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Estimates for the asymptotic behavior of the constants in the Bohnenblust--Hille inequality
Absolutely summing operators Bohnenblust–Hille Theorem Functional Analysis
2011/9/20
Abstract: A classical inequality due to H.F. Bohnenblust and E. Hille states that for every positive integer $n$ there is a constant $C_{n}>0$ so that $$(\sum\limits_{i_{1},...,i_{n}=1}^{N}|U(e_{i_{^{...
Critical behavior of non-intersecting Brownian motions at a tacnode
non-intersecting Brownian motion determinantal point process
2010/12/6
We study a model of n one-dimensional non-intersecting Brownian motions with two prescribed starting points at time t = 0 and two prescribed ending points at time t = 1 in a critical regime where the ...
The Linear Mean Value of the Remainder Term in the Problem of Asymptotic Behavior of Eigenfunctions of the Automorphic Laplacian
Linear Mean Value Automorphic Laplacian Remainder Term
2010/3/5
The purpose of this paper is to obtain the estimate for the average mean value of the remainder term of the asymptotic formula for the quadratic mean value of the Fourier coefficients of the eigenfunc...