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47 sonuçtan 1-3 arası sonuçlar
Sayfa 24
Consequently , the matrix B gives rise to a bijection B * “ T between By and the
set of matrices T as in ( 1.10 ) , and formula ( 1.9 ) gives rise to a parametrization
of Bb . We clarify how the matrices C and G mentioned in Subsection A C * * C *
Q ...
Consequently , the matrix B gives rise to a bijection B * “ T between By and the
set of matrices T as in ( 1.10 ) , and formula ( 1.9 ) gives rise to a parametrization
of Bb . We clarify how the matrices C and G mentioned in Subsection A C * * C *
Q ...
Sayfa 27
... we see that the following lemma is proved . Lemma 2.1 . The map ( 2.12 ) gives
rise to a bijection ( 2.16 ) pbo . A ( I + ) > { 0 } + cl ( c between the orbits { 0 } + (
see ( 2.11 ) ) of the primitive representations b occurring in ( 1.4 ) and contained
in ...
... we see that the following lemma is proved . Lemma 2.1 . The map ( 2.12 ) gives
rise to a bijection ( 2.16 ) pbo . A ( I + ) > { 0 } + cl ( c between the orbits { 0 } + (
see ( 2.11 ) ) of the primitive representations b occurring in ( 1.4 ) and contained
in ...
Sayfa 382
The answer to Kac's question also gives a solution of a closely related problem of
describing the classes of metrics on a given manifold that possess the same
spectrum ( the metrics that “ sound likewise " ) . Indeed , the isospectrality of two ...
The answer to Kac's question also gives a solution of a closely related problem of
describing the classes of metrics on a given manifold that possess the same
spectrum ( the metrics that “ sound likewise " ) . Indeed , the isospectrality of two ...
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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