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9 - Weighted Hardy–Fock Spaces Built from a Regular Formal Power Series

Published online by Cambridge University Press:  09 December 2021

Joseph A. Ball
Affiliation:
Virginia Tech
Vladimir Bolotnikov
Affiliation:
College of William and Mary, Virginia
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Summary

Chapter 9 is also concerned with weighted Hardy–Fock spaces but with the associated kernel function for the weighted Hardy–Fock space having a certain prescribed form. The resulting weight sequence satisfies the admissibility requirements imposed in earlier chapters only in special cases. Consequently, the results (and associated formulas) parallel the results from earlier chapters, but with the associated formulas having a more complicated form involving explicitly the parameters appearing in the prescribed kernel function. The resulting operator-model theory generalizes earlier such results appearing in the literature for the commutative case.

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Publisher: Cambridge University Press
Print publication year: 2021

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