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Kernels and symbols of analytic pseudodifferential operators

✍ Scribed by M.S Baouendi; C Goulaouic; G Métivier

Book ID
107792040
Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
564 KB
Volume
48
Category
Article
ISSN
0022-0396

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📜 SIMILAR VOLUMES

Pseudodifferential operators with real a
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✍ Tran Duc Van; Dinh Nho Hào 📂 Article 📅 1992 🏛 John Wiley and Sons 🌐 English ⚖ 1010 KB

## Abstract This paper introduces some methods (including an approximation method) for investigating pseudodifferential equations and related problems (Cauchy problems, boundary value problems,…) based on the technique of pseudodifferential operators with real analytic symbols.

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In this work we shall study a definition of subunit ball for non-negative symbols of sub-elliptic pseudodifferential operators, extending in phase-space the one given by Stein, Nagel, and Wainger in the differential-operator case. Using microlocal methods introduced by Fefferman and Phong, we prove

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✍ Yu. I. Karlovich 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 252 KB

## Abstract Let __V__ (ℝ) denote the Banach algebra of absolutely continuous functions of bounded total variation on ℝ. We study an algebra 𝔅 of pseudodifferential operators of zero order with compound slowly oscillating __V__ (ℝ)‐valued symbols (__x__, __y__) ↦ __a__ (__x__, __y__, ·) that satisfy