ABSTRACT

Let us take a new look at the Laplacian on the disc in D   ⊆   ℂ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203744345/e5fae0ab-9384-4a8e-854f-7e2f919c097c/content/eq1207.tif"/> . Recall that, for |a| < 1, a   ∈   ℂ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203744345/e5fae0ab-9384-4a8e-854f-7e2f919c097c/content/eq1208.tif"/> , the function ϕ a ( ζ )   =   ζ   −   a 1   −   a ¯ ζ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203744345/e5fae0ab-9384-4a8e-854f-7e2f919c097c/content/eq1209.tif"/>