Hilbert Transform: A New Integral Formula
A. Alenitsyn, M. Arshad, A. S. Kondratyev, I. Siddique
TL;DR
This paper introduces new analytical and numerical examples related to the Hilbert transform, confirming the Kohler conjecture for a broad class of nonnegative functions.
Contribution
It provides new examples and evidence supporting the Kohler conjecture, expanding understanding of the Hilbert transform's properties.
Findings
Confirmed the Kohler conjecture for many nonnegative functions
Provided analytical and numerical examples supporting the conjecture
Extended the class of functions for which the conjecture holds
Abstract
We give a number new examples analytically and numerically to confirm the Kohler conjecture. It turned out that for a rather large class of nonnegative functions the equality (A) hold.
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Taxonomy
TopicsMatrix Theory and Algorithms · Mathematical functions and polynomials · Graph theory and applications