St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
76 sonuçtan 1-3 arası sonuçlar
Sayfa 34
Proof . Statement 1 follows from ( 2.3 ) . We check statement 2. Let w1 € Hy , so that the form ( Dw1 + Vw1 , w2 ) o is continuous in w2 with respect to the L2 - norm . Then , assuming for simplicity that is real , we have ( 2.5 ) ( D ...
Proof . Statement 1 follows from ( 2.3 ) . We check statement 2. Let w1 € Hy , so that the form ( Dw1 + Vw1 , w2 ) o is continuous in w2 with respect to the L2 - norm . Then , assuming for simplicity that is real , we have ( 2.5 ) ( D ...
Sayfa 222
Note that statement ( 5.3 ) is equivalent to the statement in Theorem 3.3 . The ( ← ) part of statement ( 5.3 ) is trivial : if ( vzyelz = z . ) = 0 , then Ə2 Þe ( 2 ) | z = ze - ( ƏzVzye , E. ( Vzye ) ) | z = z , = ( ƏzVzyc│z = ze ...
Note that statement ( 5.3 ) is equivalent to the statement in Theorem 3.3 . The ( ← ) part of statement ( 5.3 ) is trivial : if ( vzyelz = z . ) = 0 , then Ə2 Þe ( 2 ) | z = ze - ( ƏzVzye , E. ( Vzye ) ) | z = z , = ( ƏzVzyc│z = ze ...
Sayfa 229
... statement of part 3 ) . € For the " if " part , to fix the ideas we assume that P , has a minimum at ze , i.e. , ☀'e ( z ) = 0 and " ( ze ) > 0. We want to show that W. ( 20 ) > 0 for the critical point zo found in part 2 ) above . By ...
... statement of part 3 ) . € For the " if " part , to fix the ideas we assume that P , has a minimum at ze , i.e. , ☀'e ( z ) = 0 and " ( ze ) > 0. We want to show that W. ( 20 ) > 0 for the critical point zo found in part 2 ) above . 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