A foundational monograph introducing Mikusiński’s operational calculus approach to differential and integral equations using algebraic methods.
This classic work by John von Neumann develops the theory of functional operators with a focus on measures and integrals. It lays foundational concepts in functional analysis and measure theory, making it essential for advanced studies in mathematics and mathematical physics.
This volume contains lectures from the NATO Advanced Study Institute focusing on harmonic analysis and representations of semisimple Lie groups. It presents advanced topics in representation theory and its connections with mathematical physics, intended for researchers and graduate students in mathematics.
This volume introduces the fundamentals of constructive function theory with a focus on uniform approximation. It develops key concepts and methods for approximating functions and provides rigorous mathematical treatment suitable for advanced students and researchers in analysis.
This book provides a comprehensive introduction to the theory of functions of a complex variable. It covers analytic functions, complex integration, series expansions, and conformal mappings. The text is widely used by undergraduate and postgraduate students in mathematics.
This book provides a comprehensive treatment of dimension theory, a fundamental area in topology. It discusses various notions of dimension, including covering and inductive dimensions, and explores their applications in modern mathematical analysis and topology. The text is intended for advanced students and researchers in mathematics.
This book provides a detailed study of the Haar integral, a fundamental concept in abstract harmonic analysis. It develops the theory of invariant measures on topological groups and explores applications in functional analysis and modern mathematics. It is intended for advanced students and researchers.
This volume provides a comprehensive treatment of real analysis, forming Part A of a broader work on real and functional analysis. It covers fundamental concepts such as measure theory, integration, and the structure of real-valued functions, serving as a solid foundation for advanced studies in analysis and related fields.