Atomic functions theory: History and modern results: Dedicated to the pioneer of atomic functions theory VL Rvachev invited paper

VF Kravchenko, OV Kravchenko… - 2020 IEEE Ukrainian …, 2020 - ieeexplore.ieee.org
VF Kravchenko, OV Kravchenko, YY Konovalov, KA Budunova
2020 IEEE Ukrainian Microwave Week (UkrMW), 2020ieeexplore.ieee.org
… We consider some important fundamental results of this school. Some results we discuss
in detail. The new class of WA-systems (wavelets based on atomic functions) useful for
digital signal and image processing [38], [40]–[45] was constructed. …
Atomic functions (AF) are infinitely differentiable compactly supported solutions of a functional-differential equations. The review presents a brief analysis of current publications on AF and related topics and some new results discussed in detail.
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