Literatur zu:
Fourier-Reihen und -Transformation.

  • hier zunächst das empfehlenswerteste Buch zum Thema:
  • Klingen, Bruno: Fouriertransformation für Ingenieure und Naturwissenschaftler (Springer Bln) ISBN 3-540-41095-3
  • Amin, M.G. / Feng, K.D.: Short-Time Fourier Transforms Using Cascade Filter Structures
    IEEE Transactions on Circuits and Systems II.: Analog and Digital Signal Processing October 1995, Vol. 42, No. 10, ISSN 1057-7130, p. 631ff.
  • Askey, Richard / Stephen Wainger: Integrability Theoremes for Fourier Series
    Duke Mathematical Journal 33 (1966), p. 223-228
  • Berens, Hubert, Yuan Xu: Fejér means of multivariate Fourier series
    Mathematische Zeitschrift 0025-5874, Vol. 221, Issue 3 (1996), pp.449-465
  • Boas, R.P.: Integrability of trigonometric series (I)
    Quarterly Journal of Mathematics Oxford 18 1951, p. 787-93
  • Boas, R.P.: Integrability of trigonometric series (II)
    Quarterly Journal of Mathematics Oxford 1951/1952
  • Boas, R.P.: Integrability of trigonometric series (III)
    Quarterly Journal of Mathematics Oxford (2) 3 1952, p. 217-21
  • Boche, Holger: Charakterisierung der Systeme zur Ermittlung der Fourier-Transformation
    Frequenz 51 (1997) 7-8, p. 212-215 K32/88F15
  • Chen, Yung-Ming: On the integrability of functions defined by trigonometric series
    Mathematische Zeitschrift, Bd. 66, (1956), 9-12
  • Chen, Yung-Ming: Some Asymptotic Propterties of Fourier Constants and Integrability Theorems
    Mathematische Zeitschrift, Bd. 68, (1957), 227-244
  • Farge, M & C.R.Hunt & J.C. Vasilicos: Wavelets, Fractals and Fourier Transforms
    Clarendon Press 1993, ISBN 0-19-853647-x
  • Ganzburg, M.I. / Liflyand, E.R.: Estimates of Best Approximation and Fourier Transforms in Integral Metrics
    Journal of Approximation Theory Vol. 83, No. 3, dez. 1995, p. 347ff.
  • Schempp, W.: Non-commutative affine geometry and symbol calculus: Fourier transform magnetic resonance imaging and wavelets
    Results in Mathematics Vol. 28, No. 3/4, 1995, p. 303
  • Gottlieb, David / Shu, Chi-Wang: Resolution properties of the Fourier method for discontinuous waves
    Comput. Methods Appl. Mech. Engrg.116 (1994) 0045-7825, p. 27-37
  • Gzyl, Henryk: Maxentropic Reconstruction of Fourier and Laplace Transforms under Nonlinear Constraints
    Applied Mathematics and Computation, Vol. 85, No. 2&3, 1.Sept.1997, p. 117ff.
  • Heywood, P.: On the integrability of functions defined by trigonometric series
    Quarterly Journal of Mathematics Oxford (2) 5 1954, p. 71-76
  • Hoffmann, Werner: The Fourier transforms of weighted orbital integrals on semisimple groups of real rank one
    Journal für die reine und angewandte Mathematik, p. 53ff.
  • Jutila, Matti: The additive divisor problem and its analogs for Fourier coefficients of cusp forms
    Mathematische Zeitschrift, Vol. 223, No.3, 1996, pp 435-461, ISSN 0025-5874
  • Jutila, Matti: The additive divisor problem and its analogs for Fourier coefficients of cusp forms II
    Mathematische Zeitschrift, Vol. 225, No.4, 1997, pp 625-637, ISSN 0025-5874
  • Kent E. Mossison: Cosine Products, Fourier Transforms and Random Sums,
    The American Mathematical Monthly vol. 102, No. 8, Oct. 1995, ISSN 0002-9890, p. 716
  • Lambert, R.K. / O'Driscoll, R.C.: Fourier series experiment for the undergraduate physics laboratory
    American Journal of Physics, 53 (1985), (9), p. 874-880
  • Lee, Byung-Tak / Lee, Jae W. / Eom, Hyo J. / Shin, Sang-Yung: Fourier-Transform Analysis for Rectangular Groove Guide
    IEEE Transactions on Microwave theory and techniques, September 1995, Vol. 43, No. 9, 0018-9480, p. 2162-2165
  • Lorentz, G.G.: Fourier-Koeffizienten und Funktionenklassen
    Mathematische Zeitschrift 51 (1948), p. 135-149
  • Madan, V.K. / Sinha, R.K.: Digital smoothing of census data emplying Fourier transforms
    Computational Statistics & Data Analysis Vol. 20, No. 3, Sept. 1995, p. 285
  • Nandakumar Ramanujam, Lifeng Li, James J. Burke, Michael A. Gribbons: Determination of the Truncation Order and Numerical Window for Modeling General Dielectric Waveguides by the Fourier Method
    Journal of Lightwave Technology, Vol. 14, No.3, March 1996, 0733-8724
  • O'Shea, Siobhan: Note on an integrability theorem for sine series
    Quarterly Journal of Mathematics Oxford (2) 8 1957, p. 279-281
  • Ozaktas, H.M. / Aytür, O.: Fractional Fourier Domains, p.119ff.
    Signal Processing Vol. 46, No.1, September 1995
  • Rader, Charles M.: Discrete Fourier Transforms When the Number of Data Samples Is Prime
    Proceeding of the IEEE, June 1968, p. 1107-1108
    K32/88I14-56,1
  • Sangwine, S.J.: Fourier transforms of Colour images using quaternion or hypercomplex, numbers
    Electronics Letters, 32 (21) Oct. 1996, p.1979-1980
  • Katkovnik, O.: A new form of the Fourier transform for time-varying frequeny estimation,
    Signal Processing Vol. 47, No.2, November 1995, p.187ff.
  • Sunouchi, Gen-Ichiro: Integrability of Trigonometric Series
    Journal of Mathematics, Metropolitan Institute for Mathematics, Tokyo, Vol. 1, No.2-3, March, 1953
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    Autor: Michael Knappmann       Copyright © 1998 Michael Knappmann, All rights reserved.
    Letzte Modifikation: 09.03.2001       Erstmals erstellt: 1. 1. 1998