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79 sonuçtan 1-3 arası sonuçlar
Sayfa 37
Let again L and G be defined by relations ( 1 . 1 ) , ( 1 . 3 ) , and let o ( x ) be a
monotone increasing continuous ( 2m ) x ( 2m ) - matrixvalued function on the
interval ( - 1 , 1 ] . Let us write down the following system of integral equations ( 5 .
Let again L and G be defined by relations ( 1 . 1 ) , ( 1 . 3 ) , and let o ( x ) be a
monotone increasing continuous ( 2m ) x ( 2m ) - matrixvalued function on the
interval ( - 1 , 1 ] . Let us write down the following system of integral equations ( 5 .
Sayfa 66
The de Branges matrix - function defined by ( 5 . 12 ) is the characteristic function
of the operator Aj defined by ( 5 . 15 ) – ( 5 . 17 ) . Proof . As is known ( 14 ) , the
characteristic functions of the operators 11 and 12 are equal to wi ( z ) = exp i ( 12
...
The de Branges matrix - function defined by ( 5 . 12 ) is the characteristic function
of the operator Aj defined by ( 5 . 15 ) – ( 5 . 17 ) . Proof . As is known ( 14 ) , the
characteristic functions of the operators 11 and 12 are equal to wi ( z ) = exp i ( 12
...
Sayfa 131
Definition 3 . 2 . A set U subject to Condition 3 . 1 is called admissible if there
exists a bounded linear operator T = T ( U ) : H ' ( W ; 1 , 2U ) H ( W ) such that for
the function Y = Tv , where ve H ' ( W ; t , au ) , we have ( 3 . 4 ) Y ( U ) ( v – VY ) =
0 .
Definition 3 . 2 . A set U subject to Condition 3 . 1 is called admissible if there
exists a bounded linear operator T = T ( U ) : H ' ( W ; 1 , 2U ) H ( W ) such that for
the function Y = Tv , where ve H ' ( W ; t , au ) , we have ( 3 . 4 ) Y ( U ) ( v – VY ) =
0 .
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İçindekiler
A N Andrianov Factorizations of integral representations of binary | 71 |
Bizhanova and V A Solonnikov Solvability of an initialboundary | 97 |
Birman and M Solomyak On the main singularities of the electric | 125 |
Telif Hakkı | |
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according action algebra apply arbitrary assume assumptions asymptotic automorphism Banach space belongs boundary bounded called classical Clearly closed compact complete condition consider consists constant construct contains continuous Corollary corresponding curve defined definition denote depend derive determined direct domain element English transl equal equation equivalent estimate example exists extension fact field finite fixed formula function give given graph Hecke Hence holds identity implies inequality integral introduce isomorphic Lemma Lie algebra limit linear Math Mathematical matrix means measure method Moreover neighborhood obtain operator polynomial positive problem Proof properties Proposition prove relation Remark representation representatives respect Riemann ring satisfying sequence smooth solution space statement subgroup sufficiently surface Theorem theory transform tree unique values vector