MARC Record from marc_columbia

LEADER: 04119fam a2200409 a 4500
001 1736279
005 20220608223148.0
008 950502t19961996nyu b 001 0 eng
010 $a 95018944
020 $a0471033731 (cloth : alk. paper)
035 $a(OCoLC)32545722
035 $a(OCoLC)ocm32545722
035 $9ALE5040CU
035 $a(NNC)1736279
035 $a1736279
040 $aDLC$cDLC$dDLC$dOrLoB-B
050 00 $aQA432$b.P335 1996
082 00 $a515/.782$220
100 1 $aPandey, J. N.$0http://id.loc.gov/authorities/names/n86000662
245 14 $aThe Hilbert transform of Schwartz distributions and applications /$cJ.N. Pandey.
260 $aNew York :$bJohn Wiley,$c[1996], ©1996.
300 $axvi, 262 pages ;$c24 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aPure and applied mathematics
504 $aIncludes bibliographical references (p. 249-253) and indexes.
505 00 $g1.$tSome Background --$g2.$tThe Riemann-Hilbert Problem --$g3.$tThe Hilbert Transform of Distributions in [actual symbol not reproducible] --$g4.$tThe Hilbert Transform of Schwartz Distributions --$g5.$tn-Dimensional Hilbert Transform --$g6.$tFurther Applications of the Hilbert Transform, the Hilbert Problem - A Distributional Approach --$g7.$tPeriodic Distributions, Their Hilbert Transform and Applications.
520 $aThis book provides a modern and up-to-date treatment of the Hilbert transform of distributions and the space of periodic distributions. Taking a simple and effective approach to a complex subject, this volume is a first-rate textbook at the graduate level as well as an extremely useful reference for mathematicians, applied scientists, and engineers.
520 8 $aThe author, a leading authority in the field, shares with the reader many new results from his exhaustive research on the Hilbert transform of Schwartz distributions. He describes in detail how to use the Hilbert transform to solve theoretical and physical problems in a wide range of disciplines; these include aerofoil problems, dispersion relations, high-energy physics, potential theory problems, and others.
520 8 $aInnovative at every step, J. N. Pandey provides a new definition for the Hilbert transform of periodic functions, which is especially useful for those working in the area of signal processing for computational purposes. This definition could also form the basis for a unified theory of the Hilbert transform of periodic, as well as nonperiodic, functions.
520 8 $aThe Hilbert transform and the approximate Hilbert transform of periodic functions are worked out in detail for the first time in book form and can be used to solve Laplace's equation with periodic boundary conditions. Among the many theoretical results proved in this book is a Paley-Wiener type theorem giving the characterization of functions and generalized functions whose Fourier transforms are supported in certain orthants of R[superscript n].
520 8 $aPlacing a strong emphasis on easy application of theory and techniques, the book generalizes the Hilbert problem in higher dimensions and solves it in function spaces as well as in generalized function spaces. It simplifies the one-dimensional transform of distributions; provides solutions to the distributional Hilbert problems and singular integral equations; and covers the intrinsic definition of the testing function spaces and its topology.
520 8 $aThe book incudes exercises and review material for all major topics, and incorporates classical and distributional problems into the main text. Thorough and accessible, it explores new ways to use this important integral transform, and reinforces its value in both mathematical research and applied science.
650 0 $aHilbert transform.$0http://id.loc.gov/authorities/subjects/sh95003535
650 0 $aSchwartz distributions.$0http://id.loc.gov/authorities/subjects/sh95003538
830 0 $aPure and applied mathematics (John Wiley & Sons : Unnumbered)$0http://id.loc.gov/authorities/names/n42745140
852 00 $bmat$hQA432$i.P335 1996