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Titchmarsh’s theorems for the general double-sided orthogonal 2D-plans split QFT. (English) Zbl 1516.43005

Summary: In this paper, we prove both of the Titchmarsh’s theorems associated with the general double-sided orthogonal 2D-planes split Quaternionic Fourier Transform. We conclude the first one associated with the short-time general double-sided orthogonal 2D-planes split quaternionic Fourier Transform.

MSC:

43A32 Other transforms and operators of Fourier type
42B10 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
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References:

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