The spectra of random pseudo-differential operators
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- by Jingbo Xia PDF
- Trans. Amer. Math. Soc. 345 (1994), 381-411 Request permission
Abstract:
We study the spectra of random pseudo-differential operators generated by the same symbol function on different ${L^2}$-spaces. Our results generalize the spectral coincidence theorem of S. Kozlov and M. Shubin (Math. USSRSb. 51 (1985), 455-471) for elliptic operators of positive order associated with ergodic systems. Because of our new approach, we are able to treat operators of arbitrary order and associated with arbitrary dynamical systems. Furthermore, we characterize the spectra of these operators in terms of certain naturally obtained Borel measures on R.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 345 (1994), 381-411
- MSC: Primary 47G30; Secondary 35R60, 35S99, 46L99
- DOI: https://doi.org/10.1090/S0002-9947-1994-1250828-5
- MathSciNet review: 1250828