Geodesic
Spectral properties of difference and differential operators in weighted spaces
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2011), pp. 16-21

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We describe the spectrum of a difference operator (a weighted shift operator). We obtain applications to finding spectra of differential operators in weighted function spaces.
Keywords: difference operator, differential operator, operator spectrum, weighted spaces of sequences and functions. 
@article{IVM_2011_2_a1,
     author = {M. S. Bichegkuev and S. V. Besaeva},
     title = {Spectral properties of difference and differential operators in weighted spaces},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {16--21},
     publisher = {mathdoc},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_2_a1/}
}
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M. S. Bichegkuev; S. V. Besaeva. Spectral properties of difference and differential operators in weighted spaces. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2011), pp. 16-21. http://geodesic.mathdoc.fr/item/IVM_2011_2_a1/