St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
41 sonuçtan 1-3 arası sonuçlar
Sayfa 95
... corollary , which will be used in the proof of the trace formula . Corollary 5.2 . With the notation and under the hypothesis of Theorem 1.1 , we have ( 5.15 ) U + { ( G + − wI ) −1 − ( G_ - wI ) ̄1 } U ‡ F = ( RwN ) N ( w ) ̄1F ( w ) ...
... corollary , which will be used in the proof of the trace formula . Corollary 5.2 . With the notation and under the hypothesis of Theorem 1.1 , we have ( 5.15 ) U + { ( G + − wI ) −1 − ( G_ - wI ) ̄1 } U ‡ F = ( RwN ) N ( w ) ̄1F ( w ) ...
Sayfa 153
... Corollary 3.2 . Under the assumptions of Theorem 3.1 , but with p < 1 if q = ∞ , the inequality ( 3.5 ) N≥1 is true with C = C ( 4 , p * ) . Remark 3.3 . By using the assertion of Example 2.12 , assumption ( a ) in Theorem 3.1 and the ...
... Corollary 3.2 . Under the assumptions of Theorem 3.1 , but with p < 1 if q = ∞ , the inequality ( 3.5 ) N≥1 is true with C = C ( 4 , p * ) . Remark 3.3 . By using the assertion of Example 2.12 , assumption ( a ) in Theorem 3.1 and the ...
Sayfa 280
... Corollary 3.3 in [ 10 ] , because T \ I and I are at a positive distance from each other . Therefore , : = 9 = 91 + 92 , 91 € H ° ( ( TUk ) ′ ) , 92 € H ° ( ( T \ Ñ ) ' ) , and ( 49 ) is fulfilled with fo = ( 92 ° Þ ̃1 ) | C + , ƒo ...
... Corollary 3.3 in [ 10 ] , because T \ I and I are at a positive distance from each other . Therefore , : = 9 = 91 + 92 , 91 € H ° ( ( TUk ) ′ ) , 92 € H ° ( ( T \ Ñ ) ' ) , and ( 49 ) is fulfilled with fo = ( 92 ° Þ ̃1 ) | C + , ƒo ...
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