The Gibbs Phenomenon in Fourier Analysis, Splines and Wavelet Approximations

Front Cover
Springer, Aug 31, 1998 - Mathematics - 336 pages
0 Reviews
This is the first book dedicated to covering the basic elements of the Gibbs phenomenon as it appears in various applications where functions with jump discontinuities are represented. It is presented with detailed analysis and illustrations combined with historical information. The author covers the appearance of the Gibbs phenomenon in Fourier analysis, orthogonal expansions, integral transforms, splines and wavelet approximations. Methods of reducing, or filtering out, such phenomena that cover all the above function representations are also addressed. The book includes a thorough bibliography of some 350 references.
Audience: The work is intended as an introduction for engineering and scientific practitioners in the fields where this phenomenon may appear in their use of various function representations. It may also be used by qualified students.
  

What people are saying - Write a review

We haven't found any reviews in the usual places.

Related books

Contents

IV
1
V
3
VI
12
VIII
16
IX
26
X
28
XI
31
XII
34
XXXIX
137
XL
140
XLI
148
XLII
150
XLIII
155
XLIV
156
XLVI
157
XLVII
159

XIII
37
XIV
38
XV
40
XVI
43
XVII
44
XVIII
45
XIX
55
XX
56
XXI
57
XXII
67
XXIII
73
XXIV
78
XXV
80
XXVI
83
XXVII
100
XXVIII
107
XXIX
109
XXX
110
XXXI
112
XXXII
119
XXXIII
122
XXXV
125
XXXVI
127
XXXVII
130
XXXVIII
131
XLVIII
171
XLIX
177
L
183
LI
184
LII
191
LIII
199
LIV
203
LV
207
LVI
216
LVII
222
LVIII
227
LIX
230
LX
231
LXI
246
LXII
247
LXIII
266
LXIV
274
LXV
285
LXVI
287
LXVII
297
LXVIII
319
LXIX
327
LXX
335
Copyright

Common terms and phrases

Popular passages

Page 288 - RG Cooke, Gibbs phenomenon in Fourier-Bessel series and integrals, Proc. London Math. Soc. (2) 27 (1928), 171.
Page 293 - L. Fejér, Einige Sätze, die sich auf das Vorzeichen einer ganzen rationalen Funktion beziehen,
Page 288 - Error Analysis in Application of Generalization of the Sampling Theorem - chapter 7 in Advanced Topics in Shannon Sampling and Interpolation Theory, RJ Marks II, editor, SpringerVerlag, 1992,

References to this book

All Book Search results »

References from web pages

Mathematics and Its Applications
The Gibbs Phenomenon in Fourier Analysis, Splines and Wavelet Approximations Abdul J. Jerri Clarkson University KLUWER ACADEMIC PUBLISHERS ...
www.clarkson.edu/ ~jerria/ solnman/ gibbs.html

Gibbs' phenomenon and arclength
The Gibbs phenomenon in Fourier analysis, splines and wavelet approximations, Kluwer Academic. Publishers, Dordrecht. [5l Kelly, S+E. (1996); ...
www.springerlink.com/ index/ UM75863J21KKH377.pdf

Hybrid sampling series associated with orthogonal wavelets and ...
aj Jerri, The Gibbs Phenomenon in Fourier Analysis, Splines and Wavelet Approximations , Kluwer Academic, Boston, 1998. 5 5. se Kelly, ma Kon and la Raphael ...
portal.acm.org/ citation.cfm?id=864538.864554

Tmecca : The Gibbs Phenomenon in Fourier Analysis, Splines and ...
정가, 250800원. 판매가, 250800원 + 수수료 (0% DC). 적립금, 5000(2%). ISBN10, 0792351096. ISBN13, 9780792351092. 출판사, Kluwer Academic Publishers ...
tmeca.com/ detail/ detail_book.html?isbn=9780792351092

abdul j jerri libri - I Libri dell'autore: Abdul J Jerri ...
The Gibbs Phenomenon in Fourier Analysis, Splines and Wavelet Approximations · The Gibbs Phenomenon in Fourier Analysis, Splines and Wavelet Approximations ...
www.libreriauniversitaria.it/ books-author_abdul+j+jerri-abdul+j+jerri.htm

About the author (1998)

ABDUL J. JERRI, PhD, is Professor of Mathematics at Clarkson University, Potsdam, New York.