Premium
Oscillatory Multipliers Related to the Wave Equation on Noncompact Symmetric Spaces
Author(s) -
Cowling Michael,
Giulini S.,
Meda Stefano
Publication year - 2002
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610702003563
Subject(s) - mathematics , semigroup , mathematical analysis , wave equation , operator (biology) , space (punctuation) , poisson distribution , type (biology) , laplace transform , pure mathematics , computer science , statistics , ecology , biochemistry , chemistry , repressor , biology , transcription factor , gene , operating system
This paper is devoted to the study of a family of oscillatory multipliers of the Laplace–Beltrami operator on symmetric spaces of the noncompact type. This family is related to the regularity (in space, for fixed time) of the solutions to the wave equation. Our method relies on estimates for the Poisson semigroup in complex time, which were obtained in our previous paper [ 6 ].