An Analog of Titchmarsh's Theorem for the Fourier-Walsh Transform

作者：Platonov S S^*

来源：Mathematical Notes, 2018, 103(1-2): 96-103.

DOI：10.1134/S000143461801011X

• Fourier-Walsh transform
• Lipschitz conditions
• dyadic harmonic analysis

Using the Fourier-Walsh transform on a"e(+) = [0,+a), we prove a dyadic analog of the classical Titchmarsh theorem on the description of the image under the Fourier transformation of the set of functions satisfying the Lipschitz condition in L (2).

• 出版日期2018-1