Functional analysis and transforms

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.

This book provides an in-depth account of modern methods used to bound the supremum of stochastic processes.

This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including the stabilization property of the damped wave equation and the null-controllability of the heat equation.

This text is the first of its kind exclusively devoted to counterexamples in operator theory and includes over 500 problems on bounded and unbounded linear operators in Hilbert spaces.

Inequalities play a central role in mathematics with various applications in other disciplines.

This volume provides a systematic survey of almost all the equivalent assertions to the functional equations - zeta symmetry - which zeta-functions satisfy, thus streamlining previously published results on zeta-functions.

This volume is dedicated to the memory of Harold Widom (1932-2021), an outstanding mathematician who has enriched mathematics with his ideas and ground breaking work since the 1950s until the present time.

This volume provides a timely survey of interactions between the calculus of variations and theoretical and applied mechanics.

This book includes four courses on geometric measure theory, the calculus of variations, partial differential equations, and differential geometry.

This volume presents a completely self-contained introduction to the elaborate theory of locally compact quantum groups, bringing the reader to the frontiers of present-day research.

This book gathers contributions on analytical, numerical, and application aspects of time-delay systems, under the paradigm of control theory, and discusses recent advances in these different contexts, also highlighting the interdisciplinary connections.

This book provides the knowledge of the newly-established supertrigonometric and superhyperbolic functions with the special functions such as Mittag-Leffler, Wiman, Prabhakar, Miller-Ross, Rabotnov, Lorenzo-Hartley, Sonine, Wright and Kohlrausch-Williams-Watts functions, Gauss hypergeometric series and Clausen hypergeometric series.

This book reviews the theory of 'generalized B*-algebras' (GB*-algebras), a class of complete locally convex *-algebras which includes all C*-algebras and some of their extensions.

This book publishes original research chapters on the theory of approximation by positive linear operators as well as theory of sequence spaces and illustrates their applications.

This brief presents a global perspective on the geometry of spaces of polynomials.

The theory of hypergroups is a rapidly developing area of mathematics due to its diverse applications in different areas like probability, harmonic analysis, etc.

This book explores fractional differential equations with a fixed point approach.