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What is Walsh-Fourier Transform on Real Line about?

This document summarizes a research article about extending the Walsh-Fourier transform from the nonnegative real line to the entire real line. It introduces a "triadic field" representation of real numbers as infinite sequences of -1, 0, 1 digits, allowing real numbers to be added modulo 3. It then defines Walsh-like functions on the real line using this representation. The Walsh-Fourier transform of an L1 function on the real line is then defined using these Walsh-like functions, extending the transform t

Author

Engdasew Birhane

Language

EN