Functional analysis and transforms

The purpose of this Brief is to give a quick practical introduction into the subject of Toeplitz operators  on Kahler manifolds, via examples, worked out carefully and in detail.

This book is devoted to the study of positive solutions to indefinite problems.

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

This volume presents research and expository papers highlighting the vibrant and fascinating study of irregularities in the distribution of primes.

The book concisely presents the fundamental aspects of the theory of operators on Hilbert spaces.

Written by an expert on the topic and experienced lecturer, this textbook provides an elegant, self-contained introduction to functional analysis, including several advanced topics and applications to harmonic analysis.

The subject of this book stands at the crossroads of ergodic theory and measurable dynamics.

This book presents an in-depth study on advances in constructive approximation theory with recent problems on linear positive operators.

This concise text provides a gentle introduction to functional analysis.

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

This book surveys the foundations of the theory of slice regular functions over the quaternions, introduced in 2006, and gives an overview of its generalizations and applications.

This book gathers the revised lecture notes from a seminar course offered at the Federal University of Rio de Janeiro in 1986, then in Tokyo in 1987.

This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations.

This second edition provides a thorough introduction to contemporary convex function theory with many new results.

This monograph offers an introduction to finite Blaschke products and their connections to complex analysis, linear algebra, operator theory, matrix analysis, and other fields.

In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.

The spectra of transfer operators associated to dynamical systems, when acting on suitable Banach spaces, contain key information about the ergodic properties of the systems.

Sound is almost always around us, anywhere, at any time, reaching our ears and stimulating our brains for better or worse.

This textbook provides a comprehensive introduction to the classical and modern calculus of variations, serving as a useful reference to advanced undergraduate and graduate students as well as researchers in the field.

This monograph offers a self-contained introduction to pseudodifferential operators and wavelets over real and p-adic fields.

This book details approximate solutions to common fixed point problems and convex feasibility problems in the presence of perturbations.

This book presents exercises and problems in the mathematical methods of physics with the aim of offering undergraduate students an alternative way to explore and fully understand the mathematical notions on which modern physics is based.

This book presents 29 invited articles written by participants of the International Workshop on Operator Theory and its Applications held in Chemnitz in 2017.

This volume originates from the INDAM Symposium on Trends on Applications of Mathematics to Mechanics (STAMM), which was held at the INDAM headquarters in Rome on 5-9 September 2016.

This book develops the foundations of "e;summability calculus"e;, which is a comprehensive theory of fractional finite sums.

This book is devoted to the study of certain integral representations for Neumann, Kapteyn, Schlomilch, Dini and Fourier series of Bessel and other special functions, such as Struve and von Lommel functions.

This book collects together lectures by some of the leaders in the field of partial differential equations and geometric measure theory.

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

This book discusses the latest advances in algorithms for symbolic summation, factorization, symbolic-numeric linear algebra and linear functional equations.

The book collects the most relevant outcomes from the INdAM Workshop "e;Geometric Function Theory in Higher Dimension"e; held in Cortona on September 5-9, 2016.

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 book features a collection of recent findings in Applied Real and Complex Analysis that were presented at the 3rd International Conference "e;Boundary Value Problems, Functional Equations and Applications"e; (BAF-3), held in Rzeszow, Poland on 20-23 April 2016.

This book consists of invited survey articles and research papers in the scientific areas of the "e;International Workshop on Operator Algebras, Operator Theory and Applications,"e; which was held in Lisbon in July 2016.

The focus of this book is on open conformal dynamical systems corresponding to the escape of a point through an open Euclidean ball.

This book presents, in a consistent and unified overview, results and developments in the field of today's spherical sampling, particularly arising in mathematical geosciences.

This book collects the notes of the lectures given at an Advanced Course on Dynamical Systems at the Centre de Recerca Matematica (CRM) in Barcelona.

This book presents an in-depth treatment of various mathematical aspects of electromagnetism and Maxwell's equations: from modeling issues to well-posedness results and the coupled models of plasma physics (Vlasov-Maxwell and Vlasov-Poisson systems) and magnetohydrodynamics (MHD).

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;.

This monograph deals primarily with the prediction of vector valued stochastic processes that are either weakly stationary, or have weakly stationary increments, from finite segments of their past.

This book focuses on developments in complex dynamical systems and geometric function theory over the past decade, showing strong links with other areas of mathematics and the natural sciences.

This book presents boundary value problems for arbitrary elliptic pseudo-differential operators on a smooth compact manifold with boundary.

This second volume of Analysis in Banach Spaces, Probabilistic Methods and Operator Theory, is the successor to Volume I, Martingales and Littlewood-Paley Theory.

This volume, which is dedicated to Heinz Langer, includes biographical material and carefully selected papers.

Marking a distinct departure from the perspectives of frame theory and discrete transforms, this book provides a comprehensive mathematical and algorithmic introduction to wavelet theory.

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.

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

This volume presents current research in functional analysis and its applications to a variety of problems in mathematics and mathematical physics.

"e;This book addresses mathematical problems motivated by various applications in physics, engineering, chemistry and biology.

The purpose of this monograph is two-fold: it introduces a conceptual language for the geometrical objects underlying Painleve equations, and it offers new results on a particular Painleve III equation of type PIII (D6), called PIII (0, 0, 4, -4), describing its relation to isomonodromic families of vector bundles on P1 with meromorphic connections.