Electronic Resource
Springer
Inventiones mathematicae
101 (1990), S. 545-582
ISSN:
1432-1297
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary Given a matrixS∋sp (n, ℝ), one finds a second-order, bi-invariant differential operator □ s on the one-dimensional extensionG s of the Heisenberg groupH n induced byS. We construct solutions to certain Cauchy problems for □ s and fundamental solutions for these operators. This analysis is connected with the discussion of the “oscillator semigroup” by R. Howe.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01231515
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