Functional analysis and transforms Books

This volume contains a selection of papers by the participants of the 6. International Conference on Probability in Banach Spaces, Sand­ bjerg, Denmark, June 16-D1, 1986. The conference was attended by 45 participants from...

The term "weakly differentiable functions" in the title refers to those inte­ n grable functions defined on an open subset of R whose partial derivatives in the sense of distributions are either LP functions or (signed)...

Historically, nonclassical physics developed in three stages. First came a collection of ad hoc assumptions and then a cookbook of equations known as "quantum mechanics". The equations and their philosophical underpinnings were...

Preparing students for further study of both the classical works and current research, this is an accessible text for students who have had a course in real and complex analysis and understand the basic properties of L p spaces...

Functional analysis owes much of its early impetus to problems that arise in the calculus of variations. In turn, the methods developed there have been applied to optimal control, an area that also requires new tools, such as...

This two-volume textbook provides comprehensive coverage of partial differential equations, spanning elliptic, parabolic, and hyperbolic types in two and several variables. In this second volume, special emphasis is placed on functional analytic methods...

The theory of elliptic boundary problems is fundamental in analysis and the role of spaces of weakly differentiable functions (also called Sobolev spaces) is essential in this theory as a tool for analysing the regularity of the solutions.This book...

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. This...

"Hypernumbers and Extrafunctions" presents a rigorous mathematical approach to operate with infinite values. First, concepts of real and complex numbers are expanded to include a new universe of numbers called hypernumbers which includes infinite...

Several natural Lp spaces of analytic functions have been widely studied in the past few decades, including Hardy spaces, Bergman spaces, and Fock spaces. The terms "Hardy spaces" and "Bergman spaces" are by now standard and well established. But the...

The Second Edition of this acclaimed text helps you apply theory to real-world applications in mathematics, physics, and engineering. It easily guides you through complex analysis with its excellent coverage of topics such as...

Was plane geometry your favourite math course in high school? Did you like proving theorems? Are you sick of memorising integrals? If so, real analysis could be your cup of tea. In contrast to calculus and elementary algebra,...

This textbook gives an introduction to distribution theory with emphasis on applications using functional analysis. In more advanced parts of the book, pseudodi?erential methods are introduced. Distributiontheoryhasbeen...

General Theory of Banach Algebras.- Gelfand Theory.- Functional Calculus, Shilov Boundary, and Applications.- Regularity and Related Properties.- Spectral Synthesis and Ideal Theory.

This book is an account of the theory of Hardy spaces in one dimension, with emphasis on some of the exciting developments of the past two decades or so. The last seven of the ten chapters are devoted in the main to these...

Bases and Basic Sequences.- The classical sequence spaces.- Special types of bases.- Spaces of continuous functions.- L_1(\mu)-spaces and C(K)-spaces.- L_p(\mu)-spaces, 1 \leq p < \infty.- Factorization Theory.- Absolutely Summing Operators.-...

Convex sets and convex functions: the fundamentals.- Continuity and ?(X).- The derivatives and the subdifferential.- Minima and quasi minima.- The Fenchel conjugate.- Duality.- Linear programming and game theory.- Hypertopologies, hyperconvergences.-...

The great response to the publication of the book Classical and Modern Fourier Analysishasbeenverygratifying.IamdelightedthatSpringerhasofferedtopublish the second edition of this book in two volumes: Classical Fourier...

These proceedings comprise a large part of the papers presented at the In­ ternational Conference Factorization, Singular Operators and related problems, which was held from January 28 to February 1, 2002, at the University of...

Approach your problems from the right It isn't that they can't see the solution. end and begin with the answers. Then It is that they can't see the problem. one day, perhaps you will find the final question. G.K. Chesterton...

Over the past few years a certain shift of focus within the theory of algebras of generalized functions (in the sense of J. F. Colombeau) has taken place. Originating in infinite dimensional analysis and initially applied...

The study of quantum disorder has generated considerable research activity in mathematics and physics over past 40 years. While single-particle models have been extensively studied at a rigorous mathematical level, little was known about systems of...

Preface1. Fundamental notions, general and auxiliary facts2. Simplest schemes of generalized solution of linear operator equations2.1. Strong generalized solution2.2. Strong almost solution2.3. Weak generalized solution2.4. Weak almost solution2.5...

Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related...

