“…Featuring a wide range of subjects, including an overview of QK spaces, QK-Teichmüller spaces, K-Carleson measures and analysis of weight functions, this book serves as an important resource for analysts interested in this area of complex analysis. Notes, numerous exercises, and a comprehensive up-to-date bibliography provide an accessible entry to anyone with a standard graduate background in real and complex analysis.…”
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“…The use of complex analysis for computing one-loop scattering amplitudes is naturally induced by generalised unitarity-cut conditions, fulfilled by complex values of the loop variable. …”
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“…This is the first systematic presentation of the capacitory approach and symmetrization in the context of complex analysis. The content of the book is original – the main part has not been covered by existing textbooks and monographs. …”
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“…Volume III covers complex analysis and the theory of measure and integration"--…”
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“…The book is intended for all researchers in the fields of function theory, operator theory and complex analysis in one or several variables. The expository articles reflecting the current status of several well-established and very dynamical areas of research will be accessible and useful to advanced graduate students and young researchers in pure and applied mathematics, and also to engineers and physicists using complex analysis methods in their investigations.…”
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“…It is assumed that the reader has a basic knowledge of complex analysis at the undergraduate level. The book would make a fine supplementary text for a graduate-level course on complex analysis.…”
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“…An introduction to mathematical physics discusses the Curvilinear Coordinates, Vector Space, Matrices, Tensors, Beta Function, Gamma Function, Error Function, Dirac Delta Function, Green Function Method, Complex Analysis, Differential Equations, Bessel Function, Legendre Function, Laguerre Function, Hermite Function, Fourier Series, Fourier Transform and Laplace Transform. …”
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“…The book begins with a thorough introduction to complex analysis, which is then used to understand the properties of ordinary differential equations and their solutions. …”
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“…Completion of a standard one-year graduate complex analysis course will prepare the reader for understanding the book. …”
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“…They are surveys, meant to facilitate access to some of the many aspects of the theory of several complex variables, and demonstrate the interplay between complex analysis and many other branches of mathematics. …”
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“…This is followed by two expository course lectures (the second part) on recent topics in extremal Kähler metrics and value distribution theory, which will be helpful for graduate students in mathematics interested in new topics in complex geometry and complex analysis. Lastly, the third part of the volume collects authoritative research papers on differential geometry and complex analysis. …”
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“…The book will be of interest to a broad range of mathematicians, from graduate students to researchers, whose primary interests lie in operator theory, complex analysis and applications, as well as specialists in mathematical physics. .…”
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“…The major part of the book should therefore be accessible to graduate students so that it can serve as an introduction to complex analysis in one and several variables. The last sections, however, are written mainly for readers familiar with microlocal analysis.…”
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“…This monograph offers an introduction to finite Blaschke products and their connections to complex analysis, linear algebra, operator theory, matrix analysis, and other fields. …”
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“…For completeness, enough complex analysis is developed to prove the abundance of conformal maps in the plane. …”
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“…Develops the modern theory of symmetrization including applications to geometry, PDEs, and real and complex analysis.…”
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“…Created to describe phenomena in special relativity, electrodynamics, spin etc., it has developed into a body of material that interacts with many branches of mathematics, such as complex analysis, harmonic analysis, differential geometry, and differential equations. …”
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