{"product_id":"new-constructions-of-functions-holomorphic-in-th-regional-conference-9780821807132","title":"New Constructions of Functions Holomorphic in th  Regional Conference","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eUses as a starting point A B Aleksandrov's proof that nonconstant inner functions exist in the unit ball $B$ of $C^n$. This title simplifies the construction of such functions by using certain homogeneous polynomials discovered by Ryll and Wojtaszczyk; this yields solutions to a large number of problems.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eThe pathology of inner functions $RW$-sequences Approximation by $E$-polynomials The existence of inner functions Radial limits and singular measures $E$-functions in the Smirnov class Almost semicontinuous functions and $\\tilde{A}(B)$ $|u+vf|$ Approximation in $L^{1\/2}$ The $L^1$-modification theorem Approximation by inner functions The LSC property of $H^\\infty$ Max-sets and nonapproximation theorems Inner maps A Lusin-type theorem for $A(B)$ Continuity on open sets of full measure Composition with inner functions The closure of $A(B)$ in $(LH)^p(B)$ Open problems Appendix I. Bounded bases in $H^2(B)$ Appendix II. RW-sequences revisited References.","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":53515504222551,"sku":"9780821807132","price":30.35,"currency_code":"GBP","in_stock":true}],"url":"https:\/\/bookcurl.com\/products\/new-constructions-of-functions-holomorphic-in-th-regional-conference-9780821807132","provider":"Book Curl","version":"1.0","type":"link"}