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Sayfa 308
We denote by c , C ( possibly , with subscripts ) various constants occurring in
estimates . Some statements involve the double symbol " + " ; for each of the two
signs , the corresponding statement should be read independently . The author ...
We denote by c , C ( possibly , with subscripts ) various constants occurring in
estimates . Some statements involve the double symbol " + " ; for each of the two
signs , the corresponding statement should be read independently . The author ...
Sayfa 384
THE SUNADA THEOREM AND THE CONSTRUCTION OF ISOSPECTRAL
MANIFOLDS We shall need the following notation . 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 SUNADA THEOREM AND THE CONSTRUCTION OF ISOSPECTRAL
MANIFOLDS We shall need the following notation . For a group G of isometries of
a manifold M , we denote by [ c ] the conjugacy class of an element ce G ; this
class ...
Sayfa 457
on q ; we denote this length by 2a ,. The sum of all the numbers 2a , is denoted by
L ( r ) . Clearly , a1 = 0-1 Vr - wal + 1/2 ) if I < r / w – 1/2 , whence L ( r ) = 26 - ' [ {
Vr - wal +1/2 ) : 0 < 157 / w- 1/2 } . Now we estimate the remainder ( 2.23 ) € ( r ...
on q ; we denote this length by 2a ,. The sum of all the numbers 2a , is denoted by
L ( r ) . Clearly , a1 = 0-1 Vr - wal + 1/2 ) if I < r / w – 1/2 , whence L ( r ) = 26 - ' [ {
Vr - wal +1/2 ) : 0 < 157 / w- 1/2 } . Now we estimate the remainder ( 2.23 ) € ( r ...
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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
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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