Titlebook: Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis; IWOTA 2021, Chapman Daniel Alpay,Jussi Behrndt,Daniele

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Infinite Order Differential Operators with a Glimpse to Applications to Superoscillations,ential operators, and will present some recent results on the continuity of such operators. Finally, we will show how the idea of infinite order differential operators extends fruitfully to the hypercomplex setting.

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A Survey on the Recent Advances in the Spectral Theory on the ,-Spectrum,y of slice monogenic functions of a Clifford variable and of noncommuting matrix variables. Moreover, there is a very general way to define the .-functional calculus for Clifford operators and formulate a spectral theorem for Clifford operators based on the .-spectrum.

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Joseph A. Ball,Vladimir Bolotnikov,Sanne ter Horst

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Recent Developments in Operator Theory, Mathematical Physics and Complex AnalysisIWOTA 2021, Chapman

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Monotonicity of Certain Left and Right Riemann Sums,ns as well as calculations involving generalized binomial coefficients, that the left and right Riemann sums with respect to the uniform partition of [0, 1] of the family of functions of the form . are monotonically increasing relative to ., regardless of the value of . ∈ (0, 2). In so doing, we ans

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