Fourier Analysis on SU(2)

  • Michael Ruzhansky
  • Ville Turunen
Part of the Pseudo-Differential Operators book series (PDO, volume 2)


In this chapter we develop elements of Fourier analysis on the group SU(2) in a form suitable for the consequent development of the theory of pseudo-differential operators on SU(2) in Chapter 12. Certain results from this chapter can be found in [148], which, together with [154] we can recommend for further reading, including for some instances of explicitly calculated Clebsch-Gordan coefficients. However, on this occasion, with pseudo-differential operators in mind and the form of the analysis necessary for us and adopted to Chapter 10, we present an independent exposition of SU(2) with considerably more direct proofs and different arguments compared to, e.g., [148].


Fourier Analysis Invariant Subspace Euler Angle Trigonometric Polynomial Real Vector Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhäuser Verlag AG 2010

Authors and Affiliations

  • Michael Ruzhansky
    • 1
  • Ville Turunen
    • 2
  1. 1.Department of MathematicsImperial College LondonLondonUK
  2. 2.Institute of MathematicsHelsinki University of TechnologyFinland

Personalised recommendations