4.5 Article

Lp-NUCLEAR PSEUDO-DIFFERENTIAL OPERATORS ON Z AND S1

Journal

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 141, Issue 11, Pages 3935-3942

Publisher

AMER MATHEMATICAL SOC
DOI: 10.1090/S0002-9939-2013-11771-5

Keywords

Pseudo-differential operators; nuclear operators; 2/3-nuclear operators; traces; Lidskii's formula; eigenvalues

Funding

  1. vicerrectoria de investigaciones of the Universidad del Valle [CI 7840]
  2. Natural Science and Engineering Research Council of Canada

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Conditions for pseudo-differential operators from L-p1(Z) into L-p2(Z) and from L-p1(S-1) into L-p2(S-1) to be nuclear are presented for 1 <= p(1), p(2) < infinity. In the cases when p(1) = p(2), the trace formulas are given.

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