TY - BOOK ID - 15994468 TI - Harmonic Analysis PY - 2010 SN - 9386279479 9380250053 PB - Gurgaon : Hindustan Book Agency : Imprint: Hindustan Book Agency, DB - UniCat KW - Mathematics. KW - Mathematics, general. KW - Harmonic analysis. KW - Math KW - Analysis (Mathematics) KW - Functions, Potential KW - Potential functions KW - Banach algebras KW - Calculus KW - Mathematical analysis KW - Mathematics KW - Bessel functions KW - Fourier series KW - Harmonic functions KW - Time-series analysis KW - Science UR - https://www.unicat.be/uniCat?func=search&query=sysid:15994468 AB - This second edition has been enlarged and considerably rewritten. Among the new topics are infinite product spaces with applications to probability, disintegration of measures on product spaces, positive definite functions on the line, and additional information about Weyl's theorems on equidistribution. Topics that have continued from the first edition include Minkowski's theorem, measures with bounded powers, idempotent measures, spectral sets of bounded functions and a theorem of Szego, and the Wiener Tauberian theorem. Readers of the book should have studied the Lebesgue integral, the elementary theory of analytic and harmonic functions, and the basic theory of Banach spaces. The treatment is classical and as simple as possible. This is an instructional book, not a treatise. Mathematics students interested in analysis will find here what they need to know about Fourier analysis. Physicists and others can use the book as a reference for more advanced topics. ER -