St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
71 sonuçtan 1-3 arası sonuçlar
Sayfa 35
... norm with j . For example , we have And so on . || ( D + V ) R3 ( 41W ) || 0 , N 3 ≤ || ( D + V ) R3 ( 141W ) || 0 ... norm ( 2.8 ) can be written in an obvious way . ) This assertion follows from the completeness of the space Hy ( R3 ) ...
... norm with j . For example , we have And so on . || ( D + V ) R3 ( 41W ) || 0 , N 3 ≤ || ( D + V ) R3 ( 141W ) || 0 ... norm ( 2.8 ) can be written in an obvious way . ) This assertion follows from the completeness of the space Hy ( R3 ) ...
Sayfa 191
... norm . Moreover , ( 4.8 ) || Tq ( E + i0 ) || ≤ C1 E - 2bq | 1/2 EЄR \ { 2bq } , ( 4.9 ) || Tq ( E + i0 ) || s1 ≤ - C2b | E – 2bq | 1/2 - · ( 1+ | E − 2bq | 1 / 4 ) , E € R \ { 2bq } . In the sequel , for E R \ { 2bq } and \ ER \ { 0 } ...
... norm . Moreover , ( 4.8 ) || Tq ( E + i0 ) || ≤ C1 E - 2bq | 1/2 EЄR \ { 2bq } , ( 4.9 ) || Tq ( E + i0 ) || s1 ≤ - C2b | E – 2bq | 1/2 - · ( 1+ | E − 2bq | 1 / 4 ) , E € R \ { 2bq } . In the sequel , for E R \ { 2bq } and \ ER \ { 0 } ...
Sayfa 196
... norm . Here the only nontrivial issue is the continuous dependence on X ( observe that ( X ) is not continuous in X even in the operator norm ) . In order to prove the continuous dependence on X1 , first we observe that the operators a ...
... norm . Here the only nontrivial issue is the continuous dependence on X ( observe that ( X ) is not continuous in X even in the operator norm ) . In order to prove the continuous dependence on X1 , first we observe that the operators a ...
İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL pSPACES | 11 |
OVER THE QUATERNIONS | 104 |
1 Introduction | 117 |
Telif Hakkı | |
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analytic approximation assume asymptotic Birman BKN-equation bounded C(zIm coefficients cohomology classes compatible components constant corresponding defined denote diffeomorphism Dirac operator domain edge eigenvalues embedding English transl estimate Euler characteristic exists finite formula geodesic graph graph-manifold harmonic Hilbert space holomorphic implies inequality integral invertible isometric K₁ kernel Lemma length function linear Math matrix matrix-valued function maximal blocks meromorphic monodromy nonzero norm NPC-solution obtain oriented Painlevé equations pair paper polynomial positive potential problem proof of Theorem properties Proposition prove rational refinable function relation representation respect result Riemann-Hilbert Riemann-Hilbert problem Riemannian manifold S₁ satisfies Schrödinger operator Seifert fibered space self-affine selfadjoint selfadjoint operators singular Sobolev Sobolev spaces solution spectrum Subsection subspace supp Suppose symmetric Theorem Theorem 3.1 theory torus vector vertex vertices zero