01982nam a22003495a 4500001001100000003001200011005001700023006001900040007001500059008004100074020001800115024002100133040001400154072001700168084002200185100002800207245009200235260008200327300003400409336002600443337002600469338003600495347002400531490006100555506006500616520075500681650003201436650002901468650002601497856003201523856007701555241-181122CH-001817-320181122233002.0a fot ||| 0|cr nn mmmmamaa181122e20190131sz fot ||| 0|eng d a978303719695370a10.4171/1952doi ach0018173 7aPBKG2bicssc a46-xxa42-xx2msc1 aTriebel, Hans,eauthor.10aFunction Spaces with Dominating Mixed Smoothnessh[electronic resource] /cHans Triebel3 aZuerich, Switzerland :bEuropean Mathematical Society Publishing House,c2019 a1 online resource (210 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda0 aEMS Series of Lectures in Mathematics (ELM) ;x2523-51761 aRestricted to subscribers:uhttp://www.ems-ph.org/ebooks.php aThe first part of this book is devoted to function spaces in Euclidean \$n\$-space with dominating mixed smoothness. Some new properties are derived and applied in the second part where weighted spaces with dominating mixed smoothness in arbitrary bounded domains in Euclidean \$n\$-space are introduced and studied. This includes wavelet frames, numerical integration and discrepancy, measuring the deviation of sets of points from uniformity. These notes are addressed to graduate students and mathematicians having a working knowledge of basic elements of the theory of function spaces, especially of Besovâ€“Sobolev type. In particular, it will be of interest for researchers dealing with approximation theory, numerical integration and discrepancy.07aFunctional analysis2bicssc07aFunctional analysis2msc07aFourier analysis2msc40uhttps://doi.org/10.4171/195423cover imageuhttp://www.ems-ph.org/img/books/triebel_smoothness_mini.jpg