This classic of pure mathematics offers a rigorous investigation of Hardy spaces and the invariant subspace problem. Its highly readable treatment of complex functions, harmonic analysis, and functional analysis is suitable for advanced undergraduates and graduate students. The text features 100 challenging exercises. 1962 edition. Reprint of the Dover, 1988 edition.
Applied Functional Analysis by D.H. Griffel This introductory text examines applications of functional analysis to mechanics, fluid mechanics, diffusive growth, and approximation. Covers distribution theory, Banach spaces, Hilbert space, spectral theory, Frechet calculus, Sobolev spaces, more. 1985 edition.
Functional Analysis by Frigyes Riesz, Béla Sz.-Nagy Classic exposition of modern theories of differentiation and integration and principal problems and methods of handling integral equations and linear functionals and transformations. 1955 edition.
