{"product_id":"normal-families-and-normal-functions-peter-v-dovbush-9781032666365","title":"Normal Families and Normal Functions","description":"\u003cp\u003eThis book centers on normal families of holomorphic and meromorphic functions and also normal functions. The authors treat one complex variable, several complex variables, and infinitely many complex variables (i.e., Hilbert space).\u003c\/p\u003e\u003cp\u003eThe theory of normal families is more than 100 years old. It has played a seminal role in the function theory of complex variables. It was used in the first rigorous proof of the Riemann mapping theorem. It is used to study automorphism groups of domains, geometric analysis, and partial differential equations.\u003c\/p\u003e\u003cp\u003eThe theory of normal families led to the idea, in 1957, of normal functions as developed by Lehto and Virtanen. This is the natural class of functions for treating the Lindelof principle. The latter is a key idea in the boundary behavior of holomorphic functions.\u003c\/p\u003e\u003cp\u003eThis book treats normal families, normal functions, the Lindelof principle, and other related ideas. Both the analytic and the geometric approaches to the subject area are offered. The authors include many incisive examples.\u003c\/p\u003e\u003cp\u003eThe book could be used as the text for a graduate research seminar. It would also be useful reading for established researchers and for budding complex analysts.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Peter V. Dovbush, Steven G. Krantz\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1032666366\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781032666365\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e CRC Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 02\/27\/2024\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 260\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.22lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.63d","brand":"Peter V. Dovbush","offers":[{"title":"Hardcover","offer_id":46721417478399,"sku":"9781032666365","price":150.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_5ad1cf97-0a25-4d4e-b931-6a75dcf1f1b7.jpg?v=1742752809","url":"https:\/\/www.whiterainbookhouse.com\/products\/normal-families-and-normal-functions-peter-v-dovbush-9781032666365","provider":"WR Book House","version":"1.0","type":"link"}