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On the zeros of Hilbert spaces of analytic functions

Published online by Cambridge University Press:  09 April 2009

S. H. Kon
S. H. Kon
Affiliation:
Department of Mathematics, University of Malaya, Kuala Lumpur 22–11, Malaysia.
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Abstract

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An attempt is made to characterise the zeros of some Hilbert spaces of analytic functions means of their kernel functions. Results on the zeros of functions in DΦ and their uniqueness s are included, in particular we give an affirmative answer to a question of Shapiro and Shield

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 22 , Issue 4 , December 1976 , pp. 442 - 445
Copyright
Copyright © Australian Mathematical Society 1976

References

Caughran, J. G. (1969), ‘Two results concerning the zeros of functions with finite Dirichlet integrals’, Canad. J. Math. 21, 312–316.Google Scholar
Shapiro, H. S. and Shields, A. L. (1962), ‘On the zeros of functions with finite Dirichlet integral and some related function spaces’, Math. Z. 80, 217–229.CrossRefGoogle Scholar