As it unfortunately happens in mathematics, some terms carry different meanings depending on the context in which they are used. The term “symbol” is not exceptional in this sense. It will be used systematically in the book and will be supplied with different adjectives clarifying its different meanings: Fredholm symbol, defining symbol, Wick symbol, anti-Wick symbol, etc. That is why we would like to comment first on its meanings and usage.
KeywordsCompact Operator Toeplitz Operator Bergman Space Local Algebra Fredholm Property
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