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Singular Support and \(\mathfrak{F}\) L q Continuity of Pseudodifferential Operators

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Approximation and Computation

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 42))

Abstract

In this paper we show possible directions for numerical mathematicians interested in the approximation of different types of singular supports, wave front sets and of pseudodifferential operators in the framework of Fourier-Lebesgue spaces. The work contains new results on singular supports in Fourier-Lebesgue spaces and on the continuity properties of certain pseudodifferential operators.

This article is dedicated to Professor Gradimir V. Milovanović on the occasion of his 60th birthday

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Acknowledgements

This paper was supported by the Serbian Ministry of Science and Technological Development (Project # 144016).

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Correspondence to Stevan Pilipović .

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Pilipović, S., Teofanov, N., Toft, J. (2010). Singular Support and \(\mathfrak{F}\) L q Continuity of Pseudodifferential Operators. In: Gautschi, W., Mastroianni, G., Rassias, T. (eds) Approximation and Computation. Springer Optimization and Its Applications, vol 42. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6594-3_23

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