Titlebook: Algebras of Pseudodifferential Operators; B. A. Plamenevskii Book 1989 Kluwer Academic Publishers 1989 integral.manifold.mathematical phys

细菌等

978-94-010-7564-0Kluwer Academic Publishers 1989

残忍

Algebras of Pseudodifferential Operators978-94-009-2364-5Series ISSN 0169-6378

FACET

0169-6378 Overview: 978-94-010-7564-0978-94-009-2364-5Series ISSN 0169-6378

散步

Societal and Political Cleavages,with a homogeneous function. A ‘canonical’ meromorphic pseudodifferential operator of order . has the form E.(λ + .).Ф(.E.(λ). Thus, the operator E(A) plays the same role for meromorphic pseudodifferential operators as does the Fourier transform for ordinary pseudodifferential operators.

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,Empirical Sources (1990–1997),ors on the spaces .(.). Symbols of ‘canonical’ pseudodifferential operators of order . will be functions (.) × (..) ∋ (., .)↦F(., ., homogeneous of degree . both in . and in .. A ‘general’ pseudodifferential operator A: .(.) →.(.) of order a can be expressed in terms of a meromorphic pseudodiffere

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,Empirical Sources (1990–1997),bra . generated by the pseudodifferential operators with smooth symbols on a smooth closed manifold . becomes commutative after factorization by the ideal .(.) of compact operators. Hence all irreducible representations of the quotient algebra ./.(.) are one-dimensional, and its spectrum can be iden

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,Empirical Sources (1990–1997),tified with the maximal ideal space, which is the bundle . of cotangent unit vectors. If A ∈ ., [A] ∈ . .(.)is its residue class, and Π runs over the spectrum of ./.(.) then the map Π↦Π[A] coincides with the function .*.∈Π↦Ф(Π)∈. where Ф is the symbol of A.