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Sayfa 1136
The discrete spectrum . The special structure of the perturbation V enables us to
get additional information about the discrete spectrum of H . It is expedient to
pass to a new basis in the matrix representation of H . More concretely , we
should ...
The discrete spectrum . The special structure of the perturbation V enables us to
get additional information about the discrete spectrum of H . It is expedient to
pass to a new basis in the matrix representation of H . More concretely , we
should ...
Sayfa 1148
... will return to this problem later . c ) Systems with a discrete spectrum . The
previous examples of rotation Lie algebras have a Z + Z - grading structure . The
reason was that a rotation of the unit circle has a discrete spectrum that is
isomorphic ...
... will return to this problem later . c ) Systems with a discrete spectrum . The
previous examples of rotation Lie algebras have a Z + Z - grading structure . The
reason was that a rotation of the unit circle has a discrete spectrum that is
isomorphic ...
Sayfa 1255
In the case when the spectrum of the operators T and T + on No and no is
discrete the residues of the operator - valued function Rat these points coincide
with the residues of T ( T - 11 ) - 1 and ( T + + 11 ) - ' , respectively , and can be ...
In the case when the spectrum of the operators T and T + on No and no is
discrete the residues of the operator - valued function Rat these points coincide
with the residues of T ( T - 11 ) - 1 and ( T + + 11 ) - ' , respectively , and can be ...
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İçindekiler
HADAMARDS CONJECTURE | 634 |
Necessary facts about Sobolev spaces | 643 |
Elliptic differential inequalities | 655 |
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According algebra analytic apply assertion assume asymptotic Banach space boundary bounded called closed complete condition cone connected Consequently consider const constant construction contains continuous corresponding cubes defined definition denote depend derivatives described determined differential direct domain eigenvalues element English transl equality equation equivalent estimate example exists extension fact field finite fixed follows formula function Further given gives hence holds implies inequality integral introduce lattice Lemma limit linear mapping Math Mathematical matrix means measure multiplicity norm obtained Obviously operator pair particular perturbation polynomial positive possible present principle problem Proof properties Proposition proved reduced relation remains Remark representation respect satisfies scattering side smooth solution space spectral spectrum subspace sufficiently Suppose Theorem theory unique valid vector zero