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Original Articles

Zeros of entire functions and characteristic determinants

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Pages 53-63 | Received 05 Apr 1989, Published online: 29 May 2007
 

Abstract

We study certain classes of entire functions which arise as characterstics determinants of trace-class operators on a Hilber space. In particular, we show that the property of being as finitd oinear combination of commutatiors of Hilbert Schmidt operators can be characterized by a simple growth condtion on the charact.

1Supported by NSF-grant DMS-8601401.

1Supported by NSF-grant DMS-8601401.

Notes

1Supported by NSF-grant DMS-8601401.

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