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Your search keyword '"*PSEUDODIFFERENTIAL operators"' showing total 2 results
Start Over Descriptor "*PSEUDODIFFERENTIAL operators" Topic differential operators Publication Year Range Last 3 years Journal journal of mathematical sciences
2 results on '"*PSEUDODIFFERENTIAL operators"'

1. ON RELATIONSHIPS BETWEEN DIFFERENT CONCEPTS OF HYPOELLIPTICITY.

Author

Margaryan, V. N. and Ghazaryan, H. G.

Subjects
*DIFFERENTIAL operators, *PSEUDODIFFERENTIAL operators, *NEWTON diagrams
Abstract

The paper investigates connections and relations between different types (concepts) of hypoelliptic differential operators (symbols (characteristic polynomials) of these operators). [ABSTRACT FROM AUTHOR]

Published
2023
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2. Kipriyanov Singular Pseudodifferential Operators Generated by Bessel 핁-Transform.

Author

Lyakhov, L. N., Roshchupkin, S. A., and Bulatov, Yu. N.

Subjects
*PSEUDODIFFERENTIAL operators, *DIFFERENTIAL operators, *INTEGRAL transforms, *BESSEL functions, *EQUATIONS
Abstract

We introduce integral transforms to study problems for the singular Bessel differential operators B−γ with negative parameter −γ < 0. A solution to the singular Bessel equation B−γu+u = 0 is a function u = 핁μ expressed in terms of the Bessel functions of the first kind with positive parameter μ = (γ + 1)/2. Based on the notion of a 핋-pseudoshift, we formulate the Levitan addition theorem. We construct the Bessel 핁-transform and the corresponding class of singular 핁-pseudodifferential operators. We prove a theorem on the order of 핁-pseudodifferential operators in the class of Sobolev–Kipriyanov functions. [ABSTRACT FROM AUTHOR]

Published
2023
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