Titlebook: Harmonic and Complex Analysis in Several Variables; Steven G. Krantz Book 2017 Springer International Publishing AG 2017 Finsler geometry.

古老

Introduction and Review, convergence results in the nature of Fatou theorems are proved..Part of the point here is for the student to see the nature of the onevariable techniques—techniques which do . generalize to several variables.

OPINE

cravat

The Heisenberg Group,olland, Stein laid all the groundwork for this study. In this chapter we reproduce and develop some of that groundwork. We contrast classical analysis on Euclidean space with the new analysis on the Heisenberg group..In particular we treat the noncommutativity of the Heisenberg group. We develop the

frenzy

Climate

Reproducing Kernels,Bergman kernel plaid a key role in the Fields-Medal-winning work of Charles Fefferman. Bergman’s kernel, metric, and representative coordinates continue to be areas of intense study..Here we introduce the reader to this circle of ideas, and especially to the multiple-variable theory.

hemoglobin

,More on the Bergman and Szegő Kernels,gman kernel, and various forms of the Bergman space..There are both canonical reproducing kernels and constructible reproducing kernels. These objects are quite different, but there are important connections between the two theories. We touch on those connections.

overweight

The Bergman Metric,ication, we give a new proof of the biholomorphic inequivalence of the ball and the polydisc..Certainly the Bergman metric was one of the very first Kähler metrics, and Kähler geometry is a very active area of modern mathematics. This chapter serves as an entree to these ideas.

TAP

lethal

Additional Analytic Topics,truct and analyze the worm domain, and comment on the Bergman theory on the worm. We look at situations in which the Bergman kernel and projection become pathological. We study the boundary behavior of the Bergman kernel..We present a famous example of David Barrett, and we explore the use of pluris

OATH