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math.CA2019
Stability of nearly optimal decompositions in Fourier Analysis
Anton Tselishchev
The question of existence is treated for near-minimizers for the distance functional (or -functional in the interpolation terminology) that are stable under the action of certai…
math.CA2018
Littlewood--Paley characterizations of and Triebel--Lizorkin spaces
Anton Tselishchev, Ioann Vasilyev
We prove one generalization of the Littlewood--Paley characterization of the space where the dilations of a Schwartz function are replaced by a family of functions w…