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Generalization of Titchmarsh’s theorem for the Fourier transform in the Space \(\mathrm {L}^{2}(\mathbb {R}^{n})\)

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Abstract

In this paper, we prove the generalization of Titchmarsh’s theorem for the Fourier transform for functions satisfying the \((n,\alpha )\)-Fourier Lipschitz condition in the space \(\mathrm {L}^{2}(\mathbb {R}^{n})\).

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References

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Correspondence to M. El Hamma.

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Dedicated to Professor François Rouvière for his 70’s birthday.

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Daher, R., Boujeddaine, M. & Hamma, M.E. Generalization of Titchmarsh’s theorem for the Fourier transform in the Space \(\mathrm {L}^{2}(\mathbb {R}^{n})\) . Afr. Mat. 27, 753–758 (2016). https://doi.org/10.1007/s13370-015-0368-x

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  • DOI: https://doi.org/10.1007/s13370-015-0368-x

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