Fourier transforms
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21—30 of 38 matching pages
21: Bibliography Z
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A fast Fourier-Bessel transform algorithm.
Zh. Vychisl. Mat. i Mat. Fiz. 35 (7), pp. 1128–1133 (Russian).
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22: