你好! Shipping to Taiwan with premium packaging for just NT$300 

Ship to
Taiwan
0

My Account

  • argentina
  • chile
  • colombia
  • españa
  • méxico
  • perú
  • estados unidos
  • internacional

menu

Select your country

Americas

Europe

Rest of the world

portada Progress in Inverse Spectral Geometry
Type
Physical Book
Author
Publisher
Language
English
Pages
197
Format
Paperback
Dimensions
23.4x15.6x1.1 cm
Weight
0.30 kg.
ISBN13
9783034898355
Categories

Progress in Inverse Spectral Geometry

Michel L. Lapidus (Author) · Stig I. Andersson (Author) · Birkhauser · Paperback

Progress in Inverse Spectral Geometry - Andersson, Stig I. ; Lapidus, Michel L.

Cheaper New Book Imported to Taiwan
Delivery: 29 Oct - 11 Nov Shipping: 14 to 18 business days.
NT$ 1,865
Faster New Book Imported to Taiwan
Delivery: 16 Oct - 26 Oct Shipping: 5 to 6 business days.
NT$ 2,364
NT$ 1,865

Choose the list to add your product or create one New List

Go to My Wishlists
Calculate shipping cost

Synopsis "Progress in Inverse Spectral Geometry"

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.

Customers reviews

More customer reviews
  • 0% (0)
  • 0% (0)
  • 0% (0)
  • 0% (0)
  • 0% (0)

Frequently Asked Questions about the Book

Is the book original?

All books in our catalog are Original.

In what language is the book written?

The book is written in English.

What is the format of this book?

The binding of this edition is Paperback.

Questions and Answers about the Book

Do you have a question about the book? Login to be able to add your own question.

Opinions about Bookdelivery

More customer reviews