Harmonic Analysis And The Theory Of Probability

Description: Please refer to the section BELOW (and NOT ABOVE) this line for the product details - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Title:Harmonic Analysis And The Theory Of ProbabilityISBN13:9780486446202ISBN10:0486446204Author:Bochner, Salomon (Author)Description:Nineteenth-Century Studies Of Harmonic Analysis Were Closely Linked With The Work Of Joseph Fourier On The Theory Of Heat And With That Of P S Laplace On Probability During The 1920S, The Fourier Transform Developed Into One Of The Most Effective Tools Of Modern Probabilistic Research; Conversely, The Demands Of The Probability Theory Stimulated Further Research Into Harmonic Analysis Mathematician Salomon Bochner Wrote A Pair Of Landmark Books On The Subject In The 1930S And 40S In This Volume, Originally Published In 1955, He Adopts A More Probabilistic View And Emphasizes Stochastic Processes And The Interchange Of Stimuli Between Probability And Analysis Non-Probabilistic Topics Include Fourier Series And Integrals In Many Variables; The Bochner Integral; The Transforms Of Plancherel, Laplace, Poisson, And Mellin; Applications To Boundary Value Problems, To Dirichlet Series, And To Bessel Functions; And The Theory Of Completely Monotone Functions The Primary Significance Of This Text Lies In The Last Two Chapters, Which Offer A Systematic Presentation Of An Original Concept Developed By The Author And Partly By Lecam: Bochner's Characteristic Functional, A Fourier Transform On A Euclidean-Like Space Of Infinitely Many Dimensions The Characteristic Functional Plays A Role In Stochastic Processes Similar To Its Relationship With Numerical Random Variables, And Thus Constitutes An Important Part Of Progress In The Theory Of Stochastic Processes Binding:Paperback, PaperbackPublisher:DOVER PUBN INCPublication Date:2005-08-27Weight:0.44 lbsDimensions:0.39'' H x 8.46'' L x 5.52'' WNumber of Pages:176Language:English

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