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Imaginary powers of a Laguerre differential operator

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Publication:624191
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DOI10.1007/s10474-009-8203-1zbMath1224.42082OpenAlexW2088944554MaRDI QIDQ624191

Błażej Wróbel

Publication date: 8 February 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-009-8203-1


zbMATH Keywords

Calderón-Zygmund operatorimaginary power of a Laguerre differential operatorLaguerre function expansion


Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)


Related Items

On \(g\)-functions for Laguerre function expansions of Hermite type ⋮ Laplace type multipliers for Laguerre expansions of Hermite type



Cites Work

  • Unnamed Item
  • Higher Riesz transforms and imaginary powers associated to the harmonic oscillator
  • Riesz transforms and conjugacy for Laguerre function expansions of Hermite type
  • Poisson integrals and Riesz transforms for Hermite function expansions with weights.
  • Rational Bounds for Ratios of Modified Bessel Functions
  • Heat-diffusion and Poisson integrals for Laguerre and special Hermite expansions on weighted Lpspaces


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