Functional analysis and transforms

This monograph is devoted to developing a theory of combined measure and shift invariance of time scales with the related applications to shift functions and dynamic equations.

This textbook presents a comprehensive treatment of the theory and implementation of inverse methods in the analysis and interpretation of Earth's gravity field.

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.

This book covers the construction, analysis, and theory of continuous nowhere differentiable functions, comprehensively and accessibly.

This book provides a concise survey of the theory of zero product-determined algebras, which has been developed over the last 15 years.

This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes.

This book investigates the convergence and summability of both one-dimensional and multi-dimensional Fourier transforms, as well as the theory of Hardy spaces.

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 concise text provides a gentle introduction to functional analysis.

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

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.

This monograph develops the Gaussian functional capacity theory with applications to restricting the Gaussian Campanato/Sobolev/BV space.

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

Continuing the authors' multivolume project, this text considers the theory of distributions from an applied perspective, demonstrating how effective a combination of analytic and probabilistic methods can be for solving problems in the physical and engineering sciences.

The book collects and contributes new results on the theory and practice of ill-posed inverse problems.

This monograph, now in a thoroughly revised second edition, develops the theory of stochastic calculus in Hilbert spaces and applies the results to the study of generalized solutions of stochastic parabolic equations.

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

The aim of this book is to present different aspects of the deep interplay between Partial Differential Equations and Geometry.

The book consists of articles based on the XXXVIII Bialowieza Workshop on Geometric Methods in Physics, 2019.

Dieses Übungsbuch befasst sich mit dem Gebiet Signale und Systeme und beinhaltet insbesondere die Themen reelle und komplexe Fourier-Reihen, Differentialgleichungen, Faltung, Fourier- und Laplacetransformation.

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

This timely book exposes succinctly recent advances in the geometric and analytic theory of bounded symmetric domains.

The book presents an introduction to the geometry of Hilbert spaces and operator theory, targeting graduate and senior undergraduate students of mathematics.

This book presents results about certain summability methods, such as the Abel method, the Norlund method, the Weighted mean method, the Euler method and the Natarajan method, which have not appeared in many standard books.

This book offers a comprehensive treatment of the theory of measures of noncompactness.

This volume contains techniques of integration which are not found in standard calculus and advanced calculus books.

The book discusses the basic theory of topological and variational methods used in solving nonlinear equations involving mappings between normed linear spaces.

The book focuses on how to implement discrete wavelet transform methods in order to solve problems of reaction-diffusion equations and fractional-order differential equations that arise when modelling real physical phenomena.

The book presents a theory of abstract duality pairs which arises by replacing the scalar field by an Abelian topological group in the theory of dual pair of vector spaces.

This book is intended for university seniors and graduate students majoring in probability theory or mathematical finance.

This book provides a thorough conversation on the underpinnings of Covid-19 spread modelling by using stochastics nonlocal differential and integral operators with singular and non-singular kernels.

This book collects papers on major topics in fixed point theory and its applications.

The book serves as a primary textbook of partial differential equations (PDEs), with due attention to their importance to various physical and engineering phenomena.

'This is a book to be read and worked with.

This is the first textbook-type presentation of tropical value distribution theory.

This book serves as a textbook in real analysis.

Some problems in mathematical analysis (e.

This volume aims to highlight trends and important directions of research in orthogonal polynomials, q-series, and related topics in number theory, combinatorics, approximation theory, mathematical physics, and computational and applied harmonic analysis.

This book discusses the theory of wavelets on local fields of positive characteristic.

This book collects chapters on contemporary topics on metric fixed point theory and its applications in science, engineering, fractals, and behavioral sciences.

This book discusses major topics in measure theory, Fourier transforms, complex analysis and algebraic topology.

This book explains the mathematical structures of supersymmetric quantum field theory (SQFT) from the viewpoints of functional and infinite-dimensional analysis.

This volume contains short courses and recent papers by several specialists in different fields of Mathematical Analysis.

Topology is a large subject with several branches, broadly categorized as algebraic topology, point-set topology, and geometric topology.

The objective of this book is to construct a rigorous mathematical approach to linear hereditary problems of wave propagation theory and demonstrate the efficiency of mathematical theorems in hereditary mechanics.