This book provides an introduction to complex analysis in several
variables. The viewpoint of integral representation theory together
with Grauert's bumping method offers a natural extension of single
variable techniques to several variables analysis and leads rapidly
to important global results. Applications focus on global extension
problems for CR functions, such as the Hartogs-Bochner phenomenon
and removable singularities for CR functions. Three appendices on
differential manifolds, sheaf theory and functional analysis make
the book self-contained. Each chapter begins with a detailed
abstract, clearly demonstrating the structure and relations of
following chapters. New concepts are clearly defined and theorems
and propositions are proved in detail. Historical notes are also
provided at the end of each chapter. Clear and succinct, this book
will appeal to post-graduate students, young researchers seeking an
introduction to holomorphic function theory in several variables
and lecturers seeking a concise book on the subject.
General
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