Linear Systems, Signal Processing and Hypercomplex Analysis

1. Front Matter

   Pages i-viii

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2. Multiplicative Stieltjes Functions and Associated Pairs of Reproducing Kernel Hilbert Spaces

   • Joseph A. Ball, Vladimir Bolotnikov

   Pages 1-47

3. Quasi Boundary Triples, Self-adjoint Extensions, and Robin Laplacians on the Half-space

   • Jussi Behrndt, Peter Schlosser

   Pages 49-66

4. Graph Laplace and Markov Operators on a Measure Space

   • Sergey Bezuglyi, Palle E. T. Jorgensen

   Pages 67-138

5. Conditionally Free Probability

   • Marek Bożejko

   Pages 139-147

6. Boundary Values of Discrete Monogenic Functions over Bounded Domains in \( \mathbb{R}^3 \)

   • Paula Cerejeiras, Uwe Kähler, Anastasiia Legatiuk, Dmitrii Legatiuk

   Pages 149-165

7. Semicircular Elements Induced by Projections on Separable Hilbert Spaces

   • Ilwoo Cho, Palle E. T. Jorgensen

   Pages 167-209

8. On a Backward Shifting Problem for [α,∞)-non-negative Definite Sequences of Complex q × q Matrices

   • Bernd Fritzsche, Bernd Kirstein, Conrad Mädler

   Pages 211-238

9. Evolution of Nodes and their Application to Completely Integrable PDEs

   • Andrey Melnikov, Roman Shusterman

   Pages 239-250

10. Frobenius Determinants and Bessel Functions

    • Ahmed Sebbar, Oumar Wone

    Pages 251-287

11. Algebraic Residue Calculus Beyond the Complex Setting

    • Alain Yger

    Pages 289-316

This volume includes contributions originating from a conference held at Chapman University during November 14-19, 2017. It presents original research by experts in signal processing, linear systems, operator theory, complex and hypercomplex analysis and related topics.

• complex analysis
• functional analysis
• stochastic processes
• hypercomplex
• non commutative
• partial differential equations

• Schmid College of Science and Technology, Chapman University , Orange, USA

  Daniel Alpay, Mihaela B. Vajiac

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