Functional analysis and transforms Books

Even though the theories of operational calculus and integral transforms are centuries old, these topics are constantly developing, due to their use in the fields of mathematics, physics, and electrical and radio engineering. Operational Calculus and...

Coupled with its sequel, this book gives a connected, unified exposition of Approximation Theory for functions of one real variable. It describes spaces of functions such as Sobolev, Lipschitz, Besov rearrangement-invariant...

Ce livre est une introduction complète aux fonctions elliptiques et à leurs applications en physique, en géométrie et en théorie des nombres. Les sujets abordés incluent les fonctions elliptiques de première et de deuxième espèces, les fonctions de...

Ce livre est une exploration rigoureuse de la théorie des fonctions, avec des éclaircissements sur certains points importants de cette théorie. Il convient aux étudiants avancés en mathématiques ainsi qu'aux professionnels de la discipline. Les lecteurs...

This groundbreaking work in mathematics explores the fascinating properties of Abel's functional equation. With its rigorous analysis and clear exposition, this book is an essential resource for students and scholars of mathematics, as well as anyone...

This volume attempts to exhibit current research in stochastic integration, stochastic differential equations, stochastic optimization and stochastic problems in physics and biology. It includes information on the theory of Dirichlet forms, Feynman...

the many different applications that this theory provides. We mention that the existing literature on this subject includes the books of J. P. Aubin, J. P. Aubin-A. Cellina, J. P. Aubin-H. Frankowska, C. Castaing-M. Valadier, K...

One service mathematic;., has Jcndcml the 'Et moi, .. ~ si j'avait su comment CD revcnir, human race. It has put COIDDlOJI SCIISC back je n'y scrais point allC.' whc:rc it belongs, on the topmost shell next Jules Verne to the...

This Monograph contains a collection of problems arising in partial differential equations investigated by means of complex analysis approached in elementary ways.

The purpose of this book is to describe the theory of Hankel operators, one of the most important classes of operators on spaces of analytic func­ tions. Hankel operators can be defined as operators having infinite Hankel...

The main subject of this book is the estimation and forecasting of continuous time processes. It leads to a development of the theory of linear processes in function spaces. Mathematical tools are presented, as well as...

The first six chapters and Appendix 1 of this book appeared in Japanese in a book of the same title 15years aga (Jikkyo, Tokyo, 1980).At the request of some people who do not wish to learn Japanese, I decided to rewrite my old...

Award-winning monograph of the Ferran Sunyer i Balaguer Prize 1997. This book is a self-contained exposition of the spectral theory of Toeplitz operators with piecewise continuous symbols and singular integral operators with...

Stability indicating RP-HPLC method for estimation of Tenofovir Disoproxil Fumarate in the presence of its degradation products during conduction of stability studies on the pure drug which was carried out by using a mobile phase comprising ACN: Water...

A quadratic differential on aRiemann surface is locally represented by a ho­ lomorphic function element wh ich transforms like the square of a derivative under a conformal change of the parameter. More generally, one also...

Containing more than 6,000 entries, CRC Standard Mathematical Tables and Formulas, 33rd Edition continues to provide essential formulas, tables, figures and detailed descriptions. The newest edition of this popular series also features many diagrams,...

Elementary Introduction to the Lebesgue Integral is not just an excellent primer of the Lebesgue integral for undergraduate students but a valuable tool for tomorrow's mathematicians. Since the early twentieth century, the Lebesgue integral has been a...

The history of mathematics is, to a considerable extent, connected with the study of solutions of the equation f(x)=a=const for functions f(x) of one real or complex variable. Therefore, it is surprising that we know very little about solutions of...

A unique introduction to the theory of linear operators on Hilbert space. The author presents the basic facts of functional analysis in a form suitable for engineers, scientists, and applied mathematicians. Although the...

The purpose of this book is to present modern developments and applications of the techniques of modulus or extremal length of path families in the study of m- n pings in R , n? 2, and in metric spaces. The modulus method was...

In the library at Trinity College, Cambridge in 1976, George Andrews of Pennsylvania State University discovered a sheaf of pages in the handwriting of Srinivasa Ramanujan. Soon designated as "Ramanujan's Lost Notebook," it...

A collection of articles on various aspects of q-series and special functions dedicated to Mizan Rahman. It also includes an article by Askey, Ismail, and Koelink on Rahman's mathematical contributions and how they influenced...

Education plays a pivotal role in shaping the progress and development of any society. It is the foundation upon which civilizations are built and the key to unlocking a brighter future. In this subchapter, we will explore the significance of education...

Day to day numbers of newer drugs and their formulations either in single or in combined dosage forms are marketed.Combination of ciprofloxacin and metronidazole is one of new combination used in crohn's disease. This combination is not official in any...

This book grew out of a course which I gave during the winter term 1997/98 at the Universitat Munster. The course covered the material which here is presented in the first three chapters. The fourth more advanced chapter was...

In this work we explore the relation between some local Dirichlet spaces and some operator ranges. As an application we give numerical bounds for an equivalence of norms on a particular subspace of the Hardy space. Based on these results we introduce an...

This book is meant as a text for a first-year graduate course in analysis. In a sense, it covers the same topics as elementary calculus but treats them in a manner suitable for people who will be using it in further...

Functional Equations and Inequalities with Applications presents a comprehensive, nearly encyclopedic, study of the classical topic of functional equations.  This self-contained monograph explores all aspects of...

This edited book is aimed at researchers, graduate students, educators and engineers with interest in mathematics in general, and in mathematical analysis in particular. The book aims to present theory, methods, and applications of the selected topics...