Keyword

Bergman kernel

Description: The Bergman kernel is a function in complex analysis that reproduces holomorphic functions in spaces equipped with a suitable inner product.

Primary topic: Holomorphic and Operator Theory (64%)

Wikidata ID: wiki/Q3345664

OpenAlex ID: keywords/bergman-kernel

Theory of reproducing kernels

1950 · N. Aronszajn · Transactions of the American Mathematical Society · 5,419

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Functions of One Complex Variable

1973 · John B. Conway · Graduate texts in mathematics · 1,119

The Bergman kernel and biholomorphic mappings of pseudoconvex domains

1974 · Charles Fefferman · Inventiones mathematicae · 701

Theory of Reproducing Kernels

1950 · N. Aronszajn · Transactions of the American Mathematical Society · 495

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1998 · Steve Zelditch · International Mathematics Research Notices · 484

On the existence of a complete Kähler metric on non‐compact complex manifolds and the regularity of fefferman's equation

1980 · Shiu‐Yuen Cheng, Shing‐Tung Yau · Communications on Pure and Applied Mathematics · 460

On the extension ofL 2 holomorphic functions

1987 · Takeo Ohsawa, Kensho Takegoshi · Mathematische Zeitschrift · 400

Bergman Spaces

2004 · Peter Duren, Alexander Schuster · Mathematical surveys and monographs · 380

Holomorphic Morse Inequalities and Bergman Kernels

2007 · Xiaonan Ma, George Marinescu · Birkhäuser Basel eBooks · 352

Monge-Ampere Equations, the Bergman Kernel, and Geometry of Pseudoconvex Domains

1976 · Charles L. Fefferman · Annals of Mathematics · 335

The Segal-Bargmann "Coherent State" Transform for Compact Lie Groups

1994 · B.C. Hall · Journal of Functional Analysis · 321

Sur la singularité des noyaux de Bergman et de Szegö

1975 · Louis Boutet de Monvel, Johannes Sjöstrand · Journées Équations aux dérivées partielles · 295

Harmonic Integrals on Strongly Pseudo-Convex Manifolds, I

1963 · J. J. Kohn · Annals of Mathematics · 267

Boundary behavior of $\delta $ on weakly pseudo-convex manifolds of dimension two

1972 · J. J. Kohn · Journal of Differential Geometry · 243

On the lower order terms of the asymptotic expansion of Tian-Yau-Zelditch

2000 · Zhiqin Lu · American Journal of Mathematics · 238

The Bergman Kernel and a Theorem of Tian

1999 · David Catlin · Birkhäuser Boston eBooks · 237

Hankel Operators on Weighted Bergman Spaces

1988 · J. Arazy, S. D. Fisher, et al. · American Journal of Mathematics · 231

Subelliptic Estimates for the $\overline \partial$-Neumann Problem on Pseudoconvex Domains

1987 · David Catlin · Annals of Mathematics · 222

Estimates for the Bergman and Szego Kernels in C 2

1989 · A. Nagel, J. P. Rosay, et al. · Annals of Mathematics · 207

Estimates on the Bergman Kernels of Convex Domains

1994 · J.D. Mcneal · Advances in Mathematics · 203

Bergman kernels and the pseudoeffectivity of relative canonical bundles

2008 · Bo Berndtsson, Mihai Păun · Duke Mathematical Journal · 197

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L 2 -Cohomology and Index Theorem for the Bergman Metric

1983 · Harold Donnelly, Charles Fefferman · Annals of Mathematics · 182

Function theory of one complex variable

1997 · Greene, Robert Everist 1943-, Krantz, Steven G. 1951- · Choice Reviews Online · 167

Suita conjecture and the Ohsawa-Takegoshi extension theorem

2012 · Zbigniew Błocki · Inventiones mathematicae · 158

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An Introduction to Riemann Surfaces

2011 · Terrence Napier, Mohan Ramachandran · Birkhäuser Boston eBooks · 152

Works count: 2,343

Citation count: 30,290