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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

The unified approach to spectral analysis. II


Author: R. Weder
Journal: Proc. Amer. Math. Soc. 75 (1979), 81-84
MSC: Primary 35P05; Secondary 47F05
DOI: https://doi.org/10.1090/S0002-9939-1979-0529218-3
MathSciNet review: 529218
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Abstract: We apply a new unified method to construct a closed, selfadjoint in $ {\mathcal{L}^2}$, extension of a partial differential operator in all the spaces $ {\mathcal{L}^p}({{\mathbf{R}}^n}),1 \leqslant p \leqslant \infty $, to a large class of partial differential operators. We obtain very weak conditions in the potentials.


References [Enhancements On Off] (What's this?)

  • [1] R. Weder, The unified approach to spectral analysis, Comm. Math. Phys. 60 (1978), no. 3, 291–299. MR 500970
  • [2] Martin Schechter, Spectra of partial differential operators, 2nd ed., North-Holland Series in Applied Mathematics and Mechanics, vol. 14, North-Holland Publishing Co., Amsterdam, 1986. MR 869254

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1979-0529218-3
Article copyright: © Copyright 1979 American Mathematical Society

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