Inner functions and related spaces of pseudocontinuable functions. / Александров, Алексей Борисович.
In: Journal of Soviet Mathematics, Vol. 63, No. 2, 01.1993, p. 115-129.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Inner functions and related spaces of pseudocontinuable functions
AU - Александров, Алексей Борисович
PY - 1993/1
Y1 - 1993/1
N2 - Let θ be an inner function, let α ∈ C, |α|=1. Then the harmonic function ℜ[(α+θ)]/(α-θ)] is the Poisson integral of a singular measure σα D. N. Clark's known theorem enables us to identify in a natural manner the space H2 ⊖ θH2 with the space L2(σα).
AB - Let θ be an inner function, let α ∈ C, |α|=1. Then the harmonic function ℜ[(α+θ)]/(α-θ)] is the Poisson integral of a singular measure σα D. N. Clark's known theorem enables us to identify in a natural manner the space H2 ⊖ θH2 with the space L2(σα).
UR - http://www.scopus.com/inward/record.url?scp=34250077056&partnerID=8YFLogxK
U2 - 10.1007/BF01099304
DO - 10.1007/BF01099304
M3 - Article
AN - SCOPUS:34250077056
VL - 63
SP - 115
EP - 129
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 2
ER -
ID: 87313283