Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral Theory and Representations of Nilpotent Groups   We give an estimate of the number $N(\lambda)$ of eigenvalues $<\lambda$ for
the image under an irreducible representation of the ``sublaplacian'' on a
stratified nilpotent Lie algebra. We also give an estimate for the trace of the
heat-kernel associated with this operator. The estimates are formulated in term
of geometrical objects related to the representation under consideration. An
important particular case is the Schr\"odinger equation with polynomial
electrical and magnetical fields.

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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn