This book aims both to synthesize much of undergraduate mathematics and to introduce research topics in geometric aspects of complex analysis in several variables. The topics all relate to orthogonality, real analysis, elementary complex variables, and linear algebra. I call the blend Hermitian analysis. The book developed from my teaching experiences over the years and specifically from Mat…
No Inv.: 319-321/BLN/Perp/91/3c
This text provides a masterful and systematic treatment of all the basic analytic and geometric aspects of Bergman's classic theory of the kernel and its invariance properties. These include calculation, invariance properties, boundary asymptotics, and asymptotic expansion of the Bergman kernel and metric. Moreover, it presents a unique compendium of results with applications to function theory…