The heat kernel and Hardy’s theorem on symmetric spaces of noncompact type

The heat kernel and Hardy’s theorem on symmetric spaces of noncompact type

For symmetric spaces of noncompact type we prove an analogue of Hardy’s theorem which characterizes the heat kernel in terms of its order of magnitude and that of its Fourier transform.

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Veröffentlicht in:Proceedings of the Indian Academy of Sciences. Mathematical sciences 2002-05, Vol.112 (2), p.321-330
Hauptverfasser: Narayanan, E. K., Ray, S. K.
Format: Artikel
Sprache:eng
Schlagworte:
Fourier transforms
Kernels
Theorems
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Zusammenfassung:For symmetric spaces of noncompact type we prove an analogue of Hardy’s theorem which characterizes the heat kernel in terms of its order of magnitude and that of its Fourier transform.
ISSN:0253-4142
0973-7685
DOI:10.1007/BF02829756