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Displaying similar documents to “On a semigroup of measures with irregular densities”

Oscillations of anharmonic Fourier series and the wave equation.

Alain Haraux, Vilmos Komornik (1985)

Revista Matemática Iberoamericana

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In this paper we have collected some partial results on the sign of u(t,x) where u is a (sufficiently regular) solution of ⎧     utt + (-1)m Δmu = 0     (t,x) ∈ R x Ω ⎨ ⎩     u|Γ = ... = Δm-1 u|Γ = 0     t ∈ R. These results rely on the study of a sign of almost periodic functions of a special...

A remark on Whittaker functions on SL ( n , ℝ )

Taku Ishii (2005)

Annales de l’institut Fourier

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We prove the recursive integral formula of class one M -Whittaker functions on SL ( n , ℝ ) conjectured and verified in case of n = 3 , 4 by Stade.

Orthogonal polynomials and middle Hankel operators on Bergman spaces

Lizhong Peng, Richard Rochberg, Zhijian Wu (1992)

Studia Mathematica

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We introduce a sequence of Hankel style operators H k , k = 1,2,3,..., which act on the Bergman space of the unit disk. These operators are intermediate between the classical big and small Hankel operators. We study the boundedness and Schatten-von Neumann properties of the H k and show, among other things, that H k are cut-off at 1/k. Recall that the big Hankel operator is cut-off at 1 and the small Hankel operator at 0.

Tail and moment estimates for some types of chaos

Rafał Latała (1999)

Studia Mathematica

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Let X i be a sequence of independent symmetric real random variables with logarithmically concave tails. We consider a variable X = ∑ i ≠ j a i , j X i X j , where a i , j are real numbers. We derive approximate formulas for the tails and moments of X and of its decoupled version, which are exact up to some universal constants.