A companion volume to the text "Complex Variables: An Introduction" by
the same authors, this book further develops the theory, continuing to
emphasize the role that the Cauchy-Riemann equation plays in modern
complex analysis. Topics considered include: Boundary values of
holomorphic functions in the sense of distributions; interpolation
problems and ideal theory in algebras of entire functions with growth
conditions; exponential polynomials; the G transform and the unifying
role it plays in complex analysis and transcendental number theory;
summation methods; and the theorem of L. Schwarz concerning the
solutions of a homogeneous convolution equation on the real line and its
applications in harmonic function theory.