St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
86 sonuçtan 1-3 arası sonuçlar
Sayfa 206
... relations hold true for q = Q + 1 . We have ( 9.17 ) 1 ( FYQ + 1 , k , YQ + 1 , j ) = · ( F ( a * ) Q + 1 40 , k , ( a * ) Q + 1o , j ) · ( Q + 1 ) ! ( 2b ) Q + 1 Utilizing the commutation relations ( 9.3 ) , ( 9.16 ) , and ( 9.15 ) ...
... relations hold true for q = Q + 1 . We have ( 9.17 ) 1 ( FYQ + 1 , k , YQ + 1 , j ) = · ( F ( a * ) Q + 1 40 , k , ( a * ) Q + 1o , j ) · ( Q + 1 ) ! ( 2b ) Q + 1 Utilizing the commutation relations ( 9.3 ) , ( 9.16 ) , and ( 9.15 ) ...
Sayfa 382
... relations ( 2.17 ) Vrt + ( V · V ) vr + ( ễr · V ) v ' – v ▽ 2 Jr + Vpr = -σ ' ( x , t ) = w ( t ) ñз ( x ) , - V1 = 0 , x = Nt , t > 0 , vr Ñr ( x , 0 ) = ̃o ( x ) — v ′ ( x , 0 ) , 1 T ( ~ r , Pr ) ñ = ( oH + 1⁄2 | v ′ | ...
... relations ( 2.17 ) Vrt + ( V · V ) vr + ( ễr · V ) v ' – v ▽ 2 Jr + Vpr = -σ ' ( x , t ) = w ( t ) ñз ( x ) , - V1 = 0 , x = Nt , t > 0 , vr Ñr ( x , 0 ) = ̃o ( x ) — v ′ ( x , 0 ) , 1 T ( ~ r , Pr ) ñ = ( oH + 1⁄2 | v ′ | ...
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