Functional Analysis

Research output: Book/ReportBookScientificpeer-review


This comprehensive introduction to functional analysis covers both the abstract theory and applications to spectral theory, the theory of partial differential equations, 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. The book is accessible to graduate students with basic knowledge of topology, real and complex analysis, and measure theory. With carefully written out proofs, more than 300 problems, and appendices covering the prerequisites, this self-contained volume can be used as a text for various courses at the graduate level and as a reference text for researchers in the field.
Original languageEnglish
PublisherCambridge University Press
Number of pages712
ISBN (Electronic)9781009232487
Publication statusPublished - 2022

Publication series

NameCambridge Studies in Advanced Mathematics
PublisherCambridge University Press


  • Functional Analysis


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