St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
83 sonuçtan 1-3 arası sonuçlar
Sayfa 39
For functions defined on R3 , we denote by P the operator of restriction to N ; next , by P * we denote the operator of extension of functions defined on N to the entire R3 by zero outside N ( above , these operators were used ...
For functions defined on R3 , we denote by P the operator of restriction to N ; next , by P * we denote the operator of extension of functions defined on N to the entire R3 by zero outside N ( above , these operators were used ...
Sayfa 40
... defined on H1 / 2 ( N ) 4 , but it extends to a bounded operator on H ° ( N ) 1 by the formula ( 3.10 ) ( cf. ( 2.18 ) ... defined on functions on that lie in the domain of | V | 1/2 ; the second and the third operators are defined on ...
... defined on H1 / 2 ( N ) 4 , but it extends to a bounded operator on H ° ( N ) 1 by the formula ( 3.10 ) ( cf. ( 2.18 ) ... defined on functions on that lie in the domain of | V | 1/2 ; the second and the third operators are defined on ...
Sayfa 343
... defined in a standard way as the product of two measures : the normalized Riemannian volume on M and the normalized Riemannian volume on the unit ( n - 1 ) -sphere . This measure is called the Liouville measure . Since for almost every ...
... defined in a standard way as the product of two measures : the normalized Riemannian volume on M and the normalized Riemannian volume on the unit ( n - 1 ) -sphere . This measure is called the Liouville measure . Since for almost every ...
İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL SPACES | 17 |
CONTENTS | 27 |
1 Introduction | 117 |
Telif Hakkı | |
5 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
analytic apply approximation assume asymptotic belongs BKN-equation block boundary bounded called closed coefficients compatible complete components condition Consequently consider constant construction contains continuous corresponding covering defined definition denote differential domain edge eigenvalues embedding equal equation estimate example exists extension fact fibers field finite fixed formula function given graph harmonic implies inequality integral 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 transl true unique values vector vertex vertices zero