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A Projective-to-Conformal Fefferman-Type Construction
We study a Fefferman-type construction based on the inclusion of Lie groups SL on the constructed conformal space. We obtain a complete characterisation of the constructed conformal spaces in terms of these solutions to ove...
Pure mathematics
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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Toeplitz operators and weighted Bergman kernels
of Sobolev spaces of holomorphic functions of any real order. This generalizes the classical result of Fefferman for the unweighted Bergman kernel....
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Translation to Bundle Operators
We give explicit formulas for conformally invariant operators with leading term an $m$-th power of Laplacian on the product of spheres with the natural pseudo-Riemannian product metric for all $m$....
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Fefferman-Graham ambient metrics of Patterson-Walker metrics
Given an n-dimensional manifold N with an affine connection D, we show that the associated Patterson-Walker metric g on TN admits a global and explicit Fefferman-Graham that Patterson-Walker metrics have vanishing Fefferman-Graham o...
Pure mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
An excursion into Berezin–Toeplitz quantization and related topics
We present an introduction to the Berezin and Berezin–Toeplitz quantizations, starting from their historical origins and relationships with other quantization methods, discussing various instructive examples like the Segal–Bargmann–Fock space
BA - Obecná matematika
- 2016 •
- C •
- Link
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C - Kapitola v odborné knize
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Contact projective structures and chains
D.J. Fox associated to a contact projective structure a canonical projective structure on the same manifold. We interpret Fox's construction in terms of the equivalent parabolic (Cartan) geometries, showing that it is an analog of Fefferman's
Pure mathematics
- 2010 •
- Jimp
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Ramadanov conjecture and line bundles over compact Hermitian symmetric spaces
We compute the Szego kernels of the unit circle bundles of homogeneous negative line bundles over a compact Hermitian symmetric space. We prove that their logarithmic terms vanish in all cases and, further, that the circle bundles domains on...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Finite reflection groups and the Dunkl-Laplace differential-difference operators in conformal geometry
be regarded as a deformation of the Fefferman-Graham ambient metric construction of GJMS...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Real-analytic coordinates for smooth strictly pseudoconvex CR-structures
-jets. We also express this condition in equivalent terms for a Fefferman type...
Pure mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Modified conformal extensions
an explicit geometrically constructed Fefferman-Graham ambient metric and show...
Pure mathematics
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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