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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
Painlevé 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
Painlevé 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
Painlevé property for all the Painlevé transcendences . Also , the Riemann -
Hilbert factorization setting made it possible to use the nonlinear steepest
descent ...
was presented in [ 34 , 8 , 16 ) , and ( 10 ) ; in particular , it allows one to prove the
Painlevé property for all the Painlevé transcendences . Also , the Riemann -
Hilbert factorization setting made it possible to use the nonlinear steepest
descent ...
Sayfa 117
In its turn , this implies that , in the case of the second Painlevé equation ( 41 ) ,
the set S of monodromy data becomes a two - dimensional algebraic variety :
Sp2 = { s = ( 81 , 82 , 83 ) EC® : 81 – 82 + 33 + 818283 = 0 } . From Corollaries 2
and ...
In its turn , this implies that , in the case of the second Painlevé equation ( 41 ) ,
the set S of monodromy data becomes a two - dimensional algebraic variety :
Sp2 = { s = ( 81 , 82 , 83 ) EC® : 81 – 82 + 33 + 818283 = 0 } . From Corollaries 2
and ...
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İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL loSPACES | 23 |
Dedicated to M Sh Birman on the occasion of his 75th birthday | 285 |
ABSTRACT The nonexistence of isometric embeddings em line with p q is proved | 296 |
Telif Hakkı | |
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Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
analytic apply approximation assume asymptotic belongs BKN-equation block boundary bounded called closed coefficients collection compatible complete components condition Consequently consider constant construction contains continuous corresponding covering defined definition denote differential domain edge eigenvalues embedding English equal equation estimate example exists extension fact fibers field finite fixed formula function given graph harmonic identity implies inequality integral introduce invertible Lemma linear manifold Math Mathematical matrix monodromy Moreover norm obtain operator oriented pair particular periodic polynomial positive potential present problem proof properties Proposition prove rational relation Remark representation respect result satisfies selfadjoint separation singular smooth solution space spectral spectrum statement Subsection sufficiently Suppose surface symmetric Theorem theory transformation transl true unique values vector vertex vertices zero