Prof. Ruzhansky gave a talk about “Nonharmonic pseudo-differential analysis” at Seminar on Analysis, Differential Equations and Mathematical Physics, at the Southern Federal University, Russia.

Our page about Nonharmonic analysis.

YouTube VIDEO

Here we break a talk to timestamps:

• Overview of global (harmonic) quantization theories – 1:27
• Harmonic analysis of pseudo-differential operators – 3:39
• Harmonic vs nonharmonic analysis – 8:02
• Nonharmonic analysis of boundary value problems – 11:23
• General philosophy – 14:24
• Global Fourier analysis associated to L and L* – 22:58
• Convolution associated to L and L* – 27:52
• Fourier multipliers – 36:06
• Difference operators – 40:53
• Summary of results – 52:32
  
  Interesting comments from Prof Lars-Erik Persson – The Happy Mathematician  55:30