Complex analysis, complex variables

This book presents applications of hypercomplex analysis to boundary value and initial-boundary value problems from various areas of mathematical physics.

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The conjugate operator method is a powerful recently developed technique for studying spectral properties of self-adjoint operators.

The book begins at the level of an undergraduate student assuming only basic knowledge of calculus in one variable.

This volume consists of twenty peer-reviewed papers from the special session on pseudodifferential operators and the special session on generalized functions and asymptotics at the Eighth Congress of ISAAC held at the Peoples' Friendship University of Russia in Moscow on August 22-27, 2011.

The book demonstrates the development of integral geometry on domains of homogeneous spaces since 1990.

This book deals with the constructive Weierstrassian approach to the theory of function spaces and various applications.

Special functions enable us to formulate a scientific problem by reduction such that a new, more concrete problem can be attacked within a well-structured framework, usually in the context of differential equations.

This book provides an accessible introduction to the theory of variable Lebesgue spaces.

Harmonic maps between Riemannian manifolds were first established by James Eells and Joseph H.

This volume is dedicated to Professor Stefan Samko on the occasion of his seventieth birthday.

This monograph lays down the foundations of the theory of complex Kleinian groups, a newly born area of mathematics whose origin traces back to the work of Riemann, Poincare, Picard and many others.

The origins of Schur analysis lie in a 1917 article by Issai Schur in which he constructed a numerical sequence to correspond to a holomorphic contractive function on the unit disk.

This book contains survey papers based on the lectures presented at the 3rd International Winter School "e;Modern Problems of Mathematics and Mechanics"e; held in January 2010 at the Belarusian State University, Minsk.

This volume is dedicated to Bill Helton on the occasion of his sixty fifth birthday.

This volume contains twenty-one solicited articles by speakers at the IWOTA 2009 workshop, ranging from expository surveys to original research papers, each carefully refereed.

This book is dedicated to the memory of Israel Gohberg (1928-2009) - one of the great mathematicians of our time - who inspired innumerable fellow mathematicians and directed many students.

This book provides a systematic introduction to functions of one complex variable.

Dies ist ein neues Lehrbuch über Funktionentheorie, konzipiert als begleitender Text für eine einsemestrige einführende Vorlesung auf diesem Gebiet.

This textbook presents basic notions and techniques of Fourier analysis in discrete settings.

Linearization models for discrete and continuous time dynamical systems are the driving forces for modern geometric function theory and composition operator theory on function spaces.

Real quaternion analysis is a multi-faceted subject.

This is a collection of exercises in the theory of analytic functions, with completed and detailed solutions.

The purpose of the volume is to bring forward recent trends of research in hypercomplex analysis.

If H is a Hilbert space and T : H ?

Pseudoanalytic function theory generalizes and preserves many crucial features of complex analytic function theory.

This book presents and details the process of quantization of a classical mechanical system in a relevant physical system, the harmonic oscillator.

This book discusses, develops and applies the theory of Vilenkin-Fourier series connected to modern harmonic analysis.

This monograph studies decompositions of the Jacobian of a smooth projective curve, induced by the action of a finite group, into a product of abelian subvarieties.

This book describes the Hamilton-Jacobi formalism of quantum mechanics, which allowscomputation of eigenvalues of quantum mechanical potential problems without solving for thewave function.

This contributed volume showcases the most significant results obtained from the DFG Priority Program on Compressed Sensing in Information Processing.

This book surveys the foundations of the theory of slice regular functions over the quaternions, introduced in 2006, and gives an overview of its generalizations and applications.

This monograph provides a comprehensive introduction to the theory of complex normal surface singularities, with a special emphasis on connections to low-dimensional topology.

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.

This proceedings volume gathers selected, peer-reviewed papers presented at the 41st International Conference on Infinite Dimensional Analysis, Quantum Probability and Related Topics (QP41) that was virtually held at the United Arab Emirates University (UAEU) in Al Ain, Abu Dhabi, from March 28th to April 1st, 2021.

This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes.

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This volume includes the main contributions by the plenary speakers from the ISAAC congress held in Aveiro, Portugal, in 2019.

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

This contributed volume provides an extensive account of research and expository papers in a broad domain of mathematical analysis and its various applications to a multitude of fields.

This book highlights a number of recent research advances in the field of symplectic and contact geometry and topology, and related areas in low-dimensional topology.

This book provides a concise survey of the theory of zero product-determined algebras, which has been developed over the last 15 years.

This book collects a series of important works on noncommutative harmonic analysis on homogeneous spaces and related topics.

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

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

This volume presents selected contributions from experts gathered at Chapman University for a conference held in November 2019 on new directions in function theory.

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