A class of pseudo-differential operators with oscillating symbols

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dc.creatorYafaev, D.
dc.date1998-06-18
dc.date.accessioned2026-07-07T05:25:05Z
dc.date.available2026-07-07T05:25:05Z
dc.descriptionWe study a class of pseudo-differential operators with oscillating symbols or osc illating amplitudes appearing in the long-range scattering theory. We develop the basic calc ulus for operators from such classes and solve some concrete problems posed by applications to scattering theory, especially to the scattering matrix. In particular, we show tha t under natural assumptions the spectrum of a pseudo-differential operator with an oscillating symb ol covers the unit circle.
dc.identifierhttps://arxiv.org/abs/math/9806095
dc.identifierhttp://arxiv.org/abs/math/9806095
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77054
dc.subjectSpectral Theory
dc.subjectAnalysis of PDEs
dc.subject35J10; 47A75
dc.titleA class of pseudo-differential operators with oscillating symbols
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