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Sayfa 384
For a group G of isometries of a manifold M , we denote by [ c ] the conjugacy
class of an element ce G ; this class ... The intersections of any conjugacy class (
c ) with H and H2 consist of equally many elements : # ( [ c ] n H1 ) = # ( [ c ] n H2 )
...
For a group G of isometries of a manifold M , we denote by [ c ] the conjugacy
class of an element ce G ; this class ... The intersections of any conjugacy class (
c ) with H and H2 consist of equally many elements : # ( [ c ] n H1 ) = # ( [ c ] n H2 )
...
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 493
03273112 - āvii3 | lv2 + 1 / 12 and w ; = vj + 1 can be taken as the elements of a
Wiener basis . In what follows we assume that the norms of the elements of the
Wiener bases in the spaces Vi are equal to 1. Then the above formula takes the ...
03273112 - āvii3 | lv2 + 1 / 12 and w ; = vj + 1 can be taken as the elements of a
Wiener basis . In what follows we assume that the norms of the elements of the
Wiener bases in the spaces Vi are equal to 1. Then the above formula takes the ...
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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
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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