Operator Theory, Pseudo-Differential Equations, and Mathematical Physics

Operator Theory, Pseudo-Differential Equations, and Mathematical Physics

by Yuri I. Karlovich

Book 228 of Operator Theory: Advances and Applications --

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About
This volume is a collection of papers devoted to the 70th birthday of Professor Vladimir Rabinovich. The opening article (by Stefan Samko) includes a short biography and the bibliography of Vladimir Rabinovich’s works, along with personal recollections. It is followed by twenty research and survey papers in various branches of analysis (pseudodifferential operators and partial differential equations, Toeplitz, Hankel, and convolution type operators, variable Lebesgue spaces, etc.) close to Professor Rabinovich’s research interests. Many of them are written by participants of the international workshop “Analysis, Operator Theory, and Mathematical Physics” (Ixtapa, Mexico, January 23–27, 2012), who have a long history of scientific collaboration with Rabinovich and whose contributions are partially based on the talks presented at that meeting. The volume will be of great interest to researchers and graduate students working in the fields of differential equations, operator theory, functional and harmonic analysis and mathematical physics.

Discussion questions for Operator Theory, Pseudo-Differential Equations, and Mathematical Physics

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  1. 1

    How does the biographical opening of the volume dedicated to Professor Vladimir Rabinovich shape our appreciation of the technical research papers that follow, and how does knowing the human story behind a life of science change the way we view academic collaboration?

  2. 2

    In what ways do the theoretical explorations of pseudodifferential operators and partial differential equations in this collection reflect the ongoing human desire to model and predict the complexities of the physical world?

  3. 3

    Reflecting on your own professional or personal journey, how have international collaborations and shared passions—much like the gathering in Ixtapa, Mexico—enriched your own understanding of your field or interests?

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