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Localization of spectral decompositions, corresponding to a homogeneous elliptic operator

โœ Scribed by A. K. Pulatov


Publisher
SP MAIK Nauka/Interperiodica
Year
1982
Tongue
English
Weight
425 KB
Volume
31
Category
Article
ISSN
0001-4346

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## The operator A e = D 1 g 1 (x 1 / e,x 2 )D 1 +D 2 g 2 (x 1 / e,x 2 )D 2 is considered in L 2 (R 2 ), where g j (x 1 ,x 2 ), j = 1, 2, are periodic in x 1 with period 1, bounded and positive definite. Let function Q(x 1 ,x 2 ) be bounded, positive definite and periodic in x 1 with period 1. Let