Finiteness of the number of lacunae in the spectrum of the multidimensional polyharmonic operator with a~periodic potential
Sbornik. Mathematics, Tome 41 (1982) no. 1, pp. 115-125
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The spectrum of the multidimensional polyharmonic differential operator is investigated. The finiteness of the number of connected components of the spectrum is proved.
Bibliography: 10 titles.
@article{SM_1982_41_1_a6,
author = {M. M. Skriganov},
title = {Finiteness of the number of lacunae in the spectrum of the multidimensional polyharmonic operator with a~periodic potential},
journal = {Sbornik. Mathematics},
pages = {115--125},
publisher = {mathdoc},
volume = {41},
number = {1},
year = {1982},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1982_41_1_a6/}
}
TY - JOUR AU - M. M. Skriganov TI - Finiteness of the number of lacunae in the spectrum of the multidimensional polyharmonic operator with a~periodic potential JO - Sbornik. Mathematics PY - 1982 SP - 115 EP - 125 VL - 41 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_1982_41_1_a6/ LA - en ID - SM_1982_41_1_a6 ER -
%0 Journal Article %A M. M. Skriganov %T Finiteness of the number of lacunae in the spectrum of the multidimensional polyharmonic operator with a~periodic potential %J Sbornik. Mathematics %D 1982 %P 115-125 %V 41 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/SM_1982_41_1_a6/ %G en %F SM_1982_41_1_a6
M. M. Skriganov. Finiteness of the number of lacunae in the spectrum of the multidimensional polyharmonic operator with a~periodic potential. Sbornik. Mathematics, Tome 41 (1982) no. 1, pp. 115-125. http://geodesic.mathdoc.fr/item/SM_1982_41_1_a6/