{"product_id":"analysis-of-the-hodge-laplacian-on-the-heisenberg-group","title":"Analysis of the Hodge Laplacian on the Heisenberg Group","description":"\u003cp\u003eThe authors consider the Hodge Laplacian \\Delta on the Heisenberg group H_n, endowed with a left-invariant and U(n)-invariant Riemannian metric. For 0\\le k\\le 2n+1, let \\Delta_k denote the Hodge Laplacian restricted to k-forms. In this paper they address three main, related questions: (1) whether the L^2 and L^p-Hodge decompositions, 1\u003c\/p\u003e\u003cp hold on h_n whether the riesz transforms d are l for how to prove a sharp mihilin-h multiplier theorem k\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cb\u003eAuthor:\u003c\/b\u003e Detlef Muller, Marco M. Peloso, Fulvio Ricci\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003ePublisher:\u003c\/b\u003e American Mathematical Soc.\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003ePublished:\u003c\/b\u003e 2014-12-20\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003ePages:\u003c\/b\u003e 104\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"American Mathematical Soc.","offers":[{"title":"Default Title","offer_id":62808803279219,"sku":"9781470409395","price":200.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0987\/0812\/8115\/files\/content_3a611589-4e24-4b6a-8f95-ecd0d9983af4.jpg?v=1777973631","url":"https:\/\/readaura.store\/products\/analysis-of-the-hodge-laplacian-on-the-heisenberg-group","provider":"Read Aura","version":"1.0","type":"link"}