Analysis on Manifolds with Generalized Cusps: Spectral Theory of the Laplace Operator,Used

Analysis on Manifolds with Generalized Cusps: Spectral Theory of the Laplace Operator,Used

In Stock
SKU: DADAX3838395409
Brand: LAP Lambert Academic Publishing
$79.75 $113.93
Save $34.18
Quantity
Add to wishlist
Add to compare

Processing time: 1-3 days

US Orders Ships in: 3-5 days

International Orders Ships in: 8-12 days

Return Policy: 15-days return on defective items

Payment Option
Payment Methods

Help

If you have any questions, you are always welcome to contact us. We'll get back to you as soon as possible, withing 24 hours on weekdays.

Customer service

All questions about your order, return and delivery must be sent to our customer service team by e-mail at yourstore@yourdomain.com

Sale & Press

If you are interested in selling our products, need more information about our brand or wish to make a collaboration, please contact us at press@yourdomain.com

In this book we are interested in manifolds with cusp like singularities that are in between the cases of cylindrical end and of hyperbolic cusp. More precisely, we study the Laplace operator acting on pforms, defined on an ndimensional manifold with generalized cusp. Such a manifold consists of a compact piece and a noncompact one. The noncompact piece is isometric to the generalized cusp. A generalized cusp is an ndimensional noncompact manifold equipped with a parameter dependent warped product metric. When the positive parameter goes to zero, the cusp becomes a cylinder, and when it goes to infinity, it could be thought of as approaching the ndimensional hyperbolic cusp. In such a manifold we construct the generalized eigenforms of the Laplacian. Thus, we give a description of the continuous spectral decomposition of the Laplace operator and we determine some of its important properties, like analyticity and the existence of a functional equation. We also define the stationary scattering matrix and find its analytic properties and its functional equation.

⚠️ WARNING (California Proposition 65):

This product may contain chemicals known to the State of California to cause cancer, birth defects, or other reproductive harm.

For more information, please visit www.P65Warnings.ca.gov.

Recently Viewed