Complex analysis, complex variables

Asymptotic Characteristics of Entire Functions and Their Applications in Mathematics and Biophysics is the second edition of the same book in Russian, revised and enlarged.

This book is devoted to some results from the classical Point Set Theory and their applications to certain problems in mathematical analysis of the real line.

The understanding of results and notions for a student in mathematics requires solving ex- ercises.

The monograph presents some of the authors' recent and original results concerning boundedness and compactness problems in Banach function spaces both for classical operators and integral transforms defined, generally speaking, on nonhomogeneous spaces.

The asymptotic theory deals with the problern of determining the behaviour of a function in a neighborhood of its singular point.

Historically, complex analysis and geometrical function theory have been inten- sively developed from the beginning of the twentieth century.

In [Hardy and Williams, 1986] the authors exploited a very simple idea to obtain a linear congruence involving class numbers of imaginary quadratic fields modulo a certain power of 2.

Nevanlinna theory (or value distribution theory) in complex analysis is so beautiful that one would naturally be interested in determining how such a theory would look in the non- Archimedean analysis and Diophantine approximations.

The development of dynamics theory began with the work of Isaac Newton.

This book contains an exposition of the theory of meromorphic functions and linear series on a compact Riemann surface.

This book is intended as a continuation of my book "e;Parametrix Method in the Theory of Differential Complexes"e; (see [291]).

This book is the first to be devoted to the theory of vector-valued functions with one variable.

This ASI- which was also the 28th session of the Seminaire de mathematiques superieures of the Universite de Montreal - was devoted to Fractal Geometry and Analysis.

The present monograph consists of two parts.

The subject of this book is connected with a new direction in mathematics, which has been actively developed over the last few years, namely the field of polynomial computer algebra, which lies at the intersection point of algebra, mathematical analysis and programming.

Clifford Algebras continues to be a fast-growing discipline, with ever-increasing applications in many scientific fields.

The first formulations of linear boundary value problems for analytic functions were due to Riemann (1857).

Analytic and Geometric Inequalities and Applications is devoted to recent advances in a variety of inequalities of Mathematical Analysis and Geo- metry.

Survey on Classical Inequalities provides a study of some of the well known inequalities in classical mathematical analysis.

The infinite dimensional analysis as a branch of mathematical sciences was formed in the late 19th and early 20th centuries.

This book, written by our distinguished colleague and friend, Professor Han-Lin Chen of the Institute of Mathematics, Academia Sinica, Beijing, presents, for the first time in book form, his extensive work on complex harmonic splines with applications to wavelet analysis and the numerical solution of boundary integral equations.

This two-volume monograph obtains fundamental notions and results of the standard differential geometry of smooth (CINFINITY) manifolds, without using differential calculus.

The subject of this book is the hierarchies of integrable equations connected with the one-component and multi component loop groups.

Volume 1, i.

Integral representations of holomorphic functions play an important part in the classical theory of functions of one complex variable and in multidimensional com- plex analysis (in the later case, alongside with integration over the whole boundary aD of a domain D we frequently encounter integration over the Shilov boundary 5 = S(D)).

These are the proceedings of the international conference on "e;Nonlinear numerical methods and Rational approximation II"e; organised by Annie Cuyt at the University of Antwerp (Belgium), 05-11 September 1993.

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

This book gives a systematic account of the facts concerning complexes of differential operators on differentiable manifolds.

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.

In its traditional form, Clifford analysis provides the function theory for solutions of the Dirac equation.

Singularities arise naturally in a huge number of different areas of mathematics and science.

This book presents the text of the lectures which were given at the NATO Advanced Study Institute on Representations of Lie groups and Harmonic Analysis which was held in Liege from September 5 to September 17, 1977.

Frechet spaces have been studied since the days of Banach.

The theory of complex analytic sets is part of the modern geometrical theory of functions of several complex variables.

The first part of this book is mainly intended as a textbook for students at the Sophomore-Junior level, majoring in mathematics, engineering, or the sciences in general.

Questo testo, giunto alla seconda edizione, è adatto per una prima esposizione della teoria delle funzioni di singola variabile complessa e si rivolge a studenti di Fisica, Matematica e Ingegneria che abbiano acquisito le nozioni fondamentali dell’Analisi Matematica reale.

E' un testo adatto per una prima esposizione della teoria delle funzioni di singola variabile complessa.