The study of Hilbert transforms and oscillatory integrals has long been a focal point in harmonic analysis, embedding profound implications across pure and applied mathematics. The Hilbert transform, ...

In modern society, indirect measurement is ubiquitous in which unknown information is transformed into the other physical quantity and is reconstructed mathematically from its measurement data.

Fuzzy transforms (F-transforms) are a class of fuzzy approximation methods that utilise fuzzy partitions to represent and reconstruct functions through a collection of weighted average values. By ...