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The spectrum of the Hausdorff operator on a subspace of L2(ℝ)
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S. K. Upadhyay
Published/Copyright:
April 2, 2013
Abstract
In this paper the space G2(ℝ) is introduced and the boundedness, normality and spectral properties of the Hausdorff operator Hϕ; acting on the space G2(ℝ) is investigated by using the theory of Fourier transform and Hilbert transform. Existence of spectrum of the Hausdorff operator on G2(ℝ) is obtained.
Published Online: 2013-04-02
Published in Print: 2013-03
© by Oldenbourg Wissenschaftsverlag, München, Germany
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Keywords for this article
Fourier transform;
Hilbert transform;
Hausdorff operator;
normal operator;
spectrum
Articles in the same Issue
- Uniform spacing of zeros of orthogonal polynomials for locally doubling measures
- A uniqueness polynomial for equi-polar meromorphic functions
- The spectrum of the Hausdorff operator on a subspace of L2(ℝ)
- An application of q-mathematics on absolute summability of orthogonal series
- On proofs for monotonicity of a function involving the psi and exponential functions
- On the (M,λn) method of summability
- Developments of the theory of generalized functions or distributions – A vision of Paul Dirac
