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49 sonuçtan 1-3 arası sonuçlar
Sayfa 10
It turns out that the existence of such embeddings is a special phenomenon .
Theorem 1 . If there exists an isometric embedding en - then either q = 2 and PE
2N , or K = R and { p , q } = { 1 , 00 } . In the real case the theorem was proved in (
22 ) ...
It turns out that the existence of such embeddings is a special phenomenon .
Theorem 1 . If there exists an isometric embedding en - then either q = 2 and PE
2N , or K = R and { p , q } = { 1 , 00 } . In the real case the theorem was proved in (
22 ) ...
Sayfa 12
Another minimal real isometric embedding is l lå comes from the cubature
formula constructed in [ 9 ] by taking the vertices of the regular icosahedron as
nodes . This example was generalized by Sobolev [ 31 ] who suggested to place
the ...
Another minimal real isometric embedding is l lå comes from the cubature
formula constructed in [ 9 ] by taking the vertices of the regular icosahedron as
nodes . This example was generalized by Sobolev [ 31 ] who suggested to place
the ...
Sayfa 14
So far we have focused on how the cubature formulas lead to isometric
embeddings . Remarkably , this way is ... In this case an isometric embedding om
ten over K does exist because all ox belong to OK ( m , p ) . Conversely , the Fact
...
So far we have focused on how the cubature formulas lead to isometric
embeddings . Remarkably , this way is ... In this case an isometric embedding om
ten over K does exist because all ox belong to OK ( m , p ) . Conversely , the Fact
...
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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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Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
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