St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
83 sonuçtan 1-3 arası sonuçlar
Sayfa 43
... true . In particular , there exists a real point z = λo at which ( 3.27 ) is true . Proof of Theorem 3.1 . Consider the operator K = | V | 1/2 ( Lo Ao ) -1 with this o . The spectrum of K * K coincides with the spectrum of the ...
... true . In particular , there exists a real point z = λo at which ( 3.27 ) is true . Proof of Theorem 3.1 . Consider the operator K = | V | 1/2 ( Lo Ao ) -1 with this o . The spectrum of K * K coincides with the spectrum of the ...
Sayfa 153
... true . Theorem 3.1 . For each fЄ B ( 4 ) and each integer N≥ 1 , there is a function fN E L ( N ) such that ( 3.3 ) - || ƒ ƒN || ≤ CN − || f || B ; ( 4 ) › and p * : = min ( 1 , p ) . where C is a constant depending only on To ...
... true . Theorem 3.1 . For each fЄ B ( 4 ) and each integer N≥ 1 , there is a function fN E L ( N ) such that ( 3.3 ) - || ƒ ƒN || ≤ CN − || f || B ; ( 4 ) › and p * : = min ( 1 , p ) . where C is a constant depending only on To ...
Sayfa 184
... true . Denote A min info ( x ( X1 ) ) . X ER2 Evidently , A € [ −Co , 0 ] , and A = 0 for nonnegative V. By ( 1.3 ) , we have § ( \ ; x ( X1 ) , Xo ) = 0 for all X1 if X < A. Thus , the integrals in ( 2.3 ) and ( 2.4 ) vanish if \ < A ...
... true . Denote A min info ( x ( X1 ) ) . X ER2 Evidently , A € [ −Co , 0 ] , and A = 0 for nonnegative V. By ( 1.3 ) , we have § ( \ ; x ( X1 ) , Xo ) = 0 for all X1 if X < A. Thus , the integrals in ( 2.3 ) and ( 2.4 ) vanish if \ < A ...
İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL SPACES | 17 |
CONTENTS | 27 |
1 Introduction | 117 |
Telif Hakkı | |
5 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
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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