ANALYTIC TRIDIAGONAL REPRODUCING KERNELS
2001 ◽
Vol 64
(3)
◽
pp. 722-738
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Keyword(s):
The paper characterizes the reproducing kernel Hilbert spaces with orthonormal bases of the form {(an,0+an,1z+…+an,JzJ)zn, n [ges ] 0}. The primary focus is on the tridiagonal case where J = 1, and on how it compares with the diagonal case where J = 0. The question of when multiplication by z is a bounded operator is investigated, and aspects of this operator are discussed. In the diagonal case, Mz is a weighted unilateral shift. It is shown that in the tridiagonal case, this need not be so, and an example is given in which the commutant of Mz on a tridiagonal space is strikingly different from that on any diagonal space.
2017 ◽
Vol 69
(1)
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pp. 54-106
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2013 ◽
Vol 11
(02)
◽
pp. 1350014
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2021 ◽
Vol 500
(1)
◽
pp. 125107
2002 ◽
Vol 35
(1)
◽
pp. 103-108
◽
2013 ◽
Vol 11
(05)
◽
pp. 1350020
◽