scholarly journals Fourier Integral Operators on Noncompact Symmetric Spaces of Real Rank One

2000 ◽  
Vol 174 (2) ◽  
pp. 274-300 ◽  
Author(s):  
Alexandru D. Ionescu
Keyword(s):  
Symmetric Spaces ◽  
Integral Operators ◽  
Fourier Integral ◽  
Fourier Integral Operators ◽  
Real Rank ◽  
Rank One

scholarly journals On the nuclear trace of Fourier integral operators

2019 ◽  
Vol 37 (2) ◽  
pp. 219-249
Author(s):  
Duván Cardona
Keyword(s):  
Symmetric Spaces ◽  
Differential Operators ◽  
Integral Operators ◽  
Fourier Integral ◽  
Fourier Integral Operators ◽  
Weyl Quantization ◽  
Homogeneous Manifolds ◽  
Dimensional Torus ◽  
Lebesgue Spaces ◽  
Pseudo Differential Operators

In this paper we characterise ther-nuclearity of Fourier integraloperators on Lebesgue spaces. Fourier integral operators will be consideredinRn,the discrete groupZn,then-dimensional torus and symmetric spaces(compact homogeneous manifolds). We also give formulae forthe nucleartrace of these operators. Explicit examples will be given onZn,the torusTn,the special unitary group SU(2),and the projective complex planeCP2.Ourmain theorems will be applied to the characterization ofr-nuclear pseudo-differential operators defined by the Weyl quantization procedure.

scholarly journals Wiener algebras of Fourier integral operators

2013 ◽  
Vol 99 (2) ◽  
pp. 219-233 ◽  
Author(s):  
Elena Cordero ◽  
Karlheinz Gröchenig ◽  
Fabio Nicola ◽  
Luigi Rodino
Keyword(s):  
Integral Operators ◽  
Fourier Integral ◽  
Fourier Integral Operators

Curvelets and Fourier Integral Operators

2003 ◽  
Vol 336 (5) ◽  
pp. 395-398 ◽  
Author(s):  
Emmanuel Candès ◽  
Laurent Demanet
Keyword(s):  
Integral Operators ◽  
Fourier Integral ◽  
Fourier Integral Operators
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