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Ghent Analysis and PDE Seminar: Extended Abstracts 2023/2024 [Kõva köide]

  • Formaat: Hardback, 198 pages, kõrgus x laius: 235x155 mm, 5 Illustrations, color; 1 Illustrations, black and white
  • Sari: Trends in Mathematics
  • Ilmumisaeg: 07-Jul-2026
  • Kirjastus: Birkhauser
  • ISBN-10: 3032195314
  • ISBN-13: 9783032195319
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  • Formaat: Hardback, 198 pages, kõrgus x laius: 235x155 mm, 5 Illustrations, color; 1 Illustrations, black and white
  • Sari: Trends in Mathematics
  • Ilmumisaeg: 07-Jul-2026
  • Kirjastus: Birkhauser
  • ISBN-10: 3032195314
  • ISBN-13: 9783032195319
This book offers an overview of the research results presented by group members and guests of the Ghent Analysis & PDE Center during the weekly Ghent analysis and PDE Seminar in 20232024. It is the second book in the series of books dedicated to the seminar. The seminar is an informal event of the Analysis & PDE Center and associated researchers, where everyone can present their work or relevant literature for about 1520 minutes. The aim is to exchange ideas and foster effective learning and collaboration.   In this book, group members and guests summarise their results presented during the seminar and provide outlooks for future work. In this way, the book also provides an overview of the recent developments at the Ghent Analysis & PDE Center. The main topics are functional analysis, Fourier analysis, noncommutative analysis, geometric analysis, partial differential equations of different types, harmonic analysis, functional inequalities, pseudo-differential operators, fractional derivatives, special functions, microlocal analysis, inverse problems and imaging. The target audience of this book is any researcher working in the above fields. 
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. Durens 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 Parkinsons Diagnosis.
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.