Fredholm and spectral properties for one class of hypoelliptic operators
0000-0003-3991-7900 The material was received by the Editorial Board: 22.09.2025
In this paper, we study the normal solvability, Fredholm property, and spectral characteristics of regular hypoelliptic operators with special variable coefficients. Fredholm criteria are established for the considered class of operators in multianisotropic Sobolev spaces in \(\mathbb{R}^n\), and the essential spectrum of such operators is described.
УДК 517.951 + 517.983
Keywords: Fredholm operator, regular hypoelliptic operator, essential spectrum, multianisotropic weighted space.
References: Tumanyan A.G. Fredholm and spectral properties for one class of hypoelliptic operators. Mat. Trudy. 2026, 29, № 2. P. 152–175. DOI: 10.25205/1560-750X-2026-29-2-152-175