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Sayfa 528
This finishes the proof of the inclusion Trang ( E , F ) < GSP ( 21 , R ) and of the
theorem . Usually , we shall apply this result in the following form . Corollary .
Under the conditions of Lemma 5 , Trang ( Ep ( 21 , R ) , GSP ( 21 , R ) ) = GSp (
21 , R ) ...
This finishes the proof of the inclusion Trang ( E , F ) < GSP ( 21 , R ) and of the
theorem . Usually , we shall apply this result in the following form . Corollary .
Under the conditions of Lemma 5 , Trang ( Ep ( 21 , R ) , GSP ( 21 , R ) ) = GSp (
21 , R ) ...
Sayfa 532
We approach the core of the proof : reduction to proper parabolic subgroups . We
wish to show that if H contains a matrix y € GSP ( 21 , R ) whose first column
coincides with the first column of the identity matrix , then H contains a nontrivial ...
We approach the core of the proof : reduction to proper parabolic subgroups . We
wish to show that if H contains a matrix y € GSP ( 21 , R ) whose first column
coincides with the first column of the identity matrix , then H contains a nontrivial ...
Sayfa 551
Proof . The arguments are the same as in the proof of a similar statement for the
space of square - integrable functions ( see [ 13 ] ) . For completeness , we
outline the proof in the case where the spectrum A is simple . Let ert e VHPI - h .
Proof . The arguments are the same as in the proof of a similar statement for the
space of square - integrable functions ( see [ 13 ] ) . For completeness , we
outline the proof in the case where the spectrum A is simple . Let ert e VHPI - h .
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İçindekiler
S 1061002204008180 | 470 |
3 Linearized differential operators | 480 |
Moduli spaces for the solutions of quasilinear elliptic | 488 |
Telif Hakkı | |
5 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
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algebra apply arbitrary assume Banach space base basis belongs boundary bounded called Chapter coefficients coincides compact complete Consequently consider constant constructed contains contraction convergence corresponding curve defined Definition denote depend determined difference differential operator domain effective eigenvalues element elliptic English transl equal equation equivalent estimate example exists extension fact factorization field finite fixed formula function given homogenization ideal identity implies inequality integral isomorphism Journal Lemma linear mapping Math Mathematical matrix means method Moreover multiple norm normal notation obtain operator parameters particular periodic polynomial positive present problem Proof Proposition prove regular relation Remark representation respectively ring satisfies sequence side similar smooth solution space statement subgroup Subsection suffices Suppose Theorem theory transformation values vector zero