{"product_id":"9781119712138-a-bridge-between-lie-theory-and-frame-t","title":"A Bridge Between Lie Theory and Frame Theory","description":"\u003cmeta content=\"text\/html; charset=utf-8\" http-equiv=\"Content-Type\"\u003e\u003cp\u003e\u003cspan\u003eApplications of Lie Theory to Harmonic Analysis\u003cbr\u003e\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\u003cbr\u003e\u003cbr\u003e\u003c\/span\u003e\u003c\/p\u003e","brand":"Rarewaves","offers":[{"title":"Default Title","offer_id":55532750111094,"sku":"9781119712138","price":110.16,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0092\/7504\/8033\/files\/stand_34001895_a77f854a-70f6-488d-8637-4a44bc8a46b6.jpg?v=1746075541","url":"https:\/\/www.rarewaves.com\/products\/9781119712138-a-bridge-between-lie-theory-and-frame-t","provider":"Rarewaves.com","version":"1.0","type":"link"}