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Found 205 Documents (Results 1–100)

The rational interpolation problem: Grassmannian and Loewner-matrix approaches. (English) Zbl 1508.30073

Beattie, Christopher (ed.) et al., Realization and model reduction of dynamical systems. A festschrift in honor of the 70th birthday of Thanos Antoulas. Cham: Springer. 3-21 (2022).
MSC:  30E05 47A57 41A05
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Noncommutative function-theoretic operator theory and applications. (English) Zbl 1499.47001

Cambridge Tracts in Mathematics 225. Cambridge: Cambridge University Press (ISBN 978-1-316-51899-1/hbk; 978-1-00-900430-5/ebook). xx, 428 p. (2022).
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Interpolation by contractive multipliers between Fock spaces. (English) Zbl 1520.47032

Alpay, Daniel (ed.) et al., Complex function theory, operator theory, Schur analysis and systems theory. A volume in honor of V. E. Katsnelson. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 280, 79-138 (2020).
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Functional models for commuting Hilbert-space contractions. (English) Zbl 1481.47011

Curto, Raul E. (ed.) et al., Operator theory, operator algebras and their interactions with geometry and topology. Ronald G. Douglas memorial volume. Proceedings of the international workshop on operator theory and applications (IWOTA 2018), Shanghai, China, July 23–27, 2018. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 278, 11-54 (2020).
MSC:  47A45
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Multiplicative Stieltjes functions and associated pairs of reproducing kernel Hilbert spaces. (English) Zbl 1442.46021

Alpay, Daniel (ed.) et al., Linear systems, signal processing and hypercomplex analysis. Selected papers of the conference on mathematics, signal processing and linear systems: new problems and directions, Chapman University, Orange, CA, USA, November 14–19, 2017. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 275, 1-47 (2019).
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Standard versus strict bounded real lemma with infinite-dimensional state space. III: The dichotomous and bicausal cases. (English) Zbl 1454.47021

Bart, Harm (ed.) et al., Operator theory, analysis and the state space approach. In honor of Rien Kaashoek. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 271, 23-73 (2018).
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Interpolation and transfer-function realization for the noncommutative Schur-Agler class. (English) Zbl 1443.46039

Duduchava, Roland (ed.) et al., Operator theory in different settings and related applications, 26th international workshop on operator theory and its applications, IWOTA, Tbilisi, Georgia, July 6–10, 2015. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 262, 23-116 (2018).
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The bitangential matrix Nevanlinna-Pick interpolation problem revisited. (English) Zbl 1471.47009

Alpay, Daniel (ed.) et al., Indefinite inner product spaces, Schur analysis, and differential equations. A volume dedicated to Heinz Langer. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 263, 107-161 (2018).
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On the expansive property of inner functions in weighted Hardy spaces. (English) Zbl 1394.47019

Agranovsky, Mark L. (ed.) et al., Complex analysis and dynamical systems VI. Part 2: Complex analysis, quasiconformal mappings, complex dynamics. Proceedings of the 6th international conference on complex analysis and dynamical systems in honor of David Shoikhet on the occasion of his sixtieth birthday, Nahariya, Israel, May 19–24, 2013. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 978-1-4704-1703-1/pbk; 978-1-4704-3206-5/ebook). Contemporary Mathematics 667. Israel Mathematical Conference Proceedings, 47-61 (2016).
MSC:  47A48 47A57 46E40
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De Branges-Rovnyak spaces and norm-constrained interpolation. (English) Zbl 1342.47022

Alpay, Daniel (ed.), Operator theory. With 51 figures and 2 tables. In 2 volumes. Basel: Springer (ISBN 978-3-0348-0666-4/print; 978-3-0348-0667-1/ebook; 978-3-0348-0668-8/print+ebook; 978-3-0348-0692-3/online (updated continuously)). Springer Reference, 681-720 (2015).
MSC:  47A57 46E22 47-02
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De Branges-Rovnyak spaces: basics and theory. (English) Zbl 1347.46018

