Several questions in complex analysis lead naturally to the study of bihomogeneous polynomials r(z, z̄) on ℂn × ℂn for which r(z, z̄) ∥z∥2d = ∥h(z)∥2 for some natural number d and a holomorphic ...

In a recent study, mathematicians from Freie Universität Berlin have demonstrated that planar tiling, or tessellation, is much more than a way to create a pretty pattern. Consisting of a surface ...

Bergman theory forms a cornerstone of complex analysis in several variables by providing a framework in which holomorphic functions may be studied through intrinsic reproducing kernel methods. Central ...

Section 1.1 (Page 4): 3,4, 5(a),6(b),7(c)8-16,18,22-23. Turn in: 22,23 Section 1.2 (Page 12): 3-5, 7(a)-(d), 8-11,13-14. Turn in: 7,13 Section 1.3 (Page 22): 2,5,6, 7 ...