Sampling in Weighted Lp Spaces of Entire Functions in Cn and Estimates of the Bergman Kernel

By N. Lindholm. 2001

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Bergman kernels and local holomorphic Morse inequalities (2002, background): “See also [ 15 ] where the manifold is C n and [5] where the complex structure is non-integrable.”
On the asymptotic expansion of Bergman kernel (2004, background): “where p is the power of the line bundle L). On the other hand, in the holomorphic setting, in [19], Christ (and Lindholm in [ 25 ]) proved an Agmon type estimate for the Szeg¨o kernel on C1, but they did not treat the asymptotic expansions.”
History and Evolution of the Density Theorem for Gabor Frames (2007, unknown): “We refer to Seip’s text [167] for a recent discussion of results on sampling and interpolation, and to [146] for recent results in higher dimensions.”
Interpolating and sampling sequences for entire functions (2002, background): “The classical Fock space has been studied in [MT00] and the weighted scenario in [ Lin01 ].”
Exponential estimate for the asymptotics of Bergman kernels (2013, unknown): “3) with k = 0 was basically obtained by [5] for n = 1, [8,12] for n 1.”