All Research Papers Published In Complex Analysis And Operator Theory

In this paper, we extend the discrete octonionic analysis by presenting a Weyl calculus-based approach to bounded domains in R8. In particular, we explicitly prove the discrete Stokes formula for a bounded cuboid, and then we generalise this result to arbitrary bounded domains in interior and exterior settings by the help of characteristic functions. After that, discrete interior and exterior Borel-Pompeiu and Cauchy formulae are introduced. Finally, we recall the construction of discrete octonionic Hardy spaces for bounded domains. Moreover, we explicitly explain where the non-associativity of octonionic multiplication is essential and where it is not. Consequently, the results presented in this paper provide tools to address boundary value problems in bounded domains.

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Correction to: Almansi-Type Decomposition for Slice Regular Functions of Several Quaternionic Variables

Cesàro-like Operator on Bergman–Morrey Spaces

Further Berezin Number and Berezin Norm Inequalities for Sums and Products of Operators

A Note of the Interpolating Sequences for $${\mathcal {Q}}_K\bigcap H^\infty $$

Necessary Conditions of $$\Gamma _n$$-Isometry Dilation and the Dilation of a Certain Family of $$\Gamma _3$$-Contractions

The Connes–Chamseddine Cycle and the Noncommutative Integral

Application of the Weyl Calculus Perspective on Discrete Octonionic Analysis in Bounded Domains

The Local Operator Moment Problem on $${\mathbb {R}}$$

Carleson Measures for Weighted Harmonic Mixed-Norm Spaces and Toeplitz Operators

The Cowen-Douglas Theory for Operator Tuples and Similarity

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