Relevant bibliographies by topics / Szego kernel

Academic literature on the topic 'Szego kernel'

Author: Grafiati
Published: 10 December 2022
Last updated: 10 March 2023

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Journal articles on the topic "Szego kernel"

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Francsics, Gabor, and Nicolas Hanges. "Treves curves and the Szego kernel." Indiana University Mathematics Journal 47, no. 3 (1998): 0. http://dx.doi.org/10.1512/iumj.1998.47.1505.

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CHUNG, YOUNG-BOK. "THE BERGMAN KERNEL FUNCTION AND THE SZEGO KERNEL FUNCTION." Journal of the Korean Mathematical Society 43, no. 1 (January 1, 2006): 199–213. http://dx.doi.org/10.4134/jkms.2006.43.1.199.

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Mccullough, Scott, and Li-Chien Shen. "On the Szego Kernel of an Annulus." Proceedings of the American Mathematical Society 121, no. 4 (August 1994): 1111. http://dx.doi.org/10.2307/2161221.

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Kuranishi, Masatake. "THE FORMULA FOR THE SINGULARITY OF SZEGO KERNEL : I." Journal of the Korean Mathematical Society 40, no. 4 (July 1, 2003): 641–66. http://dx.doi.org/10.4134/jkms.2003.40.4.641.

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Bell, Steven R. "Simplicity of the Bergman, Szego and Poisson kernel functions." Mathematical Research Letters 2, no. 3 (1995): 267–77. http://dx.doi.org/10.4310/mrl.1995.v2.n3.a4.

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Diaz, Katharine Perkins. "The Szego Kernel as a Singular Integral Kernel on a Family of Weakly Pseudoconvex Domains." Transactions of the American Mathematical Society 304, no. 1 (November 1987): 141. http://dx.doi.org/10.2307/2000708.

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Francsics, Gabor, and Nicholas Hanges. "Explicit Formulas for the Szego Kernel on Certain Weakly Pseudoconvex Domains." Proceedings of the American Mathematical Society 123, no. 10 (October 1995): 3161. http://dx.doi.org/10.2307/2160676.

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Chang, Der-Chen, Xuan Thinh Duong, Ji Li, Wei Wang, and Qingyan Wu. "An explicit formula of Cauchy-Szego kernel for quaternionic Siegel upper half space and applications." Indiana University Mathematics Journal 70, no. 6 (2021): 2451–77. http://dx.doi.org/10.1512/iumj.2021.70.8732.

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Speransky, K. S. "On the convergence of the order-preserving weak greedy algorithm for subspaces generated by the Szego kernel in the Hardy space." Izvestia of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics 21, no. 3 (August 25, 2021): 336–42. http://dx.doi.org/10.18500/1816-9791-2021-21-3-336-342.

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Gafai, Nuraddeen S., Ali H. M. Murid, and Nur H. A. A. Wahid. "Infinite Product Representation for the Szegö Kernel for an Annulus." Journal of Function Spaces 2022 (April 12, 2022): 1–9. http://dx.doi.org/10.1155/2022/3763450.

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The Szegö kernel has many applications to problems in conformal mapping and satisfies the Kerzman-Stein integral equation. The Szegö kernel for an annulus can be expressed as a bilateral series and has a unique zero. In this paper, we show how to represent the Szegö kernel for an annulus as a basic bilateral series (also known as q -bilateral series). This leads to an infinite product representation through the application of Ramanujan’s sum. The infinite product clearly exhibits the unique zero of the Szegö kernel for an annulus. Its connection with the basic gamma function and modified Jacobi theta function is also presented. The results are extended to the Szegö kernel for general annulus and weighted Szegö kernel. Numerical comparisons on computing the Szegö kernel for an annulus based on the Kerzman-Stein integral equation, the bilateral series, and the infinite product are also presented.
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Dissertations / Theses on the topic "Szego kernel"

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UCCHEDDU, DARIA. "The vanishing of the log term of the Szego kernel and Tian–Yau–Zelditch expansion." Doctoral thesis, Università degli Studi di Cagliari, 2015. http://hdl.handle.net/11584/266591.

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This thesis consists in two results. In [Z. Lu, G. Tian, The log term of Szego kernel, Duke Math. J. 125, N 2 (2004), 351-387], the authors conjectured that given a Kähler form ω on CPn in the same cohomology class of the Fubini–Study form ωFS and considering the hyperplane bundle (L; h) with Ric(h) = ω, if the log–term of the Szego kernel of the unit disk bundle Dh L vanishes, then there is an automorphism φ : CPn → CPn such that φω = ωFS. The first result of this thesis consists in showing a particular family of rotation invariant forms on CP2 that confirms this conjecture. In the second part of this thesis we find explicitly the Szego kernel of the Cartan–Hartogs domain and we show that this non–compact manifold has vanishing log–term. This result confirms the conjecture of Z. Lu for which if the coefficients aj of the TYZ expansion of the Kempf distortion function of a n– dimensional non–compact manifold M vanish for j > n, then the log–term of the disk bundle associated to M is zero.
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CAMOSSO, SIMONE. "Scaling asymptotics of Szego kernels under commuting Hamiltonian actions." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2015. http://hdl.handle.net/10281/77488.