Alpay, Daniel (ed.), Operator theory. With 51 figures and 2 tables. In 2 volumes. Basel: Springer (ISBN 978-3-0348-0666-4/print; 978-3-0348-0667-1/ebook; 978-3-0348-0668-8/print+ebook; 978-3-0348-0692-3/online (updated continuously)). Springer Reference, 631-679 (2015).
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Operator theory in harmonic and non-commutative analysis. 23rd international workshop in operator theory and its applications, IWOTA, Sydney, Australia, July 16–20, 2012. (English) Zbl 1293.47001

Operator Theory: Advances and Applications 240. Cham: Birkhäuser/Springer (ISBN 978-3-319-06265-5/hbk; 978-3-319-06266-2/ebook). viii, 256 p. (2014).
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Interpolation in sub-Bergman spaces. (English) Zbl 1300.47021

Kaashoek, Marinus A. (ed.) et al., Advances in structured operator theory and related areas. The Leonid Lerer anniversary volume on the occasion of his 70th birthday. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0638-1/hbk; 978-3-0348-0639-8/ebook). Operator Theory: Advances and Applications 237, 17-39 (2013).
MSC:  47A57 30E05 46E22
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Extension of the \(\nu\)-metric: the \(H^\infty\) case. (English) Zbl 1252.93046

Arendt, Wolfgang (ed.) et al., Spectral theory, mathematical system theory, evolution equations, differential and difference equations. Selected papers of 21st international workshop on operator theory and applications, IWOTA10, Berlin, Germany, July 12–16, 2010. Basel: Birkhäuser (ISBN 978-3-0348-0296-3/hbk; 978-3-0348-0297-0/ebook). Operator Theory: Advances and Applications 221, 121-130 (2012).
MSC:  93B36 93D10 46J15
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Canonical transfer-function realization for Schur-Agler-class functions of the polydisk. (English) Zbl 1273.47030

Dym, Harry (ed.) et al., A panorama of modern operator theory and related topics. The Israel Gohberg memorial volume. Basel: Birkhäuser (ISBN 978-3-0348-0220-8/hbk; 978-3-0348-0221-5/ebook). Operator Theory: Advances and Applications 218, 75-122 (2012).
Reviewer: Amol Sasane (Lund)
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Canonical transfer-function realization for Schur-Agler-class functions on domains with matrix polynomial defining function in \(\mathbb C^n\). (English) Zbl 1252.47007

Ball, Joseph A. (ed.) et al., Recent progress in operator theory and its applications. Proceedings of the 20th international workshop on operator theory and applications (IWOTA), Guanajuato, Mexico, September 21–25, 2009. Basel: Birkhäuser (ISBN 978-3-0348-0345-8/hbk; 978-3-0348-0346-5/ebook). Operator Theory: Advances and Applications 220, 23-55 (2012).
MSC:  47A48 47B32 47A57
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Recent progress in operator theory and its applications. Proceedings of the 20th international workshop on operator theory and applications (IWOTA), Guanajuato, Mexico, September 21–25, 2009. (English) Zbl 1235.47003

Operator Theory: Advances and Applications 220. Basel: Birkhäuser (ISBN 978-3-0348-0345-8/hbk; 978-3-0348-0346-5/ebook). ix, 342 p. (2012).
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Spectral theory, mathematical system theory, evolution equations, differential and difference equations. Selected papers of 21st international workshop on operator theory and applications, IWOTA10, Berlin, Germany, July 12–16, 2010. (English) Zbl 1245.47001

Operator Theory: Advances and Applications 221. Basel: Birkhäuser (ISBN 978-3-0348-0296-3/hbk; 978-3-0348-0297-0/ebook). x, 690 p. (2012).
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Canonical de Branges-Rovnyak model transfer-function realization for multivariable Schur-class functions. (English) Zbl 1210.47041

Mashreghi, Javad (ed.) et al., Hilbert spaces of analytic functions. Papers based on the workshop, CRM, Montréal, Canada, December 8–12, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4879-1/pbk). CRM Proceedings and Lecture Notes 51, 1-39 (2010).
MSC:  47A57 47A56 46E22
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Multivariable operator-valued Nevanlinna-Pick interpolation: a survey. (English) Zbl 1206.47019

