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Riesz Lp summability of spectral expansions related to the Schrödinger operator with constant magnetic field

✍ Scribed by G. Rozenblum; G. Tashchiyan

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
178 KB
Volume
284
Category
Article
ISSN
0022-247X

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✦ Synopsis

For the spectral expansions related to the Schrödinger operator with constant magnetic field we establish Riesz-Bochner summability in L p .

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We consider some properties of the spectral expansions related to selfadjoint extensions of the operator Hu -----u" + q(x)u over the whole line R in the case when q(x) is a continuous periodic function (the Hill operator) and in the case when q(x) is a bounded measurable function. This paper gives a