Scalar Derivatives in Euclidean Spaces.- Asymptotic Derivatives and Asymptotic Scalar Derivatives.- Scalar Derivatives in Hilbert Spaces.- Scalar Derivatives in Banach Spaces.- Monotone Vector Fields on Riemannian Manifolds and Scalar Derivatives.

In this book the author presents the Opial, Poincaré, Sobolev, Hilbert, and Ostrowski fractional differentiation inequalities. Results for the above are derived using three different types of fractional derivatives, namely by...

This volume is a useful introduction to the subject of Fourier Integral Operators and is based on the author's classic set of notes. Covering a range of topics from Hörmander's exposition of the theory, Duistermaat approaches the subject from symplectic...

Based on a streamlined presentation of the author's successful work, An Introduction to Frames and Riesz Bases, this book develops frame theory as part of a dialogue between mathematicians and engineers. Newly added sections on...

In diesem Buch werden Übungen zu folgenden mathematischen Themen durchgeführt:Banach- und HilberträumeOperationen in VektorräumenLebesgue-Maß und Integral.Außerdem werden erste theoretische Hinweise gegeben, um die...

Master's Thesis from the year 2015 in the subject Mathematics - Analysis, grade: A, , course: MSC Pure mathematics, language: English, abstract: In this study, the author has investigated the absolutely continuous spectrum of a fourth order self-adjoint...

""Biorthogonal Systems of Functions; Application of Biorthogonal Systems of Functions to the Theory of Integral Equations"" is a book written by Anna Johnson Pell and first published in 1911. The book is divided into two parts. The first part covers the...

2012 Reprint of 1942 Edition. Exact facsimile of the original edition, not reproduced with Optical Recognition Software. As a newly minted Ph.D., Paul Halmos came to the Institute for Advanced Study in 1938--even though he did not have a fellowship--to...

The stability problem for approximate homomorphisms, or the Ulam stability problem, was posed by S. M. Ulam in the year 1941. The solution of this problem for various classes of equations is an expanding area of research...

LDO Regulator provide a low dropout voltage, low supply current and a stable power supply voltage independent of load impedance, input-voltage variations, temperature, and time.The most basic function of a voltage regulator is voltage regulation,...

This volume contains, in part, a selection of papers presented at the sixth Australian Optimization Day Miniconference (Ballarat, 16 July 1999), and the Special Sessions on Nonlinear Dynamics and Optimization and Operations Re­...

Problems that are considered in this book model various mechanical phenomena, especially from rod theory and viscoelasticity. Differential equations that arise have coefficients which are not smooth, can be even distributions (Dirac delta and ...

Le livre ""Sur Les Equations Fonctionnelles: Particulierement Les Equations Fonctionnelles Generalisant Les Equations Differentielles Lineaires Et Homog�����nes (1899)"" de Nilsson, Gerhard est une �����tude approfondie des �����quations fonctionnelles,...

Analysis on Function Spaces of Musielak-Orlicz Type provides a state-of-the-art survey on the theory of function spaces of Musielak-Orlicz type. The book also offers readers a step-by-step introduction to the theory of Musielak-Orlicz spaces, and...

2012 Reprint of Volumes One and Two, 1957-1961. Exact facsimile of the original edition, not reproduced with Optical Recognition Software. A. N. Kolmogorov was a Soviet mathematician, preeminent in the 20th century, who advanced various scientific...

This book provides a systematic, rigorous and self-contained treatment of positive dynamical systems. A dynamical system is positive when all relevant variables of a system are nonnegative in a natural way. This is in biology, demography or economics,...

This book is devoted to real analysis methods for the problem of constructing Markov processes with boundary conditions in probability theory. Analytically, a Markovian particle in a domain of Euclidean space is governed by an integro-differential...

Relative entropy has played a significant role in various fields of mathematics and physics as the quantum version of the Kullback-Leibler divergence in classical theory. Many variations of relative entropy have been introduced so far with applications...

This book provides a valuable collection of contributions by distinguished scholars presenting the state of the art and some of the most significant latest developments and future challenges in the field of dispersive partial differential equations. The...

This book presents modern methods in functional analysis and operator theory along with their applications in recent research. The book also deals with the solvability of infinite systems of linear equations in various sequence spaces. It uses the...

This book discusses basic topics in the spectral theory of dynamical systems. It also includes two advanced theorems, one by H. Helson and W. Parry, and another by B. Host.  Moreover, Ornstein's family of mixing rank-one automorphisms is given with...