Fourier Transforms

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Princeton University Press, 1949 - Mathematics - 219 pages
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Contents

Preface
1
2 Riemann Lebesgue Lemma
3
3 Convolution of two functions
5
U Derivative of a function and its transform
7
5 Inversion formula
10
6 Uniqueness of Fourier transform
11
7 Summability theorems
13
8 Some applications of summabilitytheorems
21
13 Abels theorem
35
lU Abel and Gauss summability
37
15 Boundary values
41
16 Mean values
47
FOURIER TRANSFORMS IN L Several Variables
57
L SPACES
80
FOURIER TRANSFORMS IN
104
GENERAL TRANSFORMS IN
150

9 Continuity in norm
22
10 Summability in norm
25
11 Derivatives of a function and their trans forms
27
12 Degree of approximation
30
GENERAL TAUBERIAN THEOREMS
171
17 Tauberlan theorems 50
182
NOTES
209
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