Spectral Geometry of Partial Differential Operators

Michael Ruzhansky is a Senior Full Professor of Mathematics at Ghent University, Belgium, and a Professor of Mathematics at the Queen Mary University of London, United Kindgdom. He is currently also an Honorary Professor of Pure Mathematics at Imperial College London, where he has been working in the period 2000-2018. His research is devoted to different topics in the analysis of partial differential equations, harmonic and non-harmonic analysis, spectral theory, microlocal analysis, as well as the operator theory and functional inequalities on groups. His research was recognised by the ISAAC Award 2007, Daiwa Adrian Prize 2010, as well as by the Ferran Sunyer I Balaguer Prizes in 2014 and 2018. Makhmud Sadybekov is a Kazakhstani mathematician who graduated from the Kazakh State University (Almaty, Kazakhstan) in 1985 and received his doctorate in physical-mathematical sciences in 1993. He is a specialist in the field of Ordinary Differential Equations, Partial Differential Equations, Equations of Mathematical Physics, Functional Analysis, Operators Theory. Currently he is Director General at the Institute of Mathematics and Mathematical Modeling in Almaty, Kazakhstan. Durvudkhan Suragan an associate professor at Nazarbayev University. He won the Ferran Sunyer i Balaguer Prize in 2018. He has previously worked in spectral geometry, and in the theory of subelliptic inequalities at Imperial College London as a research associate and as a leading researcher in the Institute of Mathematics and Mathematical Modeling.

1. Function spaces. 2. Foundations of linear operator theory. 3. Elements of the spectral theory of differential operators. 4. Symmetric decreasing rearrangements and applications. 5. Inequalities of spectral geometry.