Functional Analysis for the Applied Sciences

Gheorghe Moroşanu is a professor of mathematics who currently holds affiliations with the Central European University, Babeş-Bolyai University, and the Romanian Academy of Sciences. Previously, he held positions at the University of Stuttgart and the Alexandru Ioan Cuza University (his Alma Mater). Professor Moroşanu’s main research interests include differential equations, calculus of variations, fluid mechanics, singular perturbation theory, and various topics in applied mathematics. He is the author or co-author of a great number of research articles and fifteen books (monographs and textbooks).  In 1983 he was awarded the Gheorghe Lazar Prize of the Romanian Academy in recognition of his outstanding contributions to the theory of hyperbolic partial differential equations. Additionally, Gheorghe Moroşanu holds honorary doctorates of the University of Craiova and Ovidius University, Constanta. Recently, he has received the title of Professor Honoris Causa from the Babeş-Bolyai University.

• 1. Introduction.- 2. Metric Spaces.- 3. The Lebesgue Integral and Lp Spaces.- 4. Continuous Linear Operators and Functionals.- 5.  Distributions, Sobolev Spaces.- 6. Hilbert Spaces.- 7. Adjoint, Symmetric and Self-adjoint Linear Operators.- 8. Eigenvalues and Eigenvectors.-  9. Semigroups of Linear Operators.- 10. Solving Linear Evolution Equations by the Fourier Method.- 11. Integral Equations.- 12. Answers to Exercises.- Bibliography.

“‘The book is addressed to graduate students and researchers in applied mathematics and neighboring fields of science’. … the book gives a comprehensive, well-organized and readable introduction to functional analysis with interesting applications in various neighboring fields, always providing full proofs and many valuable exercises.” (Wolfgang Lusky, Mathematical Reviews, March, 2021)