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40 sonuçtan 1-3 arası sonuçlar
Sayfa 252
... v ) Hu * v takes 12 ( Z ) ~ 12 . ( Z ) into the predual of Mw : = { W € 12 ( Z ) n 12 .
( Z ) | W * 12 ( Z ) C12 ( Z ) } , and , if we set ep = ( Op , n ) nez for p e Z , the map
U HŪ : = Ueo is an isomorphism from the commutant of the bilateral shift onto Mw
...
... v ) Hu * v takes 12 ( Z ) ~ 12 . ( Z ) into the predual of Mw : = { W € 12 ( Z ) n 12 .
( Z ) | W * 12 ( Z ) C12 ( Z ) } , and , if we set ep = ( Op , n ) nez for p e Z , the map
U HŪ : = Ueo is an isomorphism from the commutant of the bilateral shift onto Mw
...
Sayfa 318
The transformation u H ull ) takes ( 0 ) n ( O ) onto ? ( 12 ) n Č ( D ) . Changing the
variables z = $ ( x ) in ( 1 . 24 ) and taking ( 1 . 1 ) into account , we see that the
following condition is fulfilled . ( iii ' ) For any 0 < € < 1 we have ( 2 . 21 Jeg lure ) ...
The transformation u H ull ) takes ( 0 ) n ( O ) onto ? ( 12 ) n Č ( D ) . Changing the
variables z = $ ( x ) in ( 1 . 24 ) and taking ( 1 . 1 ) into account , we see that the
following condition is fulfilled . ( iii ' ) For any 0 < € < 1 we have ( 2 . 21 Jeg lure ) ...
Sayfa 332
Hence , the mapping F - Foy - l takes H1 ( Ŝ ) onto H ( II ) . If FE H ( S ) , then the
ra - periodic extension F of F belongs to Hl . c ( R2 ) . By the properties of V , the
function Foy - 1 is the Yu - periodic extension of Foy - 1 . We have already seen ...
Hence , the mapping F - Foy - l takes H1 ( Ŝ ) onto H ( II ) . If FE H ( S ) , then the
ra - periodic extension F of F belongs to Hl . c ( R2 ) . By the properties of V , the
function Foy - 1 is the Yu - periodic extension of Foy - 1 . We have already seen ...
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algebraic analytic apply assume basis boundary bounded called chain homotopy closed coefficients complex computation condition connection Consequently consider constant construction contains continuous convex corresponding defined definition deformation denote determined differential domain element equal equation equivalence estimate example exists extension fact field finite fixed formula function given identity implies inequality integral intersection introduce invariant inverse isomorphism Lemma linear Math Mathematical matrix measure metric Moreover natural normal Observe obtain Obviously operator orientation particular periodic positive present problem projective Proof properties Proposition prove regular relation Remark respectively result ring satisfies scheme sequence singular smooth solutions space standard statement Subsection suffices Suppose takes Theorem theory transformation true twists unique vector weight zero