St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
13 sonuçtan 1-3 arası sonuçlar
Sayfa 223
... compute the basis matrix for the basis { Tj , Gs ( x ) } . First , we compute Tj and Gs . For the translational tangent vectors , we have explicitly ( 5.12 ) Tj = · ( 8 ) ( ( aj - iA ; ) ) Oj A – VAj ) - for j = 1,2 . a1 ( r ) Ve ( for ...
... compute the basis matrix for the basis { Tj , Gs ( x ) } . First , we compute Tj and Gs . For the translational tangent vectors , we have explicitly ( 5.12 ) Tj = · ( 8 ) ( ( aj - iA ; ) ) Oj A – VAj ) - for j = 1,2 . a1 ( r ) Ve ( for ...
Sayfa 294
... computation shows that its rank at a given point is 2 if VP 0 and 0 if VP = 0. If P is elliptic and homogeneous , we see that the rank is constant outside 0 and is equal to 2. There are two cases : ( 1 ) For n = 1 , we see that Σ is ...
... computation shows that its rank at a given point is 2 if VP 0 and 0 if VP = 0. If P is elliptic and homogeneous , we see that the rank is constant outside 0 and is equal to 2. There are two cases : ( 1 ) For n = 1 , we see that Σ is ...
Sayfa 336
... computation shows that A ' = -2A 0. Consequently , the line o transversally intersects Q at b . Now , approximating the vector έ by vectors C'Є RV with rational coordinates , we obtain lines σ ' , o ' ( t ) = c + t ' , such that the ...
... computation shows that A ' = -2A 0. Consequently , the line o transversally intersects Q at b . Now , approximating the vector έ by vectors C'Є RV with rational coordinates , we obtain lines σ ' , o ' ( t ) = c + t ' , such that the ...
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