Grobler, J.J. (ed.) et al., Operator algebras, operator theory and applications. Proceedings of the 18th international workshop on operator theory and applications (IWOTA), Potchefstroom, South Africa, July 3–6, 2007. Basel: Birkhäuser (ISBN 978-3-0346-0173-3/hbk; 978-3-0346-0174-0/ebook). Operator Theory: Advances and Applications 195, 1-72 (2010).
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Robust control, multidimensional systems and multivariable Nevanlinna-Pick interpolation. (English) Zbl 1213.47014

Ball, Joseph A. (ed.) et al., Topics in operator theory. Volume 2: Systems and mathematical physics. Proceedings of the 19th international workshop on operator theory and applications (IWOTA), College of William and Mary, Williamsburg, VA, USA, July 22–26, 2008. A tribute to Israel Gohberg on the occasion of his 80th birthday. Basel: Birkhäuser (ISBN 978-3-0346-0160-3/hbk; 978-3-0346-0163-4/set; 978-3-0346-0161-0/ebook). Operator Theory: Advances and Applications 203, 13-88 (2010).
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Topics in operator theory. Volume 2: Systems and mathematical physics. Proceedings of the 19th international workshop on operator theory and applications (IWOTA), College of William and Mary, Williamsburg, VA, USA, July 22–26, 2008. A tribute to Israel Gohberg on the occasion of his 80th birthday. (English) Zbl 1181.47003

Operator Theory: Advances and Applications 203. Basel: Birkhäuser (ISBN 978-3-0346-0160-3/hbk; 978-3-0346-0163-4/set; 978-3-0346-0161-0/ebook). ix, 444 p. (2010).
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Topics in operator theory. Volume 1: Operators, matrices and analytic functions. Proceedings of the 19th international workshop on operator theory and applications (IWOTA), College of William and Mary, Williamsburg, VA, USA, July 22–26, 2008. A tribute to Israel Gohberg on the occasion of his 80th birthday. (English) Zbl 1181.47002

Operator Theory: Advances and Applications 202. Basel: Birkhäuser (ISBN 978-3-0346-0157-3/hbk; 978-3-0346-0163-4/set; 978-3-0346-0158-0/ebook). xxxviii, 600 p. (2010).
MSC:  47-06 47B35 00B25
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Multivariable generalizations of the Schur class: Positive kernel characterization and transfer function realization. (English) Zbl 1156.47018

Ando, Tsuyoshi (ed.) et al., Recent advances in operator theory and applications. Proceedings of the international workshop on operator theory and applications (IWOTA), Seoul, Korea, July 31–August 3, 2006. Basel: Birkhäuser (ISBN 978-3-7643-8892-8/hbk). Operator Theory: Advances and Applications 187, 17-79 (2009).
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Recent advances in matrix and operator theory. Proceedings of the 16th international workshop on operator theory and applications, IWOTA, Storrs, CT, USA, 2005. (English) Zbl 1124.47001

Operator Theory: Advances and Applications 179. Basel: Birkhäuser (ISBN 978-3-7643-8538-5/hbk). vi, 338 p. (2008).
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Schur-class multipliers on the Fock space: de Branges-Rovnyak reproducing kernel spaces and transfer-function realizations. (English) Zbl 1199.47061

Bakonyi, Mihály (ed.) et al., Operator theory, structured matrices, and dilations. Tiberiu Constantinescu memorial volume. Bucharest: Theta (ISBN 978-973-87899-0-6). Theta Series in Advanced Mathematics 7, 85-114 (2007).
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Conservative structured noncommutative multidimensional linear systems. (English) Zbl 1110.47066

Alpay, Daniel (ed.) et al., The state space method generalizations and applications. Basel: Birkhäuser (ISBN 3-7643-7370-9/hbk). Operator Theory: Advances and Applications 161, 179-223 (2006).
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Lax–Phillips scattering and conservative linear system: a Cuntz-algebra multidimensional setting. (English) Zbl 1100.47008

Mem. Am. Math. Soc. 837, 101 p. (2005).
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Functional models for representations of the Cuntz algebra. (English) Zbl 1092.47012

Alpay, Daniel (ed.) et al., Operator theory, systems theory and scattering theory: multidimensional generalizations. Basel: Birkhäuser (ISBN 3-7643-7212-5/hbk). Operator Theory: Advances and Applications 157, 1-60 (2005).
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Boundary interpolation for contractive-valued functions on circular domains in \(\mathbb{C}^n\). (English) Zbl 1090.47008

Ball, Joseph A. (ed.) et al., Current trends in operator theory and its applications. Proceedings of the international workshop on operator theory and its applications (IWOTA), Virginia Tech, Blacksburg, VA, USA, August 6–9, 2002. Basel: Birkhäuser (ISBN 3-7643-7067-X/hbk). Operator Theory: Advances and Applications 149, 107-132 (2004).
MSC:  47A57 47A20 47A48
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Current trends in operator theory and its applications. Proceedings of the international workshop on operator theory and its applications (IWOTA), Virginia Tech, Blacksburg, VA, USA, August 6–9, 2002. (English) Zbl 1050.47002

Operator Theory: Advances and Applications 149. Basel: Birkhäuser (ISBN 3-7643-7067-X/hbk). xxii, 595 p. (2004).
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Formal reproducing kernel Hilbert spaces: The commutative and noncommutative settings. (English) Zbl 1084.46018

Alpay, Daniel (ed.), Reproducing kernel spaces and applications. Basel: Birkhäuser (ISBN 3-7643-0068-X/hbk). Oper. Theory, Adv. Appl. 143, 77-134 (2003).
MSC:  46E22 47A48 93C35
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Concrete interpolation of meromorphic matrix functions on Riemann surfaces. (English) Zbl 1057.30035

Alpay, Daniel et al., Interpolation theory, systems theory and related topics. The Harry Dym anniversary volume. Basel: Birkhäuser (ISBN 3-7643-6762-8/hbk). Oper. Theory, Adv. Appl. 134, 137-156 (2002).
MSC:  30E05 30F15
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Toeplitz corona problem for algebras of almost periodic functions. (English) Zbl 1052.46018

Böttcher, Albrecht (ed.) et al., Toeplitz matrices and singular integral equations. The Bernd Silbermann anniversary volume. Basel: Birkhäuser (ISBN 3-7643-6877-2/hbk). Oper. Theory, Adv. Appl. 135, 25-37 (2002).
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Hardy spaces on a finite bordered Riemann surface, multivariable operator model theory and Fourier analysis along a unimodular curve. (English) Zbl 1051.30035

Borichev, A. A. (ed.) et al., Systems, approximation, singular integral operators, and related topics. Proceedings of the 11th international workshop on operator theory and applications, IWOTA 2000, Bordeaux, France, June 13–16, 2000. Basel: Birkhäuser (ISBN 3-7643-6645-1/hbk). Oper. Theory, Adv. Appl. 129, 37-56 (2001).
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Interpolation and commutant lifting for multipliers on reproducing kernel Hilbert spaces. (English) Zbl 0983.47011

Bart, H. (ed.) et al., Operator theory and analysis. The M. A. Kaashoek anniversary volume. Proceedings of the workshop, Amsterdam, Netherlands, November 12-14, 1997. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 122, 89-138 (2001).
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Problems on the realization of functions. (English) Zbl 0986.93014

Ramm, A. G. (ed.) et al., Operator theory and its applications. Proceedings of the international conference, Winnipeg, Canada, October 7-11, 1998. Providence, RI: American Mathematical Society (AMS). Fields Inst. Commun. 25, 179-185 (2000).
MSC:  93B15 93B28 93C05
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Linear systems, operator model theory and scattering: Multivariable generalizations. (English) Zbl 0973.93021

Ramm, A. G. (ed.) et al., Operator theory and its applications. Proceedings of the international conference, Winnipeg, Canada, October 7-11, 1998. Providence, RI: American Mathematical Society (AMS). Fields Inst. Commun. 25, 151-178 (2000).
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The abstract interpolation problem and commutant lifting: A coordinate-free approach. (English) Zbl 0952.47017

Bercovici, Hari (ed.) et al., Operator theory and interpolation. International workshop, IWOTA ’96, Indiana University, Bloomington, IN, USA, June 1996. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 115, 51-83 (2000).
Reviewer: P.C.Sinha (Patna)
MSC:  47A57 47A40
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