Ghent Analysis and PDE Seminar

Michael Ruzhansky is a senior full professor of mathematics at Ghent University in Belgium and a professor of mathematics at Queen Mary University of London in the United Kingdom.Karel Van Bockstal is a postdoctoral researcher at the Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University.

• Part I. Analysis.- Chapter 1. Boundedness of Toroidal Pseudo-Differential Operators on Hardy Spaces.- Chapter 2. Greedy Approximation and Universal Functions by Generalized Walsh Systems.- Chapter 3. Tables of Composition Properties of Fractional Integrals and Derivatives.- Chapter 4. Safarov Pseudo-Differential Calculus on Vector Bundles.- Chapter 5. On a Special Class of Geodesics.- Chapter 6. On Generalized Mittag-Leffler-Type Functions.- Chapter 7. Duren’s Lemma for Moduli of Continuity.- Chapter 8. Frames, Theory and Applications.- Chapter 9. Some Results Related to the 𝜓-Prabhakar Fractional Derivative and the Bivariate Mittag-Leffler-Type Function.- Chapter 10. On Van der Corput-Type Estimates for Mittag-Leffler Functions.- Chapter 11. On a Sharp Vector-Valued Garding Inequality for Pseudo-Differential Operators on Compact Lie Groups.- Chapter 12. Characterization of Higher Order Fractional Weighted Homogeneous Spaces.- Chapter 13. Weak and Strong Type Estimates for Generalized Littlewood-Paley Operators.- Chapter 14. Harmonic Analysis on Twisted Crossed Products.- Part II. Partial Differential Equations.- Chapter 15. Multiplicity of solutions for a singular problem involving the 𝑝-sub-Laplacian on Stratified Lie Groups.- Chapter 16. On 𝑞2-analogue of the heat equation with spatial dependent variable coefficient.- Chapter 17. Nonlocal and Inverse Problems for a Generalized Hyperbolic-Type Equation.- Chapter 18. Analysis of Forward and Inverse Problems for the Fractional Telegraph Equation.- Chapter 19. Space-Dependent Source Identification Problem for the Subdiffusion Equation.- Chapter 20. Symbolic Differential Algorithms for the Solution of Hyperbolic Perturbation Problems by Asymptotic Formulas and Uniform Difference Schemes.- Chapter 21. Existence and Uniqueness of a Solution to the Cauchy Problem for an Equation with Singular Coefficients.- Part III. Mathematical Modelling.- Chapter 22. Unification of Newmark-Type Schemes for Fractional Oscillators.- Chapter 23. Point-Level Attribution for Interpretable Parkinson’s Diagnosis.