The Octonionic Bergman Kernel for the Unit Ball
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-018-0877-4
Abstract: By introducing a suitable new definition for the inner product of the octonionic Bergman space on the unit ball, we determine the explicit form of the octonionic Bergman kernel for the unit ball, in the… read more here.
Keywords: bergman kernel; octonionic bergman; kernel unit; unit ball ... See more keywords
Integral Kähler invariants and the Bergman kernel asymptotics for line bundles
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DOI: 10.1016/j.aim.2016.12.014
Abstract: Abstract On a compact Kahler manifold, one can define global invariants by integrating local invariants of the metric. Assume that a global invariant thus obtained depends only on the Kahler class. Then we show that… read more here.
Keywords: integral hler; invariants bergman; line bundles; bergman kernel ... See more keywords
The explicit forms and zeros of the Bergman kernel for 3-dimensional Hartogs triangles
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.12.002
Abstract: Abstract We compute the Bergman kernel for H p 1 , p 2 , p 3 = { ( z 1 , z 2 , z 3 ) : | z 1 | p 1… read more here.
Keywords: explicit forms; zeros bergman; kernel dimensional; dimensional hartogs ... See more keywords
Growth of Sibony metric and Bergman kernel for domains with low regularity
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125018
Abstract: It is shown that even a weak multidimensional Suita conjecture fails for any bounded non-pseudoconvex domain with $\mathcal C^1$ boundary: the product of the Bergman kernel by the volume of the indicatrix of the Azukawa… read more here.
Keywords: growth sibony; bergman kernel; sibony metric;