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Sayfa 107
What apparently was not noticed in the classical works, is that the associated
Riemann-Hilbert problems can be used to study the global properties of the
Painleve functions and, in particular, to obtain the explicit asymptotic connection
...
What apparently was not noticed in the classical works, is that the associated
Riemann-Hilbert problems can be used to study the global properties of the
Painleve functions and, in particular, to obtain the explicit asymptotic connection
...
Sayfa 108
was presented in [34, 8, 16], and [10]; in particular, it allows one to prove the
Painleve property for all the Painleve transcendences.3 Also, the Riemann-
Hilbert factorization setting made it possible to use the nonlinear steepest
descent method ...
was presented in [34, 8, 16], and [10]; in particular, it allows one to prove the
Painleve property for all the Painleve transcendences.3 Also, the Riemann-
Hilbert factorization setting made it possible to use the nonlinear steepest
descent method ...
Sayfa 117
In its turn, this implies that, in the case of the second Painleve equation (41), the
set S of monodromy data becomes a two-dimensional algebraic variety: S% = (s
= {si,S2,s3) 6 C3 : si - s2 + s3 + SiS2sa = 0}. FVom Corollaries 2 and 3 we ...
In its turn, this implies that, in the case of the second Painleve equation (41), the
set S of monodromy data becomes a two-dimensional algebraic variety: S% = (s
= {si,S2,s3) 6 C3 : si - s2 + s3 + SiS2sa = 0}. FVom Corollaries 2 and 3 we ...
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İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL SPACES | 17 |
Dedicated to M Sh Birman on the occasion of his 75th birthday | 285 |
Abstract The nonexistence of isometric embeddings I J1 t with p q is proved | 296 |
Telif Hakkı | |
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admits separation approximation assume asymptotic Birman BKN-equation boundary condition bounded C(zlm coefficients cohomology classes components consider constant Corollary corresponding defined definition denote diffeomorphism differential equations Dirac operator domain edge eigenvalues elliptic English transl estimate Euler characteristic exists finite formula geodesic graph-manifold Hilbert space holomorphic homogeneous hypoelliptic implies inequality inverse kernel labeled graph Lemma linear Math Mathematics Subject Classification matrix matrix-valued function maximal blocks meromorphic monodromy nonzero norm notation NPC-solution obtain oriented Painleve Painleve equations pair paper polynomial positive potential problem proof of Theorem properties Proposition prove rational refinable function relation respect result Riemann-Hilbert problem Riemannian manifold satisfies Seifert fibered Seifert fibered space selfadjoint selfadjoint operators singular smooth Sobolev Sobolev spaces spectrum Subsection subspace Suppose symmetric tensor Theorem Theorem 3.1 theory torus trace class unique vector vertex vertices zero