Physics and Mathematical Physics

The main focus of the book is on the mathematical framework that underlies linear systems arising in physics, engineering and applied mathematics. Roughly speaking, we are making a generalization from the theory of linear transformation on finite dimensional vector space to the theory of linear operators on infinite dimensional vector spaces as they occur in the context of homogeneous and inhomogeneous boundary value and initial value problems.

This book deals with the connection between entropy, probability, and fractional dynamics as they appeared, for example, in solar neutrino astrophysics. This analysis revealed a non-Gaussian signal with harmonic content.