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By G. M. Khenkin, A. G. Vitushkin

This quantity of the Encyclopaedia includes 4 elements every one of which being an informative survey of a subject matter within the box of numerous advanced variables. the 1st bargains with residue thought and its purposes to integrals looking on parameters, combinatorial sums and platforms of algebraic equations. the second one half comprises contemporary ends up in advanced capability conception and the 3rd half treats functionality idea within the unit ball overlaying examine of the final 20 years. The latter half comprises an updated account of study concerning a listing of difficulties, which used to be released by means of Rudin in 1980. The final a part of the ebook treats complicated research sooner or later tube. the longer term tube is a vital notion in mathematical physics, specially in axiomatic quantum box concept, and it really is concerning Penrose's paintings on "the advanced geometry of the genuine world". Researchers and graduate scholars in complicated research and mathematical physics will use this booklet as a reference and as a advisor to interesting components of analysis.

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