11. The impact of Stravinsky, Debussy, and Ravel created the need to update harmonic analysis . 12. In 1967 Weiss won the Chauvenet Prize for his book " Harmonic Analysis ". 13. His research interests ranged from harmonic analysis to complex analysis. 14. Pipher's work has been in harmonic analysis , Fourier analysis, partial differential equations, and cryptography. 15. His research subjects are theory of symmetric space, harmonic analysis , noncommuntative geometry and mathematical physics. 16. This is a very elementary form of an uncertainty principle in a harmonic analysis setting. 17. The ! 0-normed space is studied in functional analysis, probability theory, and harmonic analysis . 18. See Peter Weyl theorem for the abelian, this is a difficult matter of harmonic analysis . 19. Cheng was a pioneer of harmonic analysis and image processing and recognition in modern China. 20. Stewart's research focused on harmonic analysis and functional analysis.