@article{oai:kanazawa-u.repo.nii.ac.jp:00011133,
 author = {加須栄, 篤 and Kasue, Atsushi},
 journal = {The science reports of the Kanazawa University = 金沢大学理科報告},
 month = {Jan},
 note = {We consider a sequence of Hermitian vector bundles of the same rank endowed with metric connections over compact Riemannian manifolds whose heat kernels have uniform on-diagonal upper bounds, and we prove that there exists a sub-sequence of the vector bundles and a closed form on a Hilbert space to which the energy forms on the Hilbert spaces of square integrable sections of the vector bundles Mosco-converge; if, in addition, the rank is equal to one, the limit Hilbert space consists of square integrable sections of a continuous Hermitian line bundle over an open subspace in a compact metric space endowed with a Radon measure.},
 pages = {25--49},
 title = {Spectral convergence of Riemannian vector bundles},
 volume = {55},
 year = {2011}
}