Complex analysis, complex variables

With each methodology treated in its own chapter, this monograph is a thorough exploration of several theories that can be used to find explicit formulas for heat kernels for both elliptic and sub-elliptic operators.

This book deals with two subjects.

All modem introductions to complex analysis follow, more or less explicitly, the pattern laid down in Whittaker and Watson [75].

The Applied and Numerical Harmonic Analysis (ANHA) book series aims to provide the engineering, mathematical, and scienti?

This book is a study of how a particular vision of the unity of mathematics, often called geometric function theory, was created in the 19th century.

This text takes advantage of recent developments in the theory of path integration to provide an improved treatment of quantization of systems that either have no constraints or instead involve constraints with demonstratively improved procedures.

This volume, following in the tradition of a similar 2010 publication by the same editors, is an outgrowth of an international conference, "e;Fractals and Related Fields II,"e; held in June 2011.

The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis.

The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis.

Broadly organized around the applications of Fourier analysis, Methods of Applied Mathematics with a MATLAB Overview covers both classical applications in partial differential equations and boundary value problems, as well as the concepts and methods associated to the Laplace, Fourier, and discrete transforms.

The topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi-metric geometry.

Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics.

This monograph isdevoted to a special area ofBanach space theory-the Kothe- Bochner function space.

This textbook presents a unified approach to compact and noncompact Riemann surfaces from the point of view of the so-called L2 $\bar{\delta}$-method.

The classical subject of bases in Banach spaces has taken on a new life in the modern development of applied harmonic analysis.

Representations, Wavelets, and Frames contains chapters pertaining to this theme from experts and expositors of renown in mathematical analysis and representation theory.

Based on a streamlined presentation of the author's previous work, An Introduction to Frames and Riesz Bases, this new textbook fills a gap in the literature, developing frame theory as part of a dialogue between mathematicians and engineers.

Harmonic analysis is a venerable part of modern mathematics.

This textbook is an introduction to the theory and applications of finite tight frames, an area that has developed rapidly in the last decade.

This book introduces geometric spectral theory in the context of Riemann surfaces.

This work examines a rich tapestry of themes and concepts and provides a comprehensive treatment of an important area of mathematics, while simultaneously covering a broader area of the geometry of domains in complex space.

This self-contained work is an introductory presentation of basic ideas, structures, and results of differential and integral calculus for functions of several variables.

A collection of invited chapters dedicated to Carlos Segovia, this unified and self-contained volume examines recent developments in real and harmonic analysis.

The term convexity used to describe these lectures given at the Univer- sity of Lund in 1991-92 should be understood in a wide sense.

The second in a series of three volumes surveying the theory of theta functions, this volume gives emphasis to the special properties of the theta functions associated with compact Riemann surfaces and how they lead to solutions of the Korteweg-de-Vries equations as well as other non-linear differential equations of mathematical physics.

This volume contains the first two out of four chapters which are intended to survey a large part of the theory of theta functions.

In many problems arising in engineering and science one requires approxi- tion methods to reproduce physical reality as well as possible.

The Applied and Numerical Harmonic Analysis (ANHA) book series aims to provide the engineering, mathematical, and scienti?

More than ten years have passed since the book of F.

This book is devoted to an exposition of the theory of polynomially convex sets.

The fields of algebraic functions of one variable appear in several areas of mathematics: complex analysis, algebraic geometry, and number theory.

Complex numbers can be viewed in several ways: as an element in a field, as a point in the plane, and as a two-dimensional vector.

This volume is dedicated to John Benedetto.

This research monograph is a systematic exposition of the background, methods, and recent results in the theory of cycle spaces of ?

Dedicated to Anthony Joseph, this volume contains surveys and invited articles by leading specialists in representation theory.

The problem of asymptotic regulation of the output of a dynamical system plays a central role in control theory.

This book gives an elementary introduction to a classical area of mathemat- ics - approximation theory - in a way that naturally leads to the modern field of wavelets.

Complex variables is a precise, elegant, and captivating subject.

Lie Theory: Unitary Representations and Compactifications of Symmetric Spaces, a self-contained work by A.

Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics.

Differential geometry techniques have very useful and important applications in partial differential equations and quantum mechanics.

Developed in this book are several deep connections between time-frequency (Fourier/Gabor) analysis and time-scale (wavelet) analysis, emphasizing the powerful adaptive methods that emerge when separate techniques from each area are properly assembled in a larger context.

Carlos A.

This volume!

This monograph examines and develops the Global Smoothness Preservation Property (GSPP) and the Shape Preservation Property (SPP) in the field of interpolation of functions.

The goal of the 2019 conference on Stochastic Processes and Algebraic Structures held in SPAS2019, Vasteras, Sweden, from September 30th to October 2nd 2019 was to showcase the frontiers of research in several important topics of mathematics, mathematical statistics, and its applications.