Literatura académica sobre el tema "Symmetrized bidisk"
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Artículos de revistas sobre el tema "Symmetrized bidisk"
Bhattacharyya, Tirthankar y Haripada Sau. "Interpolating sequences and the Toeplitz--Corona theorem on the symmetrized bidisk". Journal of Operator Theory 87, n.º 1 (15 de marzo de 2022): 435–59. http://dx.doi.org/10.7900/jot.2020oct07.2311.
Texto completoBhattacharyya, Tirthankar y Haripada Sau. "Holomorphic functions on the symmetrized bidisk – Realization, interpolation and extension". Journal of Functional Analysis 274, n.º 2 (enero de 2018): 504–24. http://dx.doi.org/10.1016/j.jfa.2017.09.013.
Texto completoAgler, J. y N. J. Young. "Operators having the symmetrized bidisc as a spectral set". Proceedings of the Edinburgh Mathematical Society 43, n.º 1 (febrero de 2000): 195–210. http://dx.doi.org/10.1017/s0013091500020812.
Texto completoSarkar, Jaydeb. "Operator Theory on Symmetrized Bidisc". Indiana University Mathematics Journal 64, n.º 3 (2015): 847–73. http://dx.doi.org/10.1512/iumj.2015.64.5541.
Texto completoTrybuła, Maria. "Invariant metrics on the symmetrized bidisc". Complex Variables and Elliptic Equations 60, n.º 4 (28 de agosto de 2014): 559–65. http://dx.doi.org/10.1080/17476933.2014.948543.
Texto completoCOSTARA, C. "THE SYMMETRIZED BIDISC AND LEMPERT'S THEOREM". Bulletin of the London Mathematical Society 36, n.º 05 (24 de agosto de 2004): 656–62. http://dx.doi.org/10.1112/s0024609304003200.
Texto completoPflug, Peter y Włodzimierz Zwonek. "Exhausting domains of the symmetrized bidisc". Arkiv för Matematik 50, n.º 2 (octubre de 2012): 397–402. http://dx.doi.org/10.1007/s11512-011-0153-5.
Texto completoBhattacharyya, Tirthankar, Anindya Biswas y Anwoy Maitra. "On the geometry of the symmetrized bidisc". Indiana University Mathematics Journal 71, n.º 2 (2022): 685–713. http://dx.doi.org/10.1512/iumj.2022.71.8896.
Texto completoAgler, Jim, Zinaida A. Lykova y N. J. Young. "Extremal holomorphic maps and the symmetrized bidisc". Proceedings of the London Mathematical Society 106, n.º 4 (26 de octubre de 2012): 781–818. http://dx.doi.org/10.1112/plms/pds049.
Texto completoAgler, J. y N. J. Young. "A Schwarz Lemma for the Symmetrized Bidisc". Bulletin of the London Mathematical Society 33, n.º 2 (marzo de 2001): 175–86. http://dx.doi.org/10.1112/blms/33.2.175.
Texto completoTesis sobre el tema "Symmetrized bidisk"
Lin, Cheng-Tsai y 林成財. "Schwarz Lemma on Symmetrized Bidisc". Thesis, 2001. http://ndltd.ncl.edu.tw/handle/05462082649779495998.
Texto completo東海大學
數學系
89
Let $\Gamma$ denote the set of symmetrized bidisc. In this thesis we discuss the Schwarz lemma on $\Gamma$ also known as the special flat problem on $\Gamma$ as: Given $\alpha_{2}\in\mathbb{D},~\alpha_{2}\neq0~$ and $(s_{2},p_{2})\in\Gamma$, find an analytic function $\varphi:\mathbb{D}\rightarrow\Gamma$with $\varphi(\lambda)=(s(\lambda),p(\lambda))$ satisfies $$\varphi(0)=(0,0),~\varphi(\alpha_{2})=(s_{2},p_{2})$$ Based on the equality of Carath\'odory and Kobayashi distances, and the Schur's theorem, we construct an analytic function $\varphi$ to solve this problem. Keywords: Spectral Nevanlinna-Pick interpolation, Poincar\'{e} distance, Carath\'odory distance, Kobayashi distance, Symmetrized bidisc, Schwarz lemma.
Lin, Tien-De y 林天得. "Spectral Nevanlinna-Pick Interpolation On Symmetrized Bidisc". Thesis, 2001. http://ndltd.ncl.edu.tw/handle/94495204389019542431.
Texto completo東海大學
數學系
89
Consider symmetrized bidisc $\Gamma_{2}$:% $$\Gamma_{2}\triangleq \{(s,p):\lambda^{2}-s\lambda+p=0,~\lambda \in \mathbb{C},~|\lambda|\leq1\}$$% and spectral Nevanlinna-Pick Interpolation non-flat problem on it as:\\ % Given $\alpha_{1},~\alpha_{2} \in \mathbb{D},~(s_{1},0),~(s_{2},0) % \in {\rm Int}~\Gamma_{2} $,% $\varphi : \mathbb{D} \longrightarrow {\rm Int}~\Gamma_{2}$,is analytic,% ~such that~$\varphi(\alpha_{1}) = (s_{1},0)$,$\varphi(\alpha_{2}) = (s_{2},~0)$,% ~by the equality of Carath$\acute{e}$odory and Kobayashi distances,% ~and Schur theorem, ~we can find $\varphi$ that we want.
Lin, Chun-Ming y 林俊銘. "Realization of Spectral Nevanlinna-Pick Interpolation Problem on Symmetrized Bidisc". Thesis, 2003. http://ndltd.ncl.edu.tw/handle/40559244736778567050.
Texto completo東海大學
數學系
91
In this paper we discuss the two-point spectral Nevanlinna-Pick interpolation problem for 2 2 general case by using the previous results of T.D.Lin[13], C.T.Lin[8] and Yeh[9]: Given distinct , , , ,find an analytic function such that and it's realization.
Sau, Haripada. "Operator Theory on Symmetrized Bidisc and Tetrablock-some Explicit Constructions". Thesis, 2015. http://etd.iisc.ernet.in/2005/3887.
Texto completoChen, Chun Ming y 陳駿銘. "The Graphics of Symmetrized Bidiscs and Spectral Interpolating Functions". Thesis, 2010. http://ndltd.ncl.edu.tw/handle/85112132699826651919.
Texto completo東海大學
數學系
98
The symmetrrized bidisc is defined as the set of two coefficients of a quadratic equation with its roots located inside the unit disc. In this thesis, a matlab-based GUI is developed to the graphs of the symmetrized bidisc and associated spectral interpolating functions. Since the symmetrized bidisc belongs to C^2, its 3D projection is plotted as the real or imaginary part of one variable is fixed. By the way, the graph of the symmetrized bidisc is also shown when the radius of the root's location changes. Furthermorre, two kinds of approaches are used to construct the spectral interoplating function defined on the symmetrized bidisc are introduced and their graphs are depicted as well. Once the interpolating function is computed, we demo how to construct the interpolation function to solve the two-by-two spectral Nevanlinna-Pick problem. Keywords: unit disc, symmetrized bidisc, quadratic equation, matlab, GUI, spectral Nevanlinna- Pick interpolation problemn
Libros sobre el tema "Symmetrized bidisk"
Young, Nicholas, Jim Agler y Zinaida Lykova. Geodesics, Retracts, and the Norm-Preserving Extension Property in the Symmetrized Bidisc. American Mathematical Society, 2019.
Buscar texto completoCapítulos de libros sobre el tema "Symmetrized bidisk"
Agler, Jim, Zinaida A. Lykova y N. J. Young. "Carathéodory extremal functions on the symmetrized bidisc". En Operator Theory, Analysis and the State Space Approach, 1–21. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-04269-1_1.
Texto completoAgler, J., F. B. Yeh y N. J. Young. "Realization of Functions into the Symmetrised Bidisc". En Reproducing Kernel Spaces and Applications, 1–37. Basel: Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-8077-0_1.
Texto completo"Model Theory on the Symmetrized Bidisc". En Operator Analysis, 169–88. Cambridge University Press, 2020. http://dx.doi.org/10.1017/9781108751292.008.
Texto completo