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Progress Inverse Spectral Geometry by Andersson Stig (8 results)
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Progress in Inverse Spectral Geometry (Hardback or Cased Book)
Language: English
Published by Birkhauser 10/1/1997, 1997
ISBN 10: 376435755X ISBN 13: 9783764357559
Hardback or Cased Book. Condition: New. Progress in Inverse Spectral Geometry. Book.
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Condition: New.
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Progress in Inverse Spectral Geometry
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
£ 49.30
£ 11.98 shipping
Ships from United Kingdom to U.S.A.Quantity: Over 20 available
Add to basketCondition: New. In.
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Progress in Inverse Spectral Geometry (Trends in Mathematics)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
£ 49.62
£ 11.98 shipping
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Add to basketCondition: New. In.
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Condition: New.
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Taschenbuch. Condition: Neu. Progress in Inverse Spectral Geometry | Stig I. Andersson (u. a.) | Taschenbuch | v | Englisch | 2012 | Birkhäuser | EAN 9783034898355 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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Paperback. Condition: Like New. Like New. book.
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Progress in Inverse Spectral Geometry
Language: English
Published by Springer, Basel, Birkhäuser, 1997
ISBN 10: 376435755X ISBN 13: 9783764357559
Buch. Condition: Neu. Neuware - most polynomial growth on every half-space Re (z) ::::: c. Moreover, Op(t) depends holomorphically on t for Re t O. General references for much of the material on the derivation of spectral functions, asymptotic expansions and analytic properties of spectral functions are [A-P-S] and [Sh], especially Chapter 2. To study the spectral functions and their relation to the geometry and topology of X, one could, for example, take the natural associated parabolic problem as a starting point. That is, consider the 'heat equation': (%t + p) u(x, t) = 0 { u(x,O) = Uo(x), tP which is solved by means of the (heat) semi group V(t) = e- ; namely, u( , t) = V(t)uoU Assuming that V(t) is of trace class (which is guaranteed, for instance, if P has a positive principal symbol), it has a Schwartz kernel K E COO(X x X x Rt,E ®E), locally given by 00 K(x,y; t) = L-IAk(~k ® 'Pk)(X,y), k=O for a complete set of orthonormal eigensections 'Pk E COO(E). Taking the trace, we then obtain: 00 tA Op(t) = trace(V(t)) = 2::- k. k=O Now, using, e. g. , the Dunford calculus formula (where C is a suitable curve around a(P)) as a starting point and the standard for malism of pseudodifferential operators, one easily derives asymptotic expansions for the spectral functions, in this case for Op.
