Complex analysis, complex variables

Coherent states (CS) were originally introduced in 1926 by Schrodinger and rediscovered in the early 1960s in the context of laser physics.

This book gives a systematic presentation of real algebraic varieties.

The contributions to this volume are devoted to a discussion of state-of-the-art research and treatment of problems of a wide spectrum of areas in complex analysis ranging from pure to applied and interdisciplinary mathematical research.

What is spectral action, how to compute it and what are the known examples?

This self-contained book lays the foundations for a systematic understanding of potential theoretic and uniformization problems on fractal Sierpinski carpets, and proposes a theory based on the latest developments in the field of analysis on metric spaces.

Differential and complex geometry are two central areas of mathematics with a long and intertwined history.

This book collects the abstracts of  the mini-courses and lectures given during the Intensive Research Program "e;Spaces of Analytic Functions: Approximation, Interpolation, Sampling"e; which was held at the Centre de Recerca Matematica (Barcelona) in October-December, 2019.

This monograph systematically explores the theory of rational maps between spheres in complex Euclidean spaces and its connections to other areas of mathematics.

These proceedings are based on papers presented at the international conference Approximation Theory XV, which was held May 22-25, 2016 in San Antonio, Texas.

This book provides comprehensive information on the conceptual basis of wavelet theory and it applications.

This book explains the foundations of holomorphic curve theory in contact geometry.

This volume is an outcome of the workshop "e;Moduli of K-stable Varieties"e;, which was held in Rome, Italy in 2017.

Different aspects of harmonic analysis, complex analysis, sampling theory, approximation theory and related topics are covered in this volume.

This volume is part of the collaboration agreement between Springer and the ISAAC society.

This book, now in a carefully revised second edition, provides an up-to-date account of Oka theory, including the classical Oka-Grauert theory and the wide array of applications to the geometry of Stein manifolds.

Mathematical Physics is an introduction to such basic mathematical structures as groups, vector spaces, topological spaces, measure spaces, and Hilbert space.

This book provides the latest competing research results on non-commutative harmonic analysis on homogeneous spaces with many applications.

This book presents a new and original method for the solution of boundary value problems in angles for second-order elliptic equations with constant coefficients and arbitrary boundary operators.

Collecting together the lecture notes of the CIME Summer School held in Cetraro in July 2018, the aim of the book is to introduce a vast range of techniques which are useful in the investigation of complex manifolds.

This volume consists of ten articles which provide an in-depth and reader-friendly survey of some of the foundational aspects of singularity theory.

This book provides a detailed introduction to recent developments in the theory of linear differential systems and integrable total differential systems.

This second review volume is a follow-up to the book "e;Engineering of Chemical Complexity"e; that appeared in 2013.

This is a book of a series on interdisciplinary topics on the Mathematical and Biological Sciences.

Deep connections exist between harmonic and applied analysis and the diverse yet connected topics of machine learning, data analysis, and imaging science.

Integrals and sums are not generally considered for evaluation using complex integration.

This volume presents a completely self-contained introduction to the elaborate theory of locally compact quantum groups, bringing the reader to the frontiers of present-day research.

The principle of local activity explains the emergence of complex patterns in a homogeneous medium.

This book collects the proceedings of a series of conferences dedicated to birational geometry of Fano varieties held in Moscow, Shanghai and PohangThe conferences were focused on the following two related problems:*  existence of Kahler-Einstein metrics on Fano varieties*  degenerations of Fano varietieson which two famous conjectures were recently proved.

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

Geometric Function Theory is that part of Complex Analysis which covers the theory of conformal and quasiconformal mappings.

A clear, concise introduction to the quickly growing field of complexity science that explains its conceptual and mathematical foundations What is a complex system?

This is the fifth volume of the Handbook of Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state-of-the-art of the subject, its frontiers, and its interactions with other areas of research.

The book consists of a presentation from scratch of cycle space methodology in complex geometry.

The book presents a research area in geometric function theory concerned with harmonic quasiconformal mappings and hyperbolic type metrics defined on planar and multidimensional domains.

Authored by a ranking authority in Gaussian harmonic analysis, this book embodies a state-of-the-art entree at the intersection of two important fields of research: harmonic analysis and  probability.

The chapters of this volume are based on talks given at the eleventh international Sampling Theory and Applications conference held in 2015 at American University in Washington, D.

The chapters in this volume are based on talks given at the inaugural Aspects of Time-Frequency Analysis conference held in Turin, Italy from July 5-7, 2017, which brought together experts in harmonic analysis and its applications.

Quaternionic and Clifford analysis are an extension of complex analysis into higher dimensions.

This book presents English translations of Michele Sce's most important works, originally written in Italian during the period 1955-1973, on hypercomplex analysis and algebras of hypercomplex numbers.

This book presents a number of important contributions focusing on harmonic analysis and representation theory of Lie groups.

The asymptotic distribution of eigenvalues of self-adjoint differential operators in the high-energy limit, or the semi-classical limit, is a classical subject going back to H.

This is a collection of surveys on important mathematical ideas, their origin, their evolution and their impact in current research.

The book faces the interplay among dynamical properties of semigroups, analytical properties of infinitesimal generators and geometrical properties of Koenigs functions.

In 1967 Walter K.

This is a book comprising selected papers of colleagues and friends of Heinrich Begehr on the occasion of his 80th birthday.

This book focuses on a conjectural class of zeta integrals which arose from a program born in the work of Braverman and Kazhdan around the year 2000, the eventual goal being to prove the analytic continuation and functional equation of automorphic L-functions.

This book is a valuable resource for Graduate students and researchers interested in current techniques and methods within the theory of moments in linear positive operators and approximation theory.

This textbook offers an extensive list of completely solved problems in mathematical analysis.

This book, intended to commemorate the work of Paul Dirac, highlights new developments in the main directions of Clifford analysis.

This book offers a unified presentation of Fourier theory and corresponding algorithms emerging from new developments in function approximation using Fourier methods.