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arXiv · 1504.00777

Nonharmonic analysis of boundary value problems

Michael Ruzhansky·Niyaz Tokmagambetov
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Abstract

In this paper we develop the global symbolic calculus of pseudo-differential operators generated by a boundary value problem for a given (not necessarily self-adjoint or elliptic) differential operator. For this, we also establish elements of a non-self-adjoint distribution theory and the corresponding biorthogonal Fourier analysis. We give applications of the developed analysis to obtain a-priori estimates for solutions of operators that are elliptic within the constructed calculus.

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Michael Ruzhansky, Niyaz Tokmagambetov. 2015-04-03. Nonharmonic analysis of boundary value problems. https://arxiv.org/abs/1504.00777

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