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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.…