Sigurður Helgason is an influential Icelandic mathematician known for his significant contributions to several areas of mathematics, particularly in the fields of analysis, geometry, and representation theory. He has made notable advancements in harmonic analysis on homogeneous spaces and in the theory of Lie groups. Helgason is perhaps best recognized for his work on the Helgason Fourier transform and the Helgason spectral theorem, both of which play important roles in the study of symmetric spaces and differential geometry.
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