scholarly journals Microlocal analysis of quantum fields on curved space–times: Analytic wave front sets and Reeh–Schlieder theorems

2002 ◽  
Vol 43 (11) ◽  
pp. 5514-5530 ◽  
Author(s):  
Alexander Strohmaier ◽  
Rainer Verch ◽  
Manfred Wollenberg
Keyword(s):  
Wave Front ◽  
Microlocal Analysis ◽  
Quantum Fields ◽  
Curved Space ◽  
Wave Front Sets ◽  
Analytic Wave

scholarly journals Wave-front sets related to quasi-analytic Gevrey sequences

2019 ◽  
Vol 105 (119) ◽  
pp. 1-16
Author(s):  
Stevan Pilipovic ◽  
Joachim Toft
Keyword(s):  
Wave Front ◽  
Wave Front Sets ◽  
Analytic Wave

Quasi-analytic wave-front sets of distributions which correspond to the Gevrey sequence p!s, s\in

Stationary phase and microlocal analysis

2017 ◽  
Author(s):  
Christopher D. Sogge
Keyword(s):  
Stationary Phase ◽  
Wave Front ◽  
Pseudodifferential Operators ◽  
Microlocal Analysis ◽  
Equivalent Definition ◽  
Method Of Stationary Phase ◽  
Wave Front Sets ◽  
Propagation Of Singularities ◽  
Definition Of

This chapter discusses basic techniques from the theory of stationary phase. After giving an overview of the method of stationary phase, the chapter moves on to a discussion of pseudodifferential operators, by going over the basics from the calculus of pseudodifferential operators and their various microlocal properties, in the process obtaining an equivalent definition of wave front sets, before defining pseudodifferential operators on manifolds and going over some of their properties. The chapter then lays out the propagation of singularities as well as Egorov's theorem, which involves conjugating pseudodifferential operators. Finally, this chapter describes the Friedrichs quantization, and differentiates it from the Kohn-Nirenberg quantization presented earlier in the chapter.

scholarly journals Characterization of Wave Front Sets in Fourier-Lebesgue Spaces and Its Application

2013 ◽  
Vol 56 (1) ◽  
pp. 1-17
Author(s):  
Keiichi Kato ◽  
Masaharu Kobayashi ◽  
Shingo Ito
Keyword(s):  
Wave Front ◽  
Lebesgue Spaces ◽  
Wave Front Sets
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