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Study of the algebra of smooth integro-differential operators with applications
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We study the algebra of integro-differential operators with smooth coefficients and kernels on a subspace of [Formula: see text]. We find a normal form for elements of this algebra and determine its unit group. The formulation of inverses gives explicit solutions of inhomogeneous linear Volterra integro-differential equations and Volterra integral equations of first kind with smooth kernels.
World Scientific Pub Co Pte Lt
Title: Study of the algebra of smooth integro-differential operators with applications
Description:
We study the algebra of integro-differential operators with smooth coefficients and kernels on a subspace of [Formula: see text].
We find a normal form for elements of this algebra and determine its unit group.
The formulation of inverses gives explicit solutions of inhomogeneous linear Volterra integro-differential equations and Volterra integral equations of first kind with smooth kernels.
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