{"product_id":"9781119712138","title":"A Bridge Between Lie Theory and Frame Theory Applications of Lie Theory to Harmonic Analysis","description":"\u003ch1\u003eA Bridge Between Lie Theory and Frame Theory\u003c\/h1\u003e\u003ch2\u003eApplications of Lie Theory to Harmonic Analysis\u003c\/h2\u003e\u003ch3\u003eVignon Oussa\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Applied\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\n\u003cp\u003e\u003cb\u003eComprehensive textbook examining meaningful connections between the subjects of Lie theory, differential geometry, and signal analysis\u003c\/b\u003e \u003c\/p\u003e\n\u003cp\u003e\u003ci\u003eA Bridge Between Lie Theory and Frame Theory\u003c\/i\u003e serves as a bridge between the areas of Lie theory, differential geometry, and frame theory, illustrating applications in the context of signal analysis with concrete examples and images. \u003c\/p\u003e\n\u003cp\u003eThe first part of the book gives an in-depth, comprehensive, and self-contained exposition of differential geometry, Lie theory, representation theory, and frame theory. The second part of the book uses the theories established in the early part of the text to characterize a class of representations of Lie groups, which can be discretized to construct frames and other basis-like systems. For instance, Lie groups with frames of translates, sampling, and interpolation spaces on Lie groups are characterized. \u003c\/p\u003e\n\u003cp\u003e\u003ci\u003eA Bridge Between Lie Theory and Frame Theory\u003c\/i\u003e includes discussion on: \u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eNovel constructions of frames possessing additional desired features such as boundedness, compact support, continuity, fast decay, and smoothness, motivated by applications in signal analysis\u003c\/li\u003e\n\u003cli\u003eNecessary technical tools required to study the discretization problem of representations at a deep level\u003c\/li\u003e\n\u003cli\u003eOngoing dynamic research problems in frame theory, wavelet theory, time frequency analysis, and other related branches of harmonic analysis\u003c\/li\u003e\n\u003c\/ul\u003e \u003cp\u003e\u003ci\u003eA Bridge Between Lie Theory and Frame Theory\u003c\/i\u003e is an essential learning resource for graduate students, applied mathematicians, and scientists who are looking for a rigorous and complete introduction to the covered subjects.\u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003e  \u003cp\u003e\u003cb\u003eVignon Oussa, PhD,\u003c\/b\u003e is Professor of Mathematics at Bridgewater State University in Bridgewater, MA, USA. Dr. Oussa received his PhD in Mathematics from Saint Louis University. His areas of specialty are harmonic analysis, Lie theory, and representation theory. He is the winner of the 2014–2015 Bridgewater State University Distinguished Faculty Research Award. \u003c\/p\u003e\n\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e26 February 2025\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eWiley\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eWiley\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9781119712138\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003eHardback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePage Count: \u003c\/td\u003e\n\u003ctd\u003e384\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eWeight (oz): \u003c\/td\u003e\n\u003ctd\u003e28.0\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":44384861749388,"sku":"9781119712138","price":120.56,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781119712138_e82af43a-41d9-4d84-a74e-cb36b7e745a2.jpg?v=1780194116","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9781119712138","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}