21 citations · 109 across the 36 of their papers we have counts for
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math.CV2000
Zeros of Gaussian Analytic Functions
Mikhail Sodin
We prove and discuss three results on zero distribution of gaussian analytic functions: (i) the Edeleman-Kostlan formula for the expectation of the counting measure; (ii) a variati…
math.CV2000
Variations on the theme of Marcinkiewicz' inequality
V. Matsaev, I. Ostrovskii, M. Sodin
We present a new approach to the Marcinkiewicz interpolation inequality for the distribution function of the Hilbert transform, and prove an "abstract" version of this inequality.…
math.SP2000★ 2 cited
Entire functions and compact operators with -imaginary component
Vladimir Matsaev, Mikhail Sodin
We study operators of the form X+Y where Y has a finite p-th Schatten norm (p<2), and X is self-adjoint and of Hilbert-Schmidt class. Our study is based on new theorems on zero dis…