Functional analysis and transforms

This book is aimed toward graduate students and researchers in mathematics, physics and engineering interested in the latest developments in analytic inequalities, Hilbert-Type and Hardy-Type integral inequalities, and their applications.

This volume presents cutting edge research from the frontiers of functional equations and analytic inequalities active fields.

This advanced graduate textbook presents main results and techniques in Functional Analysis and uses them to explore other areas of mathematics and applications.

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 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 monograph introduces a novel and effective approach to counting lattice paths by using the discrete Fourier transform (DFT) as a type of periodic generating function.

This book presents a number of important contributions focusing on harmonic analysis and representation theory of Lie groups.

Developed over years of classroom use, this textbook provides a clear and accessible approach to real analysis.

This book explores and highlights the fertile interaction between logic and operator algebras, which in recent years has led to the resolution of several long-standing open problems on C*-algebras.

This book offers an introduction to a classical problem in ergodic theory and smooth dynamics, namely, the Kolmogorov-Bernoulli (non)equivalence problem, and presents recent results in this field.

This book brings together research articles and state-of-the-art surveys in broad areas of optimization and numerical analysis with particular emphasis on algorithms.

This book provides an in depth discussion of Loewner's theorem on the characterization of matrix monotone functions.

This essentially self-contained, deliberately compact, and user-friendly textbook is designed for a first, one-semester course in statistical signal analysis for a broad audience of students in engineering and the physical sciences.

This book provides a comprehensive study of turnpike phenomenon arising in optimal control theory.

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

This book is a valuable resource for Graduate students and researchers interested in current techniques and methods within the theory of moments in linear positive operators and approximation theory.

This monograph is devoted to covering the main results in the qualitative theory of symplectic difference systems, including linear Hamiltonian difference systems and Sturm-Liouville difference equations, with the emphasis on the oscillation and spectral theory.

This volume collects contributions from the speakers at an INdAM Intensive period held at the University of Bari in 2017.

This book focuses on the theory of the Gibbs semigroups, which originated in the 1970s and was motivated by the study of strongly continuous operator semigroups with values in the trace-class ideal.

This textbook provides a thorough introduction to measure and integration theory, fundamental topics of advanced mathematical analysis.

This volume includes contributions originating from a conference held at Chapman University during November 14-19, 2017.

This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems.

The aim of this book is to present results related to Kato's famous inequality for bounded linear operators on complex Hilbert spaces obtained by the author in a sequence of recent research papers.

This book is the result of a meeting on Topology and Functional Analysis, and is dedicated to Professor Manuel Lopez-Pellicer's mathematical research.

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.

This textbook provides a coherent, integrated look at various topics from undergraduate analysis.

The aim of this book is to present various facets of the theory and applications of Lipschitz functions, starting with classical and culminating with some recent results.

This book presents a new theory for evolution operators and a new method for defining fractional powers of vector operators.

This book presents a systematic treatment of generalized Orlicz spaces (also known as Musielak-Orlicz spaces) with minimal assumptions on the generating F-function.

This book is devoted to the qualitative theory of functional dynamic equations on time scales, providing an overview of recent developments in the field as well as a foundation to time scales, dynamic systems, and functional dynamic equations.

This book explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research.

Over the past 25 years, Carleman estimates have become an essential tool in several areas related to partial differential equations such as control theory, inverse problems, or fluid mechanics.

This book covers a diverse range of topics in Mathematical Physics, linear and nonlinear PDEs.

This book contains both expository articles and original research in the areas of function theory and operator theory.

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 has two main objectives, the first of which is to extend the power of numerical Fourier analysis and to show by means of theoretical examples and numerous concrete applications that when computing discrete Fourier transforms of periodic and non periodic functions, the usual kernel matrix of the Fourier transform, the discrete Fourier transform (DFT), should be replaced by another kernel matrix, the eXtended Fourier transform (XFT), since the XFT matrix appears as a convergent quadrature of a more general transform, the fractional Fourier transform.

This book presents four survey articles on various aspects of open quantum systems, specifically addressing quantum Markovian processes, Feller semigroups and nonequilibrium dynamics.

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 discusses an in-depth theory of function spaces in an Euclidean setting, including several new features, not previously covered in the literature.

This volume is devoted to Joseph A.

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.

The asymptotic distribution of eigenvalues of self-adjoint differential operators in the high-energy limit, or the semi-classical limit, is a classical subject going back to H.

This volume presents current trends in analysis and partial differential equations from researchers in developing countries.

The chapters in this volume are based on talks given at the inaugural Aspects of Time-Frequency Analysis conference held in Turin, Italy from July 5-7, 2017, which brought together experts in harmonic analysis and its applications.

This volume, like its predecessors, is based on the special session on pseudo-differential operators, one of the many special sessions at the 11th ISAAC Congress, held at Linnaeus University in Sweden on August 14-18, 2017.

This book describes recent developments as well as some classical results regarding holomorphic mappings.

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

This book is a collection of short papers from the 11th International ISAAC Congress 2017 in Vaxjo, Sweden.