Добірка наукової літератури з теми "Symmetrized bidisk"
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Статті в журналах з теми "Symmetrized bidisk"
Bhattacharyya, Tirthankar, and Haripada Sau. "Interpolating sequences and the Toeplitz--Corona theorem on the symmetrized bidisk." Journal of Operator Theory 87, no. 1 (March 15, 2022): 435–59. http://dx.doi.org/10.7900/jot.2020oct07.2311.
Повний текст джерелаBhattacharyya, Tirthankar, and Haripada Sau. "Holomorphic functions on the symmetrized bidisk – Realization, interpolation and extension." Journal of Functional Analysis 274, no. 2 (January 2018): 504–24. http://dx.doi.org/10.1016/j.jfa.2017.09.013.
Повний текст джерелаAgler, J., and N. J. Young. "Operators having the symmetrized bidisc as a spectral set." Proceedings of the Edinburgh Mathematical Society 43, no. 1 (February 2000): 195–210. http://dx.doi.org/10.1017/s0013091500020812.
Повний текст джерелаSarkar, Jaydeb. "Operator Theory on Symmetrized Bidisc." Indiana University Mathematics Journal 64, no. 3 (2015): 847–73. http://dx.doi.org/10.1512/iumj.2015.64.5541.
Повний текст джерелаTrybuła, Maria. "Invariant metrics on the symmetrized bidisc." Complex Variables and Elliptic Equations 60, no. 4 (August 28, 2014): 559–65. http://dx.doi.org/10.1080/17476933.2014.948543.
Повний текст джерелаCOSTARA, C. "THE SYMMETRIZED BIDISC AND LEMPERT'S THEOREM." Bulletin of the London Mathematical Society 36, no. 05 (August 24, 2004): 656–62. http://dx.doi.org/10.1112/s0024609304003200.
Повний текст джерелаPflug, Peter, and Włodzimierz Zwonek. "Exhausting domains of the symmetrized bidisc." Arkiv för Matematik 50, no. 2 (October 2012): 397–402. http://dx.doi.org/10.1007/s11512-011-0153-5.
Повний текст джерелаBhattacharyya, Tirthankar, Anindya Biswas, and Anwoy Maitra. "On the geometry of the symmetrized bidisc." Indiana University Mathematics Journal 71, no. 2 (2022): 685–713. http://dx.doi.org/10.1512/iumj.2022.71.8896.
Повний текст джерелаAgler, Jim, Zinaida A. Lykova, and N. J. Young. "Extremal holomorphic maps and the symmetrized bidisc." Proceedings of the London Mathematical Society 106, no. 4 (October 26, 2012): 781–818. http://dx.doi.org/10.1112/plms/pds049.
Повний текст джерелаAgler, J., and N. J. Young. "A Schwarz Lemma for the Symmetrized Bidisc." Bulletin of the London Mathematical Society 33, no. 2 (March 2001): 175–86. http://dx.doi.org/10.1112/blms/33.2.175.
Повний текст джерелаДисертації з теми "Symmetrized bidisk"
Lin, Cheng-Tsai, and 林成財. "Schwarz Lemma on Symmetrized Bidisc." Thesis, 2001. http://ndltd.ncl.edu.tw/handle/05462082649779495998.
Повний текст джерела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, and 林天得. "Spectral Nevanlinna-Pick Interpolation On Symmetrized Bidisc." Thesis, 2001. http://ndltd.ncl.edu.tw/handle/94495204389019542431.
Повний текст джерела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, and 林俊銘. "Realization of Spectral Nevanlinna-Pick Interpolation Problem on Symmetrized Bidisc." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/40559244736778567050.
Повний текст джерела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.
Повний текст джерелаChen, Chun Ming, and 陳駿銘. "The Graphics of Symmetrized Bidiscs and Spectral Interpolating Functions." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/85112132699826651919.
Повний текст джерела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
Книги з теми "Symmetrized bidisk"
Young, Nicholas, Jim Agler, and Zinaida Lykova. Geodesics, Retracts, and the Norm-Preserving Extension Property in the Symmetrized Bidisc. American Mathematical Society, 2019.
Знайти повний текст джерелаЧастини книг з теми "Symmetrized bidisk"
Agler, Jim, Zinaida A. Lykova, and N. J. Young. "Carathéodory extremal functions on the symmetrized bidisc." In 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.
Повний текст джерелаAgler, J., F. B. Yeh, and N. J. Young. "Realization of Functions into the Symmetrised Bidisc." In Reproducing Kernel Spaces and Applications, 1–37. Basel: Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-8077-0_1.
Повний текст джерела"Model Theory on the Symmetrized Bidisc." In Operator Analysis, 169–88. Cambridge University Press, 2020. http://dx.doi.org/10.1017/9781108751292.008.
Повний текст джерела