Functional analysis and transforms

The modern theory of functional spaces and operators, built on powerful analytical methods, continues to evolve in the search for more precise, universal, and effective tools.

This book highlights the formation of holographic images using modulated apertures across eleven comprehensive chapters.

The present volume collects extended abstracts of lectures and talks presented at the Summer School and Conference "e;Analysis, PDEs and Applications"e; held 24 June - 6 July 2024 at Yerevan State University, Armenia.

This book highlights the formation of holographic images using modulated apertures across eleven comprehensive chapters.

The present volume collects extended abstracts of lectures and talks presented at the Summer School and Conference "e;Analysis, PDEs and Applications"e; held 24 June - 6 July 2024 at Yerevan State University, Armenia.

The modern theory of functional spaces and operators, built on powerful analytical methods, continues to evolve in the search for more precise, universal, and effective tools.

This book offers a comprehensive exploration of the Banach contraction principle and its many facets.

This book offers a comprehensive exploration of the Banach contraction principle and its many facets.

Convex Analysis in Polynomial Spaces with Applications is intended to serve a broad audience of undergraduate and graduate students, junior and senior researchers, and as a general self-study guide for anyone who wishes to get acquainted with geometry of Banach spaces of polynomials with applications.

A Concise Introduction to Functional Analysis is designed to serve a one-semester introductory graduate (or advanced undergraduate) course in functional analysis.

A Concise Introduction to Functional Analysis is designed to serve a one-semester introductory graduate (or advanced undergraduate) course in functional analysis.

Convex Analysis in Polynomial Spaces with Applications is intended to serve a broad audience of undergraduate and graduate students, junior and senior researchers, and as a general self-study guide for anyone who wishes to get acquainted with geometry of Banach spaces of polynomials with applications.

This book presents a concise introduction to real and complex number systems and metric space theory.

This book presents a concise introduction to real and complex number systems and metric space theory.

This book is a collection of recent developments in spectral and approximation theory.

This new edition presents an updated and expanded exploration of boundary value problems for fractional dynamic equations on arbitrary time scales, including Caputo fractional dynamic equations, impulsive Caputo fractional dynamic equations, and impulsive Riemann-Liouville fractional dynamic equations.

This book is a collection of recent developments in spectral and approximation theory.

This new edition presents an updated and expanded exploration of boundary value problems for fractional dynamic equations on arbitrary time scales, including Caputo fractional dynamic equations, impulsive Caputo fractional dynamic equations, and impulsive Riemann-Liouville fractional dynamic equations.

The book presents a deterministic homogenization theory intended for the mathematical analysis of non-stochastic multiscale problems, both within and beyond the periodic setting.

This monograph examines a variety of iterative methods in Banach spaces with a focus on those obtained from the Newton method.

This monograph examines a variety of iterative methods in Banach spaces with a focus on those obtained from the Newton method.

Explore the fascinating intersection of mathematics and combustion theory in this comprehensive monograph, inspired by the pioneering work of N.

Explore the fascinating intersection of mathematics and combustion theory in this comprehensive monograph, inspired by the pioneering work of N.

This textbook is a complete, self-sufficient, self-study/tutorial-type source of mathematical problems.

The book presents a deterministic homogenization theory intended for the mathematical analysis of non-stochastic multiscale problems, both within and beyond the periodic setting.

This book delves into the intricate world of fixed point theory, focusing on the Krasnoselskii-Mann method to tackle common fixed point problems within a finite family of quasi-nonexpansive mappings in hyperbolic metric spaces.

Inverse problems lie at the core of scientific discovery, enabling us to determine causes from observed consequences.

This book delves into the intricate world of fixed point theory, focusing on the Krasnoselskii-Mann method to tackle common fixed point problems within a finite family of quasi-nonexpansive mappings in hyperbolic metric spaces.

This book explores the topological properties of connected and path-connected solution sets for nonlinear equations in Banach spaces, focusing on the distinction between these concepts.

This book explores the topological properties of connected and path-connected solution sets for nonlinear equations in Banach spaces, focusing on the distinction between these concepts.

This book presents the new fascinating area of continuous inequalities.

This book presents the new fascinating area of continuous inequalities.

This book presents the monodromy group, underlining the unifying role it plays in a variety of theories and mathematical areas.

This textbook is based on lectures for a third-year course on mathematical methods in physics taught in the Department of Physics at the University of Oslo.

This textbook is based on lectures for a third-year course on mathematical methods in physics taught in the Department of Physics at the University of Oslo.

This book provides the reader with a broad introduction to the geometric methodology in complex analysis.

This book provides the reader with a broad introduction to the geometric methodology in complex analysis.

A large mathematical community throughout the world actively works in functional analysis and uses profound techniques from topology.

A large mathematical community throughout the world actively works in functional analysis and uses profound techniques from topology.

This book provides readers with an engaging explanation of the Aleksandrov problem, giving readers an overview of the process of solving Aleksandrov-Rassias problems, which are still actively studied by many mathematicians, and familiarizing readers with the details of the proof process.

The current volume gives an update on recent developments in the theory of pseudo-differential operators and related topics.

The current volume gives an update on recent developments in the theory of pseudo-differential operators and related topics.

This book presents the interplay between topological Markov shifts and Cuntz–Krieger algebras by providing notations, techniques, and ideas in detail.

This book presents the interplay between topological Markov shifts and Cuntz–Krieger algebras by providing notations, techniques, and ideas in detail.

The purpose of the present book is to develop the counterparts of Banach and Hilbert spaces in the setting of slice hyperholomorphic functions.

This book is about function spaces aspects of polyanalytic functions, a topic that has gained a lot of attention in the past decades.

The goal of this book is to investigate the behavior of weak solutions to the elliptic interface problem in a neighborhood of boundary singularities: angular and conic points or edges.

The goal of this book is to investigate the behavior of weak solutions to the elliptic interface problem in a neighborhood of boundary singularities: angular and conic points or edges.

The purpose of the present book is to develop the counterparts of Banach and Hilbert spaces in the setting of slice hyperholomorphic functions.

This book provides an introduction to the theory of KMS weights and KMS states, which play an important role in mathematical physics and other applications of operator algebras.