{"product_id":"harmonic-analysis-and-the-theory-of-probability-dover-books-on-mathematics","title":"Harmonic Analysis and the Theory of Probability (Dover Books on Mathematics)","description":"\u003ch3\u003eBook Details\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eAuthor\u003c\/strong\u003e: Salomon Bochner\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003ePublisher\u003c\/strong\u003e: Dover\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eBinding\u003c\/strong\u003e: Paperback\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eFormat\u003c\/strong\u003e: Import\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eNumber of Pages\u003c\/strong\u003e: 192\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eRelease Date\u003c\/strong\u003e: 27-08-2005\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eISBN\u003c\/strong\u003e: 9780486446202\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003ePackage Dimensions\u003c\/strong\u003e: 8.5 x 5.4 x 0.6 inches\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eLanguages\u003c\/strong\u003e: English\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003chr\u003e\n\u003ch3\u003eAbout the Book\u003c\/h3\u003e\n\u003cp\u003eIn this classic volume, \u003cstrong\u003eSalomon Bochner\u003c\/strong\u003e explores the intersection of harmonic analysis and probability theory. Initially published in 1955, the book reflects Bochner's shift toward a more probabilistic perspective on harmonic analysis. The work is deeply rooted in the legacy of \u003cstrong\u003eJoseph Fourier\u003c\/strong\u003e and \u003cstrong\u003eP.S. Laplace\u003c\/strong\u003e, whose studies of heat theory and probability, respectively, laid the foundation for much of the development in harmonic analysis.\u003c\/p\u003e\n\u003cp\u003eThe book covers essential topics such as:\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eFourier Series and Integrals in Multiple Variables\u003c\/strong\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eThe Bochner Integral\u003c\/strong\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eTransforms of Plancherel, Laplace, Poisson, and Mellin\u003c\/strong\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eApplications to Boundary Value Problems and Dirichlet Series\u003c\/strong\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eBessel Functions and Completely Monotone Functions\u003c\/strong\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003eIn particular, the last two chapters introduce Bochner's \u003cstrong\u003echaracteristic functional\u003c\/strong\u003e, a key concept that connects Fourier transforms with \u003cstrong\u003eEuclidean-like spaces\u003c\/strong\u003e of infinitely many dimensions. This concept is crucial in the study of \u003cstrong\u003estochastic processes\u003c\/strong\u003e and plays a role analogous to that of Fourier transforms in the analysis of numerical random variables.\u003c\/p\u003e\n\u003cp\u003eThis volume is especially valuable for advanced students and researchers in \u003cstrong\u003eprobability theory\u003c\/strong\u003e, \u003cstrong\u003emathematical analysis\u003c\/strong\u003e, and \u003cstrong\u003estochastic processes\u003c\/strong\u003e, offering both theoretical insights and practical applications in a variety of fields including \u003cstrong\u003eboundary value problems\u003c\/strong\u003e and \u003cstrong\u003erandom variables\u003c\/strong\u003e.\u003c\/p\u003e\n\u003chr\u003e\n\u003ch3\u003eAbout the Author\u003c\/h3\u003e\n\u003cp\u003e\u003cstrong\u003eSalomon Bochner\u003c\/strong\u003e was a prominent mathematician known for his contributions to harmonic analysis and probability theory. His work, especially during the 1930s and 40s, had a profound impact on the development of \u003cstrong\u003eFourier analysis\u003c\/strong\u003e and its applications to \u003cstrong\u003estochastic processes\u003c\/strong\u003e. Bochner's exploration of the \u003cstrong\u003eBochner integral\u003c\/strong\u003e and the \u003cstrong\u003echaracteristic functional\u003c\/strong\u003e remains influential in both mathematics and its applied fields.\u003c\/p\u003e","brand":"Dover","offers":[{"title":"Default Title","offer_id":49942010429744,"sku":"Sarat_9780486446202","price":826.0,"currency_code":"INR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0690\/9968\/4144\/files\/dover-book-default-title-harmonic-analysis-and-the-theory-of-probability-dover-books-on-mathematics-41292091228464.jpg?v=1775948833","url":"https:\/\/www.retailmaharaj.com\/bn\/products\/harmonic-analysis-and-the-theory-of-probability-dover-books-on-mathematics","provider":"Retail Maharaj","version":"1.0","type":"link"}