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• W1560703448 abstract "The Novikov-Shubin invariants for a non-compact Riemannian manifold M can be defined in terms of the large time decay of the heat operator of the Laplacian on square integrable p-forms on M. For the (2n+1)-dimensional Heisenberg group H, the Laplacian can be decomposed into operators in the conjugate of the generalised Bargmann representations which, when restricted to the centre of H, are characters. The representation space is an anti-Fock space of anti-holomorphic functions on complex n-space which are square integrable with respect to a Gaussian measure. In this paper, the eigenvalues of decomposed operators are calculated, using operators which commute with the Laplacian; this information determines all the Novikov-Shubin invariants of H. Further, some eigenvalues of operators connected with nilpotent Lie groups of Heisenberg type are calculated in the later sections." @default.
• W1560703448 created "2016-06-24" @default.
• W1560703448 creator A5033491799 @default.
• W1560703448 date "1998-07-27" @default.
• W1560703448 modified "2023-09-27" @default.
• W1560703448 title "The Laplacian on $p$-forms on the Heisenberg group" @default.
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• W1560703448 hasPublicationYear "1998" @default.
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