St. Petersburg Mathematical Journal, 11. cilt,1-542. sayfalarAmerican Mathematical Society, 2000 |
Kitabın içinden
87 sonuçtan 1-3 arası sonuçlar
Sayfa 6
... Definition 1.2 . The reduced module of the triangle D = D ( P1 , P2 , P3 ) at the point Pi with respect to the uniformizing parameter z is defined as the limit ( 1.3 ) m2 ( D , P1 | P2 , P3 ) = lim { mod ( D [ ɛ ] ) + ( 1 / μ ) log ε } ...
... Definition 1.2 . The reduced module of the triangle D = D ( P1 , P2 , P3 ) at the point Pi with respect to the uniformizing parameter z is defined as the limit ( 1.3 ) m2 ( D , P1 | P2 , P3 ) = lim { mod ( D [ ɛ ] ) + ( 1 / μ ) log ε } ...
Sayfa 150
... defined in Subsection 3.5 . We do not define the homomorphism P here because it is not used in the present paper . ( With obvious modifications , the definition repeats the definition of the homomorphism p ; in Subsec- tion 4.5 ...
... defined in Subsection 3.5 . We do not define the homomorphism P here because it is not used in the present paper . ( With obvious modifications , the definition repeats the definition of the homomorphism p ; in Subsec- tion 4.5 ...
Sayfa 398
... definition of an integral operator in the space H = L2 ( A ; N ) of vector - valued functions u ( A ) defined on an interval ACR and taking values in an auxiliary Hilbert space N. Suppose that a set DCN is dense in N ; we introduce the ...
... definition of an integral operator in the space H = L2 ( A ; N ) of vector - valued functions u ( A ) defined on an interval ACR and taking values in an auxiliary Hilbert space N. Suppose that a set DCN is dense in N ; we introduce the ...
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algebra apply associated assume assumptions boundary bounded closed complete condition Consequently consider constant construct contains continuous Corollary corresponding decomposition defined definition denote depend determined differential domain dx dt element embedding English transl equal equation equivalent estimate exists extension extremal fact field fixed formula function given homomorphism homotopy ideal identity implies inequality integral introduce isomorphism journals Lemma mapping Math Mathematical means metric module Moreover morphism norm obtain operator orthogonal parameters particular polynomials positive present problem projection proof properties Proposition proved quadratic reduced relation remains Remark representation respectively satisfying sequence side similar solution space statement subalgebra Subsection sufficiently Suppose Theorem theory unique variables vector weight whence