloquium Publications, vol. 31, American Mathematical Society, Providence, R. I., 1957xii+808 MR0089373 (19,664d) 0078.10004 Google Scholar[7] M. R. Wohlers and , E. J. Beltrami, Distribution theory as the basis of generalized passive-network analysis, IEEE Trans. Circuit Theory, CT-12 (1965), 164–170 CrossrefGoogle Scholar[8] A. H. Zemanian, The postulational foundations of linear systems, J. Math. Anal. Appl., 24 (1968), 409–429 10.1016/0022-247X(68)90040-1 MR0233633 (38:1954) 0186.47902 CrossrefISIGoogle Scholar[9] George Bachman and , Lawrence Narici, Functional analysis, Academic Press, New York, 1966xiv+530 MR0217549 (36:638) 0141.11502 Google Scholar[10] A. H. Zemanian, Distribution theory and transform analysis. An introduction to generalized functions, with applications, McGraw-Hill Book Co., New York, 1965xviii+371 MR0177293 (31:1556) 0127.07201 Google Scholar[11] Albert Wilansky, Functional analysis, Blaisdell Publishing Co. Ginn and Co. New York-Toronto-London, 1964xvi+293 MR0170186 (30:425) 0136.10603 Google Scholar[12] D. C. Youla, , L. J. Castriota and , H. J. Carlin, Bounded real scattering matrices and the foundations of linear passive network theory, IRE Trans. Circuit Theory, CT-6 (1959), 102–124 CrossrefGoogle Scholar[13] R. W. Newcomb, Linear Multiport Synthesis, McGraw-Hill, New York, 1966 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Relaxive Hilbert PortsA. H. ZemanianSIAM Journal on Control, Vol. 12, No. 1 | 18 July 2006AbstractPDF (1592 KB)The Cascade Loading of Passive Hilbert PortsJ. W. Helton and A. H. ZemanianSIAM Journal on Applied Mathematics, Vol. 23, No. 3 | 12 July 2006AbstractPDF (1479 KB)Passive network realization using abstract operator theoryIEEE Transactions on Circuit Theory, Vol. 19, No. 5 | 1 Sep 1972 Cross Ref Realizability Conditions for Time-Varying and Time-Invariant Hilbert PortsA. H. ZemanianSIAM Journal on Applied Mathematics, Vol. 22, No. 4 | 12 July 2006AbstractPDF (1674 KB)ReferencesRealizability Theory for Continuous Linear Systems | 1 Jan 1972 Cross Ref The Passivity and Semipassivity of Time-Varying Systems Under the Admittance FormulismA. H. ZemanianSIAM Journal on Applied Mathematics, Vol. 21, No. 4 | 12 July 2006AbstractPDF (816 KB) Volume 18, Issue 2| 1970SIAM Journal on Applied Mathematics259-538 History Submitted:11 March 1969Published online:01 August 2006 InformationCopyright © 1970 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0118040Article page range:pp. 467-488ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics" @default.
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