{"product_id":"9780080532073","title":"Functional Inequalities Markov Semigroups and Spectral Theory","description":"In this book, the functional inequalities are introduced to describe:\u003cbr\u003e(i) the spectrum of the generator: the essential and discrete spectrums, high order eigenvalues, the principle eigenvalue, and the spectral gap;\u003cbr\u003e(ii) the semigroup properties: the uniform intergrability, the compactness, the convergence rate, and the existence of density;\u003cbr\u003e(iii) the reference measure and the intrinsic metric: the concentration, the isoperimetic inequality, and the transportation cost inequality.","brand":"Elsevier Science","offers":[{"title":"Default Title","offer_id":47077119328496,"sku":"9780080532073","price":126.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9780080532073_p0.jpg?v=1763637484","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9780080532073","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}