Publication Cover
Applicable Analysis
An International Journal
Volume 20, 1985 - Issue 3-4
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Original Articles

Generalized n-dimensional hilbert transform and applications

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Pages 221-235 | Received 10 Feb 1985, Published online: 20 Jan 2011

References

  • Akhiezer , N.I. and Glazman , I.M. 1963 . Theory of Linear Operators in Hilbert Spaces , Vol. 1 , New York : Ungar .
  • Beltrami , E.J. and Wholers , M.R. 1965 . Distributional boundary value theorems and Hilbert transform . Arch. Rational Mech. Anal , 18 : 304 – 309 .
  • Bremermann , H.J. 1965 . Distributions, Complex Variables and Fourier Transforms , Addison Wesley .
  • 1961 . 0n analytic continuation, multiplication and Fourier transformations of Schwartz distributions . J. Math. Fhys , 2 : 240 – 250 .
  • Butzer , P.L. and Trebels , W. 1968 . Hilbert transforms, fractional integration and differentiations . Bull. Amer. Math, Soc , 74 : 106 – 110 .
  • Calderon , A.P. 1950 . Singular Integrals . Bull. Amer. Math. Soc , 72 : 427 – 465 .
  • Calderon , A.P. and Zygmund , A. 1956 . On Singular Integrals . Amer. J. Math , 78 : 289 – 309 .
  • Cotlar , M. 1956 . A unified theory of Hilbert transforms and ergodie theorems . Rev. Math. Guyana , 1 ( 19 ) : 105 – 167 .
  • Friedman , A. 1963 . Generalized Functions and Partial Differential Equations , Englewood Cliffs, N.J : Prentice-Hall .
  • Gelfand , I.M. and Shilov , G.E. 1964 . Generalized Functions , Vol. 1 , New York : Academic Press .
  • 1958 . Generalized Functions Vol. 2 , Moscow
  • Robert , Gunning.C and Rossi , H . 1965 . Analytic Functions of Several Complex Variables , Englewood Cliffs, N.J : Prentice-Hall .
  • Harvath , J. 1954 . “ Hilbert transforms of distributions in R ” . In Proc, International Congress of Mathematics , 122 – 123 . Amsterdam .
  • Jones , D.S. 1966 . Generalized Functions , Mcgraw-Hill Publishing Company .
  • Chaudhry , M.A. and Pandey , J.N. Generalized (n+1) dimensional Dirichlet boundary value problem , An International Journal .
  • Chaudhry , M.A. and Pandey , J.N. The Hilbert transform of Schwartz distributions II , Proc. of AMS .
  • 1983 . Hilbert transform of generalized functions and application . Can. J. Math , 35 ( 3 ) : 478 – 495 .
  • Schwartz , L. 1966 . Theories' des Distributions , Paris : Hermann .
  • Shilov , G.E. 1968 . Generalized Functions and Partial Differential Equations , Science Publishers .
  • Tichmarsh , E.C. 1948 . Introduction to the theory of Fourier integrals , Oxford : Clarendon Press .
  • Tricomi , F. 1957 . Integral Equations , New York : Interscience Publishers .
  • Zemanian , A.H. 1968 . Generalized Integral Transformations , New York : Interscience Publishers .
  • 1965 . Distributional theory and transform analysis , New York : Mcgraw-Hill .

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