Misra, Gadadhar (2010) THE BERGMAN KERNEL FUNCTION. In: Indian Journal of Pure and Applied Mathematics, 41 (1, Sp.). pp. 189-197.
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In this note, we point out that a large family of n x n matrix valued kernel functions defined on the unit disc D subset of C, which were constructed recently in , behave like the familiar Bergman kernel function on ID in several different ways. We show that a number of questions involving the multiplication operator on the corresponding Hilbert space of holomorphic functions on D can be answered using this likeness.
|Item Type:||Journal Article|
|Additional Information:||Copyright of this article belongs to Indian National Science Academy.|
|Keywords:||Berezin-Wallach set; the bi-holomorphic automorphism group; discrete series representation; kernel function; multiplication operator; homogeneous operator; subnormal operator|
|Department/Centre:||Division of Physical & Mathematical Sciences > Mathematics|
|Date Deposited:||29 Mar 2010 09:47|
|Last Modified:||19 Sep 2010 05:58|
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