2022/01/17 by Triebel, Hans
#41A46 #42B10 #47G30 #FOS: Mathematics #Functional Analysis (math.FA) #Primary 46E35 #Secondary 35P15
paper · doi:10.48550/arxiv.2201.06261
The composition of the Fourier transform in ℝn with a suitable pseudodifferential operator is called a Fourier operator. It is compact in appropriate function spaces. The paper deals with its spectral theory. This is based on mapping properties of the Fourier transform as developed in a preceding paper and related assertions for pseudodifferential operators.