Functional analysis and transforms

The analytical basis of Navier-Stokes Equations in Irregular Domains is formed by coercive estimates, which enable proofs to be given of the solvability of the boundary value problems for Stokes and Navier-Stokes equations in weighted Sobolev and Holder spaces, and the investigation of the smoothness of their solutions.

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.

Most classes of operators that are not isomorphic embeddings are characterized by some kind of a "e;smallness"e; condition.

This book is devoted to real analysis methods for the problem of constructing Markov processes with boundary conditions in probability theory.

This book provides an introduction to the theory and applications of point processes, both in time and in space.

This book aims to establish a systematic theory on the synchronization for wave equations with locally distributed controls.

This textbook is a thorough, accessible introduction to advanced digital Fourier analysis for advanced students.

Gone are the days when data was interlinked with related data by humans and human interpretation was required.

This volume opens the world of free probability to a wide variety of readers.

This advanced undergraduate/beginning graduate text covers measure theory and discrete aspects of functional analysis, with 760 exercises.

Banach-Space Operators On C*-Probability Spaces Generated by Multi Semicircular Elements introduces new areas in operator theory and operator algebra, in connection with free probability theory.

Special functions and q-series are currently very active areas of research which overlap with many other areas of mathematics, such as representation theory, classical and quantum groups, affine Lie algebras, number theory, harmonic analysis, and mathematical physics.

This book is the first monograph on a new powerful method discovered by the author for the study of nonlinear dynamical systems relying on reduction of nonlinear differential equations to the linear abstract Schrodinger-like equation in Hilbert space.

Confusing Textbooks?

A cohesive and exhaustive account of the modern theory of iterative functional equations.

Over the past six decades, several extremely important fields in mathematics have been developed.

A friendly introduction to Fourier analysis on finite groups, accessible to undergraduates/graduates in mathematics, engineering and the physical sciences.

This book proves that Feynman's original definition of the path integral actually converges to the fundamental solution of the Schrodinger equation at least in the short term if the potential is differentiable sufficiently many times and its derivatives of order equal to or higher than two are bounded.

Nonlinear analysis has developed rapidly in the last three decades.

One of the fundamental questions of Banach space theory is whether every Banach space has a basis.

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

This volume presents the revised papers of the 14th International Conference in Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, MCQMC 2020, which took place online during August 10-14, 2020.

The book provides a comprehensive introduction and a novel mathematical foundation of the field of information geometry with complete proofs and detailed background material on measure theory, Riemannian geometry and Banach space theory.

This book gives a complete classification of all algebras with the Kadison-Singer property, when restricting to separable Hilbert spaces.

This proceedings volume gathers peer-reviewed, selected papers presented at the "e;Mathematical and Numerical Approaches for Multi-Wave Inverse Problems"e; conference at the Centre Internacional de Rencontres Mathematiques (CIRM) in Marseille, France, in April 2019.

This monograph guides the reader to the mathematical crossroads of heat equations and differential geometry via functional analysis.

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.

The book is devoted to the structural analysis of vector and random (or both) valued countably additive measures, and used for integral representations of random fields.

In this textbook, a concise approach to complex analysis of one and several variables is presented.

Fixed point theory of nonlinear operators has been a rapidly growing area of research and plays an important role in the study of variational inequalities, monotone operators, feasibility problems, and optimization theory, to name just several.

This volume is dedicated to Leonid Lerer on the occasion of his seventieth birthday.

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.

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This textbook, based on three series of lectures held by the author at the University of Strasbourg, presents functional analysis in a non-traditional way by generalizing elementary theorems of plane geometry to spaces of arbitrary dimension.

Abstract models for many problems in science and engineering take the form of an operator equation.

A functional identity (FI) can be informally described as an identical relation involving(arbitrary)elementsinaringtogetherwith("e;unknown"e;)functions;more precisely,elementsaremultipliedbyvaluesoffunctions.

This book presents a collection of expository and research papers on various topics in matrix and operator theory, contributed by several experts on the occasion of Albrecht Bottcher's 60th birthday.

This concise volume presents an overview of equations of mathematical physics and generalized functions.

This book collects lectures given by the plenary speakers at the 10th International ISAAC Congress, held in Macau, China in 2015.

N atur non facit saltus?

In Statistical Physics one of the ambitious goals is to derive rigorously, from statistical mechanics, the thermodynamic properties of models with realistic forces.

This first volume of a two-volume overview covers the basic theory of Banach spaces, harmonic analysis and probability.

Functional Equations, Inequalities and Applications provides an extensive study of several important equations and inequalities, useful in a number of problems in mathematical analysis.

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 textbook provides an in-depth exploration of statistical learning with reproducing kernels, an active area of research that can shed light on trends associated with deep neural networks.

While wavelets have since their discovery mainly been applied to problems in signal analysis and image compression, their analytic power has more and more also been recognized for problems in Numerical Analysis.

As data is an important asset for any organization, it is essential to apply semantic technologies in data science to fulfill the need of any organization.