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Sayfa 127
We may also assume that v > 0 componentwise . It follows that u ( t , x ) > 0 ...
Assuming , in addition , that 0 < info ( -A + V ) , we see that if v E L ( M ; RM ) and v
> 0 componentwise , then the same is true for u = ( -A + V ) -lv . Indeed , we have
...
We may also assume that v > 0 componentwise . It follows that u ( t , x ) > 0 ...
Assuming , in addition , that 0 < info ( -A + V ) , we see that if v E L ( M ; RM ) and v
> 0 componentwise , then the same is true for u = ( -A + V ) -lv . Indeed , we have
...
Sayfa 142
Let y EC® ( RT ; R ) . We shall make a series of assumptions about y , which will
imply the appropriate assumptions used earlier in this paper . If yer and r ERP ~
12 ( T ) , we put ( Txx ) ; = X ; -a . Assume that ( G1 ) y satisfies the last condition in
...
Let y EC® ( RT ; R ) . We shall make a series of assumptions about y , which will
imply the appropriate assumptions used earlier in this paper . If yer and r ERP ~
12 ( T ) , we put ( Txx ) ; = X ; -a . Assume that ( G1 ) y satisfies the last condition in
...
Sayfa 143
We also assume that ( G7 ) there is a number R > 1 , independent of ' , such that {
Y EN ; F ( y ) < R } is uniformly compact . DR def For F ( 0 ) < r < R , we also
introduce Dr = { y E S2 ; F ( y ) < r } From $ 4 it follows that F is uniformly bounded
in ...
We also assume that ( G7 ) there is a number R > 1 , independent of ' , such that {
Y EN ; F ( y ) < R } is uniformly compact . DR def For F ( 0 ) < r < R , we also
introduce Dr = { y E S2 ; F ( y ) < r } From $ 4 it follows that F is uniformly bounded
in ...
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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