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＜電子ブック＞
Algebras of Pseudodifferential Operators / by B.A. Plamenevskii
(Mathematics and its Applications, Soviet Series ; 43)

版	1st ed. 1989.
出版者	Dordrecht : Springer Netherlands : Imprint: Springer
出版年	1989
本文言語	英語
大きさ	VIII, 292 p : online resource
著者標目	*Plamenevskii, B.A author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Geometry LCSH:Mathematical physics FREE:Analysis FREE:Geometry FREE:Theoretical, Mathematical and Computational Physics
一般注記	1. Integral transforms on a sphere -- 1. The generalized kernels (xy)?±, (±xy + iO)? -- 2. The operator E(?), its relation with the Fourier and Mellin transform -- 3. The action of E(?) on spherical functions -- 4. Operators related with the transform E(?) -- 5. The spaces Hs(?, Sn-1). The operator E(?) on the spaces Hs(?, Sn-1) -- 6. An analog of the Paley-Wiener theorem for the operator E(?) -- 2. The Fourier transform and convolution operators on spaces with weighted norms -- 1. The spaces H?s(?n) -- 2. The Fourier transform on the spaces Hs?(?n) -- 3. Convolution operator on the spaces Hs?(?n) -- 4. The spaces Hs?(?m,?m-n) -- 5. Transversal operators and special representations -- 6. Estimates for the convolution operator on the spaces H?s(?m, ?m-n) -- 3. Meromorphic pseudodifferential operators -- 1. Canonical meromorphic pseudodifferential operators -- 2. Operations on canonical meromorphic pseudodifferential operators -- 3. General meromorphic pseudodifferential operators -- 4. Traces of meromorphic pseudodifferential operators -- 5. Meromorphic pseudodifferential operators on strongly oscillating functions -- 6. Estimates for meromorphic pseudodifferential operators -- 7. Periodic meromorphic pseudodifferential operators -- 8. Change of variables in meromorphic pseudodifferential operators -- 4. Pseudodifferential operators with discontinuous symbols on manifolds with conical singularities -- 1. Pseudodifferential operators on ?n -- 2. Pseudodifferential operators on a conic manifold -- 3. Pseudodifferential operators on manifolds with conical points -- 4. Algebras generated by pseudodifferential operators of order zero -- 5. The spectrum of a C* -algebra of pseudodifferential operators with discontinuous symbols on a closed manifold -- 1. Results from thetheory* of C* -algebras -- 2. The spectrum of a C* -algebra of pseudodifferential operators with discontinuities of the first kind in the symbols on a smooth closed manifold (statement of the main theorem) -- 3. Representations of the algebra $$ \mathfrak{G} $$(?) generated by the operators E(?)-1F(ø, ?)E(?) -- 4. Representations of an algebra $$ \mathfrak{G} $$(lx) -- 5. Proof of theorem 2.1 -- 6. Ideals in the algebra of pseudodifferential operators with discontinuous symbols -- 7. Spectra of C* -algebras of pseudodifferential operators on a manifold with conical points -- 8. The spectrum of a C* -algebra of pseudodifferential operators with oscillating symbols -- 6. The spectrum of a C* -algebra of pseudodifferential operators on a manifold with boundary -- 1. The algebras $$ \mathfrak{G} $$c(?) -- 2. The algebras $$ \mathfrak{G} $$(?) -- 3. The algebras $$ \mathfrak{G} $$c(l?) -- 4. The algebras $$ \mathfrak{G} $$(l?) -- 5. The spectrum of an algebra of pseudodifferential operators on a manifold with boundary -- Bibliographical sketch -- References Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/978-94-009-2364-5

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