St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
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84 sonuçtan 1-3 arası sonuçlar
Sayfa 114
... relation ( 27 ) implies the exact equation ( 28 ) where ( 29 ) U ( \ , x ) = U1 ( x ) λ + Uo ( x ) , and ( 30 ) -iσ3 U1 ( x ) = -ioз 0 0 Uo ( x ) = i [ da , m1 ( x ) ] = ( -iv ( x ) u ( x ) ) . As soon as the polynomial structure of U ...
... relation ( 27 ) implies the exact equation ( 28 ) where ( 29 ) U ( \ , x ) = U1 ( x ) λ + Uo ( x ) , and ( 30 ) -iσ3 U1 ( x ) = -ioз 0 0 Uo ( x ) = i [ da , m1 ( x ) ] = ( -iv ( x ) u ( x ) ) . As soon as the polynomial structure of U ...
Sayfa 403
... relation between the Christoffel symbols ( see [ 4 , p . 113 ] ) : ( 1.4 ) I11 = r ; +0,8 + 0,8k – o * gij , where σ1 = d1σ , σ = gkio , and 8 is the Kronecker delta . Obviously , the Euler - Lagrange dio , ok equations ( 1.3 ) are ...
... relation between the Christoffel symbols ( see [ 4 , p . 113 ] ) : ( 1.4 ) I11 = r ; +0,8 + 0,8k – o * gij , where σ1 = d1σ , σ = gkio , and 8 is the Kronecker delta . Obviously , the Euler - Lagrange dio , ok equations ( 1.3 ) are ...
Sayfa 421
... relation ( 1.13 ) and one of the relations ( 1.14 ) tanh a + -1 α + 4 a . = απ tan 1 " 4 c + + tanh α + 4 α- = a_ tan 4 are fulfilled . From the further analysis it is clear that for | t | ≤ 2√3 relations ( 1.14 ) fail . Combined with ...
... relation ( 1.13 ) and one of the relations ( 1.14 ) tanh a + -1 α + 4 a . = απ tan 1 " 4 c + + tanh α + 4 α- = a_ tan 4 are fulfilled . From the further analysis it is clear that for | t | ≤ 2√3 relations ( 1.14 ) fail . Combined with ...
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