Since its introduction by Friedhelm Waldhausen in the 1970s, the algebraic K-theory of spaces has been recognized as the main tool for studying parametrized phenomena in the theory of manifolds.
This book offers an overview of the research results presented by group members and guests of the Ghent Analysis & PDE Center during the weekly Ghent analysis and PDE Seminar in 2023–2024.
This book offers an overview of the research results presented by group members and guests of the Ghent Analysis & PDE Center during the weekly Ghent analysis and PDE Seminar in 2023–2024.
This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral theorem for compact, self-adjoint operators on separable Hilbert spaces.
This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral theorem for compact, self-adjoint operators on separable Hilbert spaces.
The present monograph is the second volume in the natural extension of the prior 2-volume work with the same title and by the same authors, which encompassed findings up until 2014.
The present monograph is the second volume in the natural extension of the prior 2-volume work with the same title and by the same authors, which encompassed findings up until 2014.
This volume presents contributions of modern developments in analysis, PDEs and geometric analysis by leading experts, as well as distinguished junior and senior researchers.
This volume presents contributions of modern developments in analysis, PDEs and geometric analysis by leading experts, as well as distinguished junior and senior researchers.
Functional analysis can be understood as a shift, within mathematical analysis, from the study of individual functions to the study of function spaces, their structures, and the mappings between them.
Functional analysis can be understood as a shift, within mathematical analysis, from the study of individual functions to the study of function spaces, their structures, and the mappings between them.
This book is primarily addressed to graduate students and researchers interested in exploring problems connected to mathematics, statistics, finance, insurance, climate change, and machine learning.
This book is primarily addressed to graduate students and researchers interested in exploring problems connected to mathematics, statistics, finance, insurance, climate change, and machine learning.
This book deals with various aspects of commutants and reducing subspaces of multiplication operators on the Bergman space, along with relevant von Neumann algebras generated by these operators, which have been the focus of considerable attention from the authors and other experts in recent years.
This book provides a rigorous introduction to Fourier analysis and the theory of distributions without presupposing an advanced background in functional analysis or measure-theoretic integration.
This book presents a scholarly English translation of Henri Lebesgue’s seminal 1909 paper, Sur les Intégrales Singulières, first published in the Annales de l’Université de Toulouse.
This book presents a scholarly English translation of Henri Lebesgue’s seminal 1909 paper, Sur les Intégrales Singulières, first published in the Annales de l’Université de Toulouse.
This book provides an introduction to measure theory and functional analysis suitable for a beginning graduate course, and is based on notes the author had developed over several years of teaching such a course.
This book provides an introduction to measure theory and functional analysis suitable for a beginning graduate course, and is based on notes the author had developed over several years of teaching such a course.
This book contains select chapters on topics related to nonlinear dynamics and functional analysis and their applications in quantum transport, carbon nanotubes, approximation theory, fixed point theory, quantum functional calculus, renewable natural resources, dynamic optimal control model and optimal control analysis.
This book contains select chapters on topics related to nonlinear dynamics and functional analysis and their applications in quantum transport, carbon nanotubes, approximation theory, fixed point theory, quantum functional calculus, renewable natural resources, dynamic optimal control model and optimal control analysis.
This proceedings book gathers papers presented at the First International Itinerant Congress on Applied Mathematics (IICAM 2025), held at the Faculty of Sciences and Techniques of Errachidia, Morocco, from October 23 to 25, 2025.
This proceedings book gathers papers presented at the First International Itinerant Congress on Applied Mathematics (IICAM 2025), held at the Faculty of Sciences and Techniques of Errachidia, Morocco, from October 23 to 25, 2025.
This book explores state-of-the-art developments in theoretical and applied fluid mechanics with a focus on stochastics and their role in mathematical analysis and numerical simulation of different types of flows.
This book explores state-of-the-art developments in theoretical and applied fluid mechanics with a focus on stochastics and their role in mathematical analysis and numerical simulation of different types of flows.
The current volume collects selected contributions from the ISAAC–ICMAM Conference of Analysis in Developing Countries 2024, organised jointly by the International Society for Analysis, its Applications and Computation (ISAAC) and the International Community of Mathematicians from Latin America (ICMAM Latin America).
The current volume collects selected contributions from the ISAAC–ICMAM Conference of Analysis in Developing Countries 2024, organised jointly by the International Society for Analysis, its Applications and Computation (ISAAC) and the International Community of Mathematicians from Latin America (ICMAM Latin America).
This book is about Ritt operators on Banach spaces, with important developments concerning their functional calculus, square functions, and dilation properties.
This book is about Ritt operators on Banach spaces, with important developments concerning their functional calculus, square functions, and dilation properties.
An investigation of finite Riemann surfaces from the point of view of functional analysis, that is, the study of the various Abelian differentials of the surface in their dependence on the surface itself.
This book provides the first coherent account of the area of analysis that involves the Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave packets, and related concepts.
This book contains an exposition of some of the main developments of the last twenty years in the following areas of harmonic analysis: singular integral and pseudo-differential operators, the theory of Hardy spaces, L\sup\ estimates involving oscillatory integrals and Fourier integral operators, relations of curvature to maximal inequalities, and connections with analysis on the Heisenberg group.
