Geodesic
Inversion of a polynomial operator with the Maslov–Chebyshev symbol
Contemporary Mathematics. Fundamental Directions, Proceedings of the Voronezh Winter Mathematical Krein School — 2024, Tome 70 (2024) no. 4, pp. 626-635 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Maslov–Heaviside method is applied to the inversion of a polynomial operator by the Maslov–Chebyshev symbol introduced in the paper. The result is applied to the proof of a theorem on the Bessel operator in the Stepanov spaces $S_p(\mathbb{R}^n),$ $1$ $n=1,2,\dots.$ This significantly expands the scope of application of operator methods to the study of the correct solvability of equations with the Laplace operator, usually studied in $L_p$ spaces.
Keywords: Stepanov spaces, Bessel operator, Maxwell–Fejér operator symbol, Weierstrass semigroup, correct solvability, Chebyshev polynomials, strongly continuous semigroup
Mots-clés : polyharmonic equation. 
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A. V. Kostin. Inversion of a polynomial operator with the Maslov–Chebyshev symbol. Contemporary Mathematics. Fundamental Directions, Proceedings of the Voronezh Winter Mathematical Krein School — 2024, Tome 70 (2024) no. 4, pp. 626-635. http://geodesic.mathdoc.fr/item/CMFD_2024_70_4_a8/

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