Functional analysis and transforms

This book presents the evolution of uniform approximations of continuous functions.

This book is addressed to mathematics and physics students who want to develop an interdisciplinary view of mathematics, from the age of Riemann, Poincare and Darboux to basic tools of modern mathematics.

Presenting a selection of topics in the area of nonlocal and nonlinear diffusions, this book places a particular emphasis on new emerging subjects such as nonlocal operators in stationary and evolutionary problems and their applications, swarming models and applications to biology and mathematical physics, and nonlocal variational problems.

This book collects the abstracts of  the mini-courses and lectures given during the Intensive Research Program "e;Spaces of Analytic Functions: Approximation, Interpolation, Sampling"e; which was held at the Centre de Recerca Matematica (Barcelona) in October-December, 2019.

This book contains the contributions resulting from the 6th Italian-Japanese workshop on Geometric Properties for Parabolic and Elliptic PDEs, which was held in Cortona (Italy) during the week of May 20-24, 2019.

New applications, research, and fundamental theories in nonlinear analysis are presented in this book.

This book presents the basic concepts of functional analysis, wavelet analysis and thresholding.

This volume, whose contributors include leading researchers in their field, covers a wide range of topics surrounding Integrable Systems, from theoretical developments to applications.

Capturing the state of the art of the interplay between positivity, noncommutative analysis, and related areas including partial differential equations, harmonic analysis, and operator theory, this volume was initiated on the occasion of the Delft conference in honour of Ben de Pagter's 65th birthday.

This first year graduate text is a comprehensive resource in real analysis based on a modern treatment of measure and integration.

This book provides a rigorous introduction to the techniques and results of real analysis, metric spaces and multivariate differentiation, suitable for undergraduate courses.

Applied Time Series Analysis and Innovative Computing contains the applied time series analysis and innovative computing paradigms, with frontier application studies for the time series problems based on the recent works at the Oxford University Computing Laboratory, University of Oxford, the University of Hong Kong, and the Chinese University of Hong Kong.

This monograph presents an introduction to Harmonic Balance for nonlinear vibration problems, covering the theoretical basis, its application to mechanical systems, and its computational implementation.

This book contains contributions from the participants of the research group hosted by the ZiF - Center for Interdisciplinary Research at the University of Bielefeld during the period 2013-2017 as well as from the conclusive conference organized at Bielefeld in December 2017.

This self-contained textbook discusses all major topics in functional analysis.

The book discusses essential topics in industrial and applied mathematics such as image processing with a special focus on medical imaging, biometrics and tomography.

This textbook acts as a pathway to higher mathematics by seeking and illuminating the connections between graph theory and diverse fields of mathematics, such as calculus on manifolds, group theory, algebraic curves, Fourier analysis, cryptography and other areas of combinatorics.

The Proceedings volume contains 16 contributions to the IMPA conference "e;New Trends in Parameter Identification for Mathematical Models"e;, Rio de Janeiro, Oct 30 - Nov 3, 2017, integrating the "e;Chemnitz Symposium on Inverse Problems on Tour"e;.

Functional analysis is an important branch of mathematical analysis which deals with the transformations of functions and their algebraic and topological properties.

Dedicated to Tosio Kato's 100th birthday, this book contains research and survey papers on a broad spectrum of methods, theories, and problems in mathematics and mathematical physics.

This volume presents the proceedings of the meeting New Trends in One-Dimensional Dynamics, which celebrated the 70th birthday of Welington de Melo and was held at the IMPA, Rio de Janeiro, in November 2016.

The aim of this book is to provide basic knowledge of the inverse problems arising in various areas in mathematics, physics, engineering, and medical science.

Presently no other book deals with the stability problem of functional equations in Banach algebras, inner product spaces and amenable groups.

The chapters in this volume highlight the state-of-the-art of compressed sensing and are based on talks given at the third international MATHEON conference on the same topic, held from December 4-8, 2017 at the Technical University in Berlin.

This monograph provides an accessible introduction to the regional analysis of fractional diffusion processes.

This monograph develops an innovative approach that utilizes the Birman-Schwinger principle from quantum mechanics to investigate stability properties of steady state solutions in galactic dynamics.

This book presents the proceedings of the international conference Particle Systems and Partial Differential Equations V, which was held at the University of Minho, Braga, Portugal, from the 28th to 30th November 2016.

This book establishes the foundations of the theory of bounded and unbounded weighted composition operators in L2-spaces.

This self-contained monograph presents an overview of fuzzy operator theory in mathematical analysis.

This book addresses fixed point theory, a fascinating and far-reaching field with applications in several areas of mathematics.

This proceedings volume gathers selected, peer-reviewed papers from the "e;Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis VIII"e; (OTHA 2018) conference, which was held in Rostov-on-Don, Russia, in April 2018.

This volume is part of the collaboration agreement between Springer and the ISAAC society.

This text addresses systems with persistent memory that are common mathematical models used in the study of viscoelasticity and thermodynamics with memory.

In mathematical physics, one of the fascinating issues is the study of integrable systems.

This volume collects recent contributions on the contemporary trends in the mathematics of quantum mechanics, and more specifically in mathematical problems arising in quantum many-body dynamics, quantum graph theory, cold atoms, unitary gases, with particular emphasis on the developments of the specific mathematical tools needed, including: linear and non-linear Schrodinger equations, topological invariants, non-commutative geometry, resonances and operator extension theory, among others.

This book discusses the important aspects of spectral theory, in particular, the completeness of generalised eigenvectors, Riesz bases, semigroup theory, families of analytic operators, and Gribov operator acting in the Bargmann space.

This book presents a new and original method for the solution of boundary value problems in angles for second-order elliptic equations with constant coefficients and arbitrary boundary operators.

This book is written for scientists and engineers who use HHT (Hilbert-Huang Transform) to analyze data from nonlinear and non-stationary processes.

This book provides explicit representations of finite-dimensional simple Lie algebras, related partial differential equations, linear orthogonal algebraic codes, combinatorics and algebraic varieties, summarizing the author's works and his joint works with his former students.

This book provides a detailed introduction to recent developments in the theory of linear differential systems and integrable total differential systems.

This book focuses on Erdelyi-Kober fractional calculus from a statistical perspective inspired by solar neutrino physics.

The theory of Lebesgue and Sobolev spaces with variable integrability is experiencing a steady expansion, and is the subject of much vigorous research by functional analysts, function-space analysts and specialists in nonlinear analysis.

This book is devoted to norm estimates for operator-valued functions of one and two operator arguments, as well as to their applications to spectrum perturbations of operators and to linear operator equations, i.

This volume contains an important progress on the theory of subnormal operators in the past thirty years, which was developed by the author and his collaborators.

'The book is very well-written by one of the leading figures in the subject.

Evolutionary equations are studied in abstract Banach spaces and in spaces of bounded number sequences.

This book provides the rigorous mathematical foundations of Quantum Physics, from the operational meaning of the measuring process to the most recent theories for the quantum scale of space-time geometry.

This is the only book that deals comprehensively with fixed point theorems throughout mathematics.