St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
78 sonuçtan 1-3 arası sonuçlar
Sayfa 150
... satisfies ( 2.28 ) sup [ m * ( j , k ) | < ∞ . j , k Proof . Using the o - stability of and ( 2.23 ) , we get | m ... satisfies the p - stability condition in ( 2.27 ) if and only if for each ( 2.29 ) Here * ( R " ) there exists kЄ Z ...
... satisfies ( 2.28 ) sup [ m * ( j , k ) | < ∞ . j , k Proof . Using the o - stability of and ( 2.23 ) , we get | m ... satisfies the p - stability condition in ( 2.27 ) if and only if for each ( 2.29 ) Here * ( R " ) there exists kЄ Z ...
Sayfa 383
... satisfies ( 2.3 ) and ( 2.4 ) ) . 2 ) vo € C2 + α ( No ) satisfies the compatibility conditions V.vo ( y ) = 0 , ( S ( vo ) ño ) tan . S ( vo ) ño - ño ( ño · S ( vo ) ño ) | yeг 。= 0 , where no is the unit outward normal to To ; 3 ...
... satisfies ( 2.3 ) and ( 2.4 ) ) . 2 ) vo € C2 + α ( No ) satisfies the compatibility conditions V.vo ( y ) = 0 , ( S ( vo ) ño ) tan . S ( vo ) ño - ño ( ño · S ( vo ) ño ) | yeг 。= 0 , where no is the unit outward normal to To ; 3 ...
Sayfa 398
... satisfies ( 4.19 ) . Since | S12 | ≤ √S11S12 , the first term on the right in ( 4.22 ) is nonnegative , whence > - [ ( 3 ) −I ( 3 ) ≥ K4 , | K4 | ≤ cô || p || } ; ( G ) ⋅ * Finally , expressing the difference H H in terms of p by ...
... satisfies ( 4.19 ) . Since | S12 | ≤ √S11S12 , the first term on the right in ( 4.22 ) is nonnegative , whence > - [ ( 3 ) −I ( 3 ) ≥ K4 , | K4 | ≤ cô || p || } ; ( G ) ⋅ * Finally , expressing the difference H H in terms of p by ...
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