Integral calculus and equations

The theory of integral and integrodifferential equations has ad- vanced rapidly over the last twenty years.

Along with the general development of numerical methods in pure and applied to apply integral equations to geophysical modelling has sciences, the ability improved considerably within the last thirty years or so.

This is the first publication which follows an agreement by Kluwer Publishers with the Caribbean Mathematics Foundation (CMF), to publish the proceedings of its mathematical activities.

Integration in infinitely dimensional spaces (continual integration) is a powerful mathematical tool which is widely used in a number of fields of modern mathematics, such as analysis, the theory of differential and integral equations, probability theory and the theory of random processes.

The aim of this book is to develop a new approach which we called the hyper- geometric one to the theory of various integral transforms, convolutions, and their applications to solutions of integro-differential equations, operational calculus, and evaluation of integrals.

The evolution of systems in random media is a broad and fruitful field for the applica- tions of different mathematical methods and theories.

The Russian edition of this book appeared 5 years ago.

The aim of this work is to initiate a systematic study of those properties of Banach space complexes that are stable under certain perturbations.

Harmonic Analysis in China is a collection of surveys and research papers written by distinguished Chinese mathematicians from within the People's Republic of China and expatriates.

Exactly one hundred years ago, in 1895, G.

Noncommutative differential geometry is a new approach to classical geometry.

Infinite interval problems abound in nature and yet until now there has been no book dealing with such problems.

Integral geometry deals with the problem of determining functions by their integrals over given families of sets.

In preparing this translation for publication certain minor modifications and additions have been introduced into the original Russian text, in order to increase its readibility and usefulness.

Approach your problems from the right end It isn't that they can't see the solution.

Research in the theory of trigonometric series has been carried out for over two centuries.

This book started its life as a series of lectures given by the second author from the 1970's onwards to students in their third and fourth years in the Department of Mathematics at the Rostov State University.

Introduction I.

1.

Since about 1915 integration theory has consisted of two separate branches: the abstract theory required by probabilists and the theory, preferred by analysts, that combines integration and topology.

The theory of almost periodic functions is a very active field of research for scholars.

In 2013, a school on Geometric Measure Theory and Real Analysis, organized by G.

This volume presents an introductory course on differential stochastic equations and Malliavin calculus.

This textbook collects the notes for an introductory course in measure theory and integration.

The concept of Wiener chaos generalizes to an infinite-dimensional setting the properties of orthogonal polynomials associated with probability distributions on the real line.

The book targets undergraduate and postgraduate mathematics students and helps them develop a deep understanding of mathematical analysis.

This book provides cutting-edge results on the existence of multiple positive periodic solutions of first-order functional differential equations.

This book deals with the study of sequence spaces, matrix transformations, measures of noncompactness and their various applications.

Festschrift in Honor of Takahiro Kawai

The appearance of weakly wandering (ww) sets and sequences for ergodic transformations over half a century ago was an unexpected and surprising event.

Dieses seit über 30 Jahren bewährte Standardwerk ist gedacht als Begleittext zur Analysis-Vorlesung des ersten Semesters für Mathematiker, Physiker und Informatiker.

Introduction We have been experiencing since the 1970s a process of "e;symplectization"e; of S- ence especially since it has been realized that symplectic geometry is the natural language of both classical mechanics in its Hamiltonian formulation, and of its re?

A colloquium on operator theory was held in Vienna, Austria, in March 2004, on the occasion of the retirement of Heinz Langer, a leading expert in operator theory and indefinite inner product spaces.

Complex analysis nowadays has higher-dimensional analoga: the algebra of complex numbers is replaced then by the non-commutative algebra of real quaternions or by Clifford algebras.

In this book, non-spectral methods are presented and discussed that have been developed over the last two decades for the investigation of asymptotic behavior of operator semigroups.

Various aspects of numerical analysis for equations arising in boundary integral equation methods have been the subject of several books published in the last 15 years [95, 102, 183, 196, 198].