Fourier Integral Operators on Noncompact Symmetric Spaces of Real Rank One

92 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

H1 and BMO for certain locally doubling metric measures spaces (2009, methodology): “Our approach to the case of locally doubling measures is inspired by a result of A.D. Ionescu [29] on rank one symmetric spaces of the noncompact type and by a recent paper of the second and third named authors concerning the analysis of the Ornstein–Uhlenbeck operator [35].”
The wave equation on hyperbolic spaces (2010, result): “A 271 (1970 ), 491–493 [20] L.V. Hörmander, The analysis of linear partial differential operators I (distribution theory and Fourier analysis), Springer–Verlag (1983, 1990, 2003) [21] L.V. Hörmander, The analysis of linear partial differential operators III (pseudo–differential operators), Springe”
Hardy Spaces and bmo on Manifolds with Bounded Geometry (2009, methodology): “On the other hand, since the integral kernel of P b(I ) is ( I y)kb(x;y), it”
H^1 and BMO for certain locally doubling metric measure spaces of finite measure (2008, background): “Ionescu [12], who defined a similar space on rank one noncompact symmetic spaces.”