{"product_id":"9789819588473","title":"Functional Analysis with a Historical Perspective Select Topics","description":"\u003ch3\u003eUniversity Texts in the Mathematical Sciences\u003c\/h3\u003e\u003ch1\u003eFunctional Analysis with a Historical Perspective\u003c\/h1\u003e\u003ch2\u003eSelect Topics\u003c\/h2\u003e\u003ch3\u003eK. Parthasarathy\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Functional Analysis\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\u003cp\u003eThe basic topics of the subject that every analyst should know are discussed in the first volume. This second part ‘Select Topics’ provides glimpses of some beautiful vistas of the functional analytic terrain that a reader may like to explore and enjoy. Introductions to these topics, including those of current interest, with pointers to further edification are provided. An author, with various constraints, necessarily faces a Hamletian dilemma in choosing the topics for such a work. The choices made here are: a little Fourier analysis (Lp, Schwartz and Sobolev spaces, Fourier transform and tempered distributions, interpolation, spectral synthesis), some operator theory (compact, Hilbert-Schmidt, trace class, Fredholm and Toeplitz operators, spectral theorem, invariant subpaces), operator algebras (commutative Banach algebras, C∗algebras, von Neumann algebras and operator spaces), Gabor analysis (Hilbert frames, Gabor frames, Riesz bases, wavelets), Banach space geometry, Schauder bases and functional analytic methods in PDE (scattered throughout the book). It also gives some unusual applications. Several mini courses and projects are possible based on the book, besides an advanced course in Functional Analysis. A historical perspective blending harmoniously with the flow, a clear succinct style that is not terse nor verbose and biographic thumbnails continue. The bibliography is extensive and includes all original sources.\u003c\/p\u003e\u003c\/div\u003e\u003cdiv\u003e\u003cp\u003eK.Parthasarathy is a former Director and Head, Ramanujan Institute for Advanced Study in Mathematics, University of Madras. He had his school and college education in Madras (now Chennai) and got his doctoral degree from the Indian Institute of Technology, Kanpur. \u003cbr\u003eAbstract harmonic analysis and frame theory are his research interests and he has published a number of research papers on these. He had taught several subjects - algebra, algebraic topology, algebraic number theory, topology, differential geometry, differential equations, Lie algebras - besides all aspects of analysis for over three decades. He had been advisor for several doctoral students. He is a reviewer for many research journals and for Mathematical Reviews and zbMATH.  His highly acclaimed book Topology, an invitation ,\u003cbr\u003ewas published by Springer (2022) .\u003c\/p\u003e\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e11 December 2026\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eSpringer Nature Singapore\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eSpringer\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9789819588473\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\u003e340\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Springer Nature Singapore","offers":[{"title":"Default Title","offer_id":46313881763980,"sku":"9789819588473","price":58.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9789819588473.jpg?v=1780601825","url":"https:\/\/lateknightbooks.com\/products\/9789819588473","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}