02446cam  2200397 i 450000100090000000300050000900500170001400600190003100700150005000800410006502000270010604000340013305000210016708200170018810000370020524501340024226400710037630000370044733600260048433700280051033800270053849000740056550000660063950400550070550507300076050600500149053300950154053800360163558800470167165000230171870000310174170000350177277601490180785600440195685600480200018272363RPAM20170613145044.0m      b    000 0 cr/|||||||||||170613s2015    riu     ob    000 0 eng    a9781470419639 (online)  aDLCbengcDLCerdadDLCdRPAM00aQA403b.M85 201500a515/.7852231 aMčuller, Detlef,d1954-eauthor.10aAnalysis of the Hodge Laplacian on the Heisenberg group /h[electronic resource] cDetlef Mčuller, Marco M. Peloso, Fulvio Ricci. 1aProvidence, Rhode Island :bAmerican Mathematical Society,c[2015]  a1 online resource (vi, 91 pages)  atextbtxt2rdacontent  aunmediatedbn2rdamedia  avolumebnc2rdacarrier0 aMemoirs of the American Mathematical Society, x1947-6221 ; vv. 1095  a"January 2015, volume 233, number 1095 (first of 6 numbers)."  aIncludes bibliographical references (pages 89-91).00tIntroductiontChapter 1. Differential forms and the Hodge Laplacian on $H_n$tChapter 2. Bargmann representations and sections of homogeneous bundlestChapter 3. Cores, domains and self-adjoint extensionstChapter 4. First properties of $\Delta _k$; exact and closed formstChapter 5. A decomposition of $L^2\Lambda _H^k$ related to the $\partial $ and $\bar \partial $ complexestChapter 6. Intertwining operators and different scalar forms for $\Delta _k$tChapter 7. Unitary intertwining operators and projectionstChapter 8. Decomposition of $L^2\Lambda ^k$tChapter 9. $L^p$-multiplierstChapter 10. Decomposition of $L^p\Lambda ^k$ and boundedness of the Riesz transformstChapter 11. ApplicationstChapter 12. Appendix1 aAccess is restricted to licensed institutions  aElectronic reproduction.bProvidence, Rhode Island :cAmerican Mathematical Society.d2015  aMode of access : World Wide Web  aDescription based on print version record. 0aHarmonic analysis.1 aPeloso, Marco M.,eauthor.1 aRicci, Fulvio,d1948-eauthor.0 iPrint version: aMčuller, Detlef, 1954-tAnalysis of the Hodge Laplacian on the Heisenberg group /w(DLC)   2014033061x0065-9266z97814704093954 3Contentsuhttp://www.ams.org/memo/1095/4 3Contentsuhttps://doi.org/10.1090/memo/1095