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Sayfa 789
4 A RIEMANN - ROCH THEOREM FOR INTEGRALS AND SUMS OF
QUASIPOLYNOMIALS OVER VIRTUAL POLYTOPES A ... We show that there
exists a linear differential operator ( the Todd operator ) transforming the integral
to the sum .
4 A RIEMANN - ROCH THEOREM FOR INTEGRALS AND SUMS OF
QUASIPOLYNOMIALS OVER VIRTUAL POLYTOPES A ... We show that there
exists a linear differential operator ( the Todd operator ) transforming the integral
to the sum .
Sayfa 804
the cone C , and zi , . . . , Zin the corresponding coordinates on the space of
virtual polytope P * ( V , E ) . The covectors li , , . . . , lin will be considered as an
integral coordinate system on V . Now we have ai ( 21 , . . . , Zn ) = [ Wi ( 21 , . . . ,
Zn ) ] ...
the cone C , and zi , . . . , Zin the corresponding coordinates on the space of
virtual polytope P * ( V , E ) . The covectors li , , . . . , lin will be considered as an
integral coordinate system on V . Now we have ai ( 21 , . . . , Zn ) = [ Wi ( 21 , . . . ,
Zn ) ] ...
Sayfa 1122
5 ) , we can control the integral norms of the function g on the right - hand side of
the last relation : n | 18 | | 2 < c , | | ( 1 + 121 ) 8 | | 2 < c ( 1 + d ! + 1011 + 11 ) ( 1 +
t ) . By ( 1 . 4 . 8 ) and ( 1 . 4 . 10 ) , we now get for Du the final result ( 1 . 4 .
5 ) , we can control the integral norms of the function g on the right - hand side of
the last relation : n | 18 | | 2 < c , | | ( 1 + 121 ) 8 | | 2 < c ( 1 + d ! + 1011 + 11 ) ( 1 +
t ) . By ( 1 . 4 . 8 ) and ( 1 . 4 . 10 ) , we now get for Du the final result ( 1 . 4 .
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İçindekiler
HADAMARDS CONJECTURE | 634 |
Necessary facts about Sobolev spaces | 643 |
Elliptic differential inequalities | 655 |
Telif Hakkı | |
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Sık kullanılan terimler ve kelime öbekleri
According algebra analytic apply assertion assume asymptotic Banach space boundary bounded called closed complete condition cone connected Consequently consider const constant construction contains continuous corresponding cubes defined definition denote depend derivatives described determined differential direct domain eigenvalues element English transl equality equation equivalent estimate example exists extension fact field finite fixed follows formula function Further given gives hence holds implies inequality integral introduce lattice Lemma limit linear mapping Math Mathematical matrix means measure multiplicity norm obtained Obviously operator pair particular perturbation polynomial positive possible present principle problem Proof properties Proposition proved reduced relation remains Remark representation respect satisfies scattering side smooth solution space spectral spectrum subspace sufficiently Suppose Theorem theory unique valid vector zero