Abstract:
In this article a class of symmetric functions is defined and used in some special representation of holomorphic functions.
This representation plays an important role in transitions from concrete problems of projective
description to equivalent problems of inductive description and finds multiple applications
in questions connected with spectral synthesis of differential operators.
This publication is cited in the following 3 articles:
A. A. Tatarkin, A. B. Shishkin, “Exponential Synthesis in the Kernel of a q-Sided Convolution Operator”, J Math Sci, 282:4 (2024), 581
A. A. Tatarkin, A. B. Shishkin, “Eksponentsialnyi sintez v yadre operatora q-storonnei svertki”, Issledovaniya po lineinym operatoram i teorii funktsii. 50, Zap. nauchn. sem. POMI, 512, POMI, SPb., 2022, 191–222
Yu. S. Saranchuk, A. B. Shishkin, “General elementary solution of a homogeneous q-sided convolution type equation”, St. Petersburg Math. J., 34:4 (2023), 695–713