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On the product formula for Toeplitz and related operators

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arxiv 2205.12345 v1 pith:47F4MEBU submitted 2022-05-24 math.FA

Jani A. Virtanen This is my paper · ORCID
classification math.FA
keywords toeplitzoperatorsproductapplicationsberezin-toeplitzboundednesscontextformula
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In this note known formulas for the product of Toeplitz operators are revisited in the context of their applications to the study of Fredholmness, boundedness of Toeplitz products, and the Berezin-Toeplitz quantization. A few open problems are also mentioned.

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