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Let M be a connected d-dimensional complex projective manifold, and let A be a holomorphic positive Hermitian line bundle on M, with normalized curvature. Let G be a compact and connected Lie group of dimension d(G), and let T be a compact torus T of dimension d(T). Suppose that both G and T act on M in a holomorphic and Hamiltonian manner, that the actions commute, and linearize to A. If X is the principal circle-bundle associated to A, then this set-up determines commuting unitary representations of G and T on the Hardy space H(X) of X, which may then be decomposed over the irreducible representations of the two groups. If the moment map for the T-action is nowhere zero, all isotypical components for the torus are finite-dimensional, and thus provide a collection of finite-dimensional G-modules. Given a non-zero integral weight n(T) for T, we consider the isotypical components associated to the multiples kn(T), k that goes to infinity, and focus on how their structure as G-modules is reflected by certain local scaling asymptotics on X (and M). More precisely, given a fixed irreducible character n(G) of G, we study the local scaling asymptotics of the equivariant Szegő projectors associated to n(G) and kn(T), for k that goes to infinity, investigating their asymptotic concentration along certain loci defined by the moment maps.
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GALASSO, ANDREA. "Non Abelian Asymptotics of Szego Kernels on Compact Quantized Manifolds." Doctoral thesis, Università degli studi di Pavia, 2018. http://hdl.handle.net/11571/1228750.

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Let M be a complex projective manifold with a positive line bundle A on it. The circle bundle X, inside the dual of A, is a contact and CR manifold by positivity of A. The Hardy space H(X) is a closed subspace of L^2(X), the associated projector is called the Szego projector. Let us suppose that a group G acts on M in a Hamiltonian and holomorphic fashion and that the action linearizes to a contact action on X preserving the CR structure. Thus there is an unitary action on H(X); the isotypes are finite dimensional under certain assumptions, so that the corresponding orthogonal projectors have smooth kernels. One is led to study the local asymptotics of the equivariant projectors pertaining to the irreducible representations in a given ray in weight space. In this thesis we consider the case of special unitary group SU(2) and unitary group U(2).
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Wu, Kuang-Ru, and 吳侊儒. "A note on an asymptotic expansion of the Szego kernel." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/89982895369207079219.

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碩士
國立臺灣大學
數學研究所
101
Two methods about asymptotic expansion of sections are studied in this note. One is by PDE, the other is by complex geometry. I simplify and modify some proofs in the papers by S. Zelditch and Z. Lu. The main goal is to describe the behavior of the expansion such as how the expansion relates to the underlying manifold, and to compare these two different methods.
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Books on the topic "Szego kernel"

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Thurston, Dylan P., and Chin-Yu Hsiao. Szego Kernel Asymptotics for High Power of CR Line Bundles and Kodaira Embedding Theorems on CR Manifolds. American Mathematical Society, 2018.

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Book chapters on the topic "Szego kernel"

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Cegrell, Urban. "Szegö Kernels." In Capacities in Complex Analysis, 116–47. Wiesbaden: Vieweg+Teubner Verlag, 1988. http://dx.doi.org/10.1007/978-3-663-14203-4_12.

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Pasternak-Winiarski, Zbigniew, and Tomasz Lukasz Zynda. "Weighted Szegő Kernels." In Trends in Mathematics, 151–57. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-63594-1_16.

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Uehara, Masahiro. "The Nehari problem for the weighted Szegő kernels." In Reproducing Kernels and their Applications, 213–21. Boston, MA: Springer US, 1999. http://dx.doi.org/10.1007/978-1-4757-2987-0_17.

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Epstein, C. L. "Bergman and Szegö Kernels, CR Analysis." In Louis Boutet de Monvel, Selected Works, 483–583. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-27909-1_7.

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Krantz, Steven G. "More on the Bergman and Szegő Kernels." In Springer Monographs in Mathematics, 131–93. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-63231-5_6.

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Christ, Michael. "Remarks on the Breakdown of Analyticity for ∂b and Szegö Kernels." In ICM-90 Satellite Conference Proceedings, 61–78. Tokyo: Springer Japan, 1991. http://dx.doi.org/10.1007/978-4-431-68168-7_6.

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Żynda, Tomasz Łukasz. "Weighted generalization of the Szegö kernel and how it can be used to prove general theorems of complex analysis." In Trends in Mathematics, 212–18. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-34072-8_23.

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"The Szego˝ kernel function." In The Cauchy Transform, Potential Theory and Conformal Mapping, 40–45. Chapman and Hall/CRC, 2015. http://dx.doi.org/10.1201/b19222-10.

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"The Bergman kernel and the Szego˝ kernel." In The Cauchy Transform, Potential Theory and Conformal Mapping, 148–53. Chapman and Hall/CRC, 2015. http://dx.doi.org/10.1201/b19222-28.

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"Zeroes of the Szego˝ kernel." In The Cauchy Transform, Potential Theory and Conformal Mapping, 162–65. Chapman and Hall/CRC, 2015. http://dx.doi.org/10.1201/b19222-30.

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Conference papers on the topic "Szego kernel"

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Li, Shuang. "System Identification Based on Szego Kernels." In 2021 International Conference on Machine Learning and Intelligent Systems Engineering (MLISE). IEEE, 2021. http://dx.doi.org/10.1109/mlise54096.2021.00078.

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Georgiev, S., and J. Morais. "An explicit formula for the monogenic Szegö kernel function on 3D spheroids." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756120.

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Wahid, Nur Hazwani Aqilah Abdul, and Ali Hassan Mohamed Murid. "Convergence of the series for the Szegӧ kernel for an annulus region." In PROCEEDING OF THE 25TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM25): Mathematical Sciences as the Core of Intellectual Excellence. Author(s), 2018. http://dx.doi.org/10.1063/1.5041669.

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