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Progress in Inverse Spectral Geometry (Trends in Mathematics)100%: a cura di: S. I. Andersson, a cura di: Michel L. Lapidus: Progress in Inverse Spectral Geometry (Trends in Mathematics) (ISBN: 9783764357559) 1997, in Deutsch, Broschiert.
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Progress in Inverse Spectral Geometry87%: Stig I. Andersson; Michel L. Lapidus: Progress in Inverse Spectral Geometry (ISBN: 9783034889384) in Deutsch, auch als eBook.
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Progress in Inverse Spectral Geometry (Trends in Mathematics)75%: I. Andersson, Stig; Lapidus, Michel and Andersson, Stig I.: Progress in Inverse Spectral Geometry (Trends in Mathematics) (ISBN: 9783034898355) 2012, in Deutsch, Taschenbuch.
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Progress in Inverse Spectral Geometry (Trends in Mathematics)
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9783034898355 - Andersson, Stig I. Lapidus, Michel: Progress in Inverse Spectral Geometry
Andersson, Stig I. Lapidus, Michel

Progress in Inverse Spectral Geometry

Lieferung erfolgt aus/von: Deutschland DE PB NW

ISBN: 9783034898355 bzw. 3034898355, in Deutsch, Birkhäuser, Taschenbuch, neu.

Lieferung aus: Deutschland, Versandkostenfrei.
buecher.de GmbH & Co. KG, [1].
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.Softcover reprint of the original 1st ed. 1997. 2012. v, 197 S. 235 mmVersandfertig in 3-5 Tagen, Softcover.
2
Stig I. Andersson, Michel Lapidus

Progress in Inverse Spectral Geometry (Paperback) (2012)

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Language: English Brand New Book ***** Print on Demand *****.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* (R)E), locally given by 00 K(x,y; t) = L>-IAk(~k (R) 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. Softcover reprint of the original 1st ed. 1997.
3
9783764357559 - S.I. Andersson, Michel L. Lapidus: Progress in Inverse Spectral Geometry (Hardback)
Symbolbild
S.I. Andersson, Michel L. Lapidus

Progress in Inverse Spectral Geometry (Hardback) (1997)

Lieferung erfolgt aus/von: Vereinigtes Königreich Großbritannien und Nordirland DE HC NW

ISBN: 9783764357559 bzw. 376435755X, in Deutsch, Birkhauser Verlag AG, Switzerland, gebundenes Buch, neu.

Lieferung aus: Vereinigtes Königreich Großbritannien und Nordirland, Versandkostenfrei.
Von Händler/Antiquariat, The Book Depository EURO [60485773], London, United Kingdom.
Language: French,English Brand New Book. 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* (R)E), locally given by 00 K(x,y; t) = L>-IAk(~k (R) 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.
4
9783764357559 - Stig I. Andersson: Progress in Inverse Spectral Theory
Symbolbild
Stig I. Andersson

Progress in Inverse Spectral Theory

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ISBN: 9783764357559 bzw. 376435755X, in Deutsch, Springer Basel AG, neu.

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buchZ AG, [3859792].
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. Buch.
5
9783764357559 - Michel L. Lapidus: Progress in Inverse Spectral Geometry (Hardcover)
Michel L. Lapidus

Progress in Inverse Spectral Geometry (Hardcover)

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376435755X - Andersson, S. I.; Lapidus, Michel L. (editors): Progress in Inverse Spectral Geometry
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Andersson, S. I.; Lapidus, Michel L. (editors)

Progress in Inverse Spectral Geometry (1997)

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Stig I. Andersson

Progress in Inverse Spectral Geometry (Trends in Mathematics) (2012)

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Stig I. Andersson

Progress in Inverse Spectral Geometry (Trends in Mathematics) (2012)

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ISBN: 9783034898355 bzw. 3034898355, in Deutsch, Springer, Taschenbuch, neu.

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9783764357559 - Stig I. Andersson; Michel Lapidus: Progress in Inverse Spectral Geometry
Stig I. Andersson; Michel Lapidus

Progress in Inverse Spectral Geometry (1997)

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Buch, Hardcover, 1997.
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9783034889384 - Stig I. Andersson; Michel  L. Lapidus: Progress in Inverse Spectral Geometry
Stig I. Andersson; Michel L. Lapidus

Progress in Inverse Spectral Geometry

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Fractal, Koch snowflake, curvature, inverse spectral geometry, manifold, Mathematics; Geometry, eBook.
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