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On the absolutely continuous spectrum of the Laplace–Beltrami operator acting on p ‐forms for a class of warped product metrics
Author(s) -
Antoci Francesca
Publication year - 2006
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200410452
Subject(s) - mathematics , laplace–beltrami operator , spectrum (functional analysis) , laplace transform , absolute continuity , operator (biology) , product (mathematics) , class (philosophy) , pure mathematics , boundary (topology) , unit sphere , mathematical analysis , laplace operator , ball (mathematics) , boundary value problem , geometry , p laplacian , physics , quantum mechanics , biochemistry , chemistry , repressor , artificial intelligence , computer science , transcription factor , gene
We explicitely compute the absolutely continuous spectrum of the Laplace–Beltrami operator for p ‐forms for the class of warped product metrics dσ 2 = y 2 a dy 2 + y 2 b dθ 2 S N –1, where y is a boundary defining function on the unit ball B (0, 1) in ℝ N . (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)