03565cam  2200517 i 450000100090000000300050000900500170001400600190003100700150005000800410006502000270010604000340013305000210016708200180018808400640020610000440027024500960031426401410041030000540055133600260060533700280063133800270065949000750068650000520076150001560081350400510096950504160102050600500143653300950148653800360158158800470161765000230166465000740168765001600176165001460192165001800206765001240224765001400237165001190251165001190263071000510274971000390280077601180283985600430295785600470300020600528RPAM20210728143119.0aa     b    001 0 cr/|||||||||||210728t20182018riua    ob    001 0 eng    a9781470449780 (online)  aDLCbengcDLCerdadDLCdRPAM00aQA403b.J67 201800a515/.2433223  a28A80a81Q35a11K70a60J70a42C40a60G22a37A45a42B372msc1 aJērgensen, Palle E. T.,d1947-eauthor.10aHarmonic analysis :h[electronic resource] bsmooth and non-smooth /cPalle E.T. Jorgensen. 1aProvidence, Rhode Island :bPublished for the Conference Board of the Mathematical Sciences by the American Mathematical Society,c2018.  a1 online resource (xi, 266 pages : illustrations)  atextbtxt2rdacontent  aunmediatedbn2rdamedia  avolumebnc2rdacarrier0 aCBMS Regional Conference Series in Mathematics, x2380-5668 ; vv. 128  a"Support from the National Science Foundation."  a"NSF-CBMS Regional Conference in the Mathematical Sciences on Harmonic Analysis: Smooth and Non-Smooth, held at Iowa State University, June 4-8, 2018."  aIncludes bibliographical references and index.00tIntroduction. Smooth vs the non-smooth categoriestSpectral pair analysis for IFSstHarmonic analyses on fractals, with an emphasis on iterated function systems (IFS) measurestFour kinds of harmonic analysistHarmonic analysis via representations of the Cuntz relationst$\textit { Positive definite functions }$ and kernel analysistRepresentations of $\textit {Lie groups}$. Non-commutative harmonic analysis1 aAccess is restricted to licensed institutions  aElectronic reproduction.bProvidence, Rhode Island :cAmerican Mathematical Society.d2018  aMode of access : World Wide Web  aDescription based on print version record. 0aHarmonic analysis. 7aMeasure and integration -- Classical measure theory -- Fractals.2msc 7aQuantum theory -- General mathematical topics and methods in quantum theory -- Quantum mechanics on special spaces: manifolds, fractals, graphs, etc..2msc 7aNumber theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Harmonic analysis and almost periodicity.2msc 7aProbability theory and stochastic processes -- Markov processes -- Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.).2msc 7aHarmonic analysis on Euclidean spaces -- Nontrigonometric harmonic analysis -- Wavelets and other special systems.2msc 7aProbability theory and stochastic processes -- Stochastic processes -- Fractional processes, including fractional Brownian motion.2msc 7aDynamical systems and ergodic theory -- Ergodic theory -- Relations with number theory and harmonic analysis.2msc 7aHarmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Harmonic analysis and PDE.2msc2 aConference Board of the Mathematical Sciences.2 aNational Science Foundation (U.S.)0 iPrint version: aJērgensen, Palle E. T., 1947-tHarmonic analysis :w(DLC)   2018030996x0160-7642z97814704488064 3Contentsuhttps://www.ams.org/cbms/1284 3Contentsuhttps://doi.org/10.1090/cbms/128