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The Tuple on the Reproducing Kernel Space with U-invariant Kernels on the Polydisc

Author: XingLiJun
Tutor: DuanYongJiang
School: Northeast Normal University
Course: Basic mathematics
Keywords: Taylor spectrum essential Taylor spectrum Koszul complex polydisc reproducingkernel Fredholm
CLC: O177
Type: Master's thesis
Year: 2011
Downloads: 6
Quote: 0
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Abstract


This paper will introduce the reproducing kernel space with u-invariant kernels on the polydisc, givesome properties of the m-tuple Mz = (M1, M2 Mm) defind on this space, then describe the Taylor spec-trum and essential Taylor spectrum. They have been introduced in references [4]and[6]. For convenience, inthis paper, we will give the definition and proposition of them in the second part.

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Functional Analysis
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