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Sayfa 447
In ( 10 ) , a result was announced concerning the finiteness of the number of gaps
in the spectrum of the Schrödinger and Dirac operators in the presence of a
periodic electric potential and a magnetic field with periodic vector potential ( for
a ...
In ( 10 ) , a result was announced concerning the finiteness of the number of gaps
in the spectrum of the Schrödinger and Dirac operators in the presence of a
periodic electric potential and a magnetic field with periodic vector potential ( for
a ...
Sayfa 484
are mutually orthogonal and can be calculated by the formulas N / J - 1 1 ( 1.2 )
Nk ( ) Σ ĥ ( k + Jm ) exp ( 2Tisk + Jm ) : / N ) , k = 0,1 , ... , J – 1 . N m = 0 Proof of
Lemma 1. Let T be the Gram matrix of the elements of the vector ñ and G the
Gram ...
are mutually orthogonal and can be calculated by the formulas N / J - 1 1 ( 1.2 )
Nk ( ) Σ ĥ ( k + Jm ) exp ( 2Tisk + Jm ) : / N ) , k = 0,1 , ... , J – 1 . N m = 0 Proof of
Lemma 1. Let T be the Gram matrix of the elements of the vector ñ and G the
Gram ...
Sayfa 496
where ā " is the vector of coefficients to be found , we see that ā ” is the solution of
a system of linear equations with a certain p - diagonal circulant matrix ( we recall
that Øn ( . ) can be viewed either as a vector - valued function or as a matrix of ...
where ā " is the vector of coefficients to be found , we see that ā ” is the solution of
a system of linear equations with a certain p - diagonal circulant matrix ( we recall
that Øn ( . ) can be viewed either as a vector - valued function or as a matrix of ...
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İçindekiler
REPRESENTATION OF A FORM | 17 |
10 The automorphism groups of discriminant forms | 59 |
12 A general formula for the weight of representations | 65 |
Telif Hakkı | |
5 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
apply arbitrary assume assumptions asymptotics bases basis belongs boundary bounded classical coefficients coincides compact complex condition Consequently consider constant construction contains continuous convex corresponding curve decomposition defined definition denote depends described determined differential dimension direct discrete domain eigenfunctions eigenvalues elements English equal equation estimate example exists factor field finite fixed formula function given gives graph implies independent inequality integral introduce invariant lattice Lemma limit linear manifolds Math Mathematical matrix measure method Moreover observe obtain operator orbits particular periodic perturbation Phys positive potential present problem Proof properties Proposition prove quantum relation Remark representations respect restriction result satisfies similar smooth solutions space spectral spectrum statement Subsection sufficiently surface symbol Theorem theory transformation transl unique values vector