TL;DR
This book provides a comprehensive introduction to functional analysis, combining theory and applications, including advanced topics like Fredholm theory, semigroup theory, and quantum mechanics, aimed at graduate students.
Contribution
It offers an extensive, accessible treatment of both foundational and advanced functional analysis topics, integrating applications in spectral theory and quantum mechanics.
Findings
Includes advanced topics not common in standard textbooks
Connects functional analysis with quantum mechanics applications
Provides a thorough pedagogical approach for graduate students
Abstract
This book is based on notes compiled over the many years I have been teaching the course "Applied Functional Analysis" in the first year of the Master programme at Delft University of Technology, for students with previous exposure to the essentials of Real Analysis and the theory of Lebesgue integration. It offers a comprehensive introduction to functional analysis, covering both the abstract theory and applications to spectral theory, boundary value problems, semigroup theory, and quantum mechanics. It starts with the basic results of the subject and progresses towards a treatment of several advanced topics not commonly found in functional analysis textbooks, including Fredholm theory, form methods, boundary value problems, semigroup theory, trace formulas and a mathematical treatment of states and observables in quantum mechanics.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.