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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive
Izv. Saratov Univ. Math. Mech. Inform., 2013 Volume 13, Issue 1(2), Pages 84–87 (Mi isu381)
Mathematics

The Condition of N. P. Kuptsov $s$-regularity

V. P. Sklyarov

Saratov State University

Abstract: We investigate the condition of $s$-regularity for the operator $Qy =-y'' (x)+x ^ 2y (x)$ in the spaces $L^{p}{(-\infty,\infty)}$.

Key words: polynomials and Hermite functions, $s$-regularity.

UDC: 517.983.2

DOI: 10.18500/1816-9791-2013-13-1-2-84-87



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© Steklov Math. Inst. of RAS, 2025