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48 sonuçtan 1-3 arası sonuçlar
Sayfa 220
... fixed point solves ( 3 . 2 ) , which proves the first part of Theorem 3 . 2 . For part
a ) of the second part of Theorem 3 . 2 , we note that | | Szye ( 0 ) | | H2 = | | Lzze
Fzpe | | H2 53 – 1 | | Fc ( Uzy ) | | ( 2 · But for the fixed point Wzye we have Wzye ...
... fixed point solves ( 3 . 2 ) , which proves the first part of Theorem 3 . 2 . For part
a ) of the second part of Theorem 3 . 2 , we note that | | Szye ( 0 ) | | H2 = | | Lzze
Fzpe | | H2 53 – 1 | | Fc ( Uzy ) | | ( 2 · But for the fixed point Wzye we have Wzye ...
Sayfa 232
Since the map H is a contraction in Br2 ( 0 , a ) , it has a unique fixed point there ;
therefore , there exists a unique zo in BR2 ( z ' , a ) such that Weff . c ( 20 ) = 0 .
Moreover , for this fixed point a we have Jal = \ H ( a ) = \ H ( 0 ) | + | H ( a ) – H ( 0
...
Since the map H is a contraction in Br2 ( 0 , a ) , it has a unique fixed point there ;
therefore , there exists a unique zo in BR2 ( z ' , a ) such that Weff . c ( 20 ) = 0 .
Moreover , for this fixed point a we have Jal = \ H ( a ) = \ H ( 0 ) | + | H ( a ) – H ( 0
...
Sayfa 356
8 ) , we arrive at the required integral representation . Lemma 1 . Let N ' C HM be
a star - like region in a region 1 CH with respect to a Heisenberg ball B ( a , r ) .
Suppose 12 is bounded , N C B ( 0 , R ) . Let yo E CO ( B ( 0 , 1 ) ) be a fixed ...
8 ) , we arrive at the required integral representation . Lemma 1 . Let N ' C HM be
a star - like region in a region 1 CH with respect to a Heisenberg ball B ( a , r ) .
Suppose 12 is bounded , N C B ( 0 , R ) . Let yo E CO ( B ( 0 , 1 ) ) be a fixed ...
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İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL loSPACES | 23 |
Dedicated to M Sh Birman on the occasion of his 75th birthday | 285 |
ABSTRACT The nonexistence of isometric embeddings em line with p q is proved | 296 |
Telif Hakkı | |
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analytic apply approximation assume asymptotic belongs BKN-equation block boundary bounded called closed coefficients collection compatible complete components condition Consequently consider constant construction contains continuous corresponding covering defined definition denote differential domain edge eigenvalues embedding English equal equation estimate example exists extension fact fibers field finite fixed formula function given graph harmonic identity implies inequality integral introduce invertible Lemma linear manifold Math Mathematical matrix monodromy Moreover norm obtain operator oriented pair particular periodic polynomial positive potential present problem proof properties Proposition prove rational relation Remark representation respect result satisfies selfadjoint separation singular smooth solution space spectral spectrum statement Subsection sufficiently Suppose surface symmetric Theorem theory transformation transl true unique values vector vertex vertices zero