ABSTRACT

Let dA denote the Lebesgue measure on the open unit disk D https://s3-euw1-ap-pe-df-pch-content-public-u.s3.eu-west-1.amazonaws.com/9781351045551/4730f38a-3e35-40e9-9674-aa9748370ac3/content/eq3078.tif"/> in the complex plane ℂ, normalized so that the measure of the disk D https://s3-euw1-ap-pe-df-pch-content-public-u.s3.eu-west-1.amazonaws.com/9781351045551/4730f38a-3e35-40e9-9674-aa9748370ac3/content/eq3079.tif"/> is 1. The complex space L 2( D https://s3-euw1-ap-pe-df-pch-content-public-u.s3.eu-west-1.amazonaws.com/9781351045551/4730f38a-3e35-40e9-9674-aa9748370ac3/content/eq3080.tif"/> , dA) is a Hilbert space with the inner product 〈 f , g 〉 = ∫ D f ( z ) g ( z ) ¯ d A ( z ) . https://s3-euw1-ap-pe-df-pch-content-public-u.s3.eu-west-1.amazonaws.com/9781351045551/4730f38a-3e35-40e9-9674-aa9748370ac3/content/eq3081.tif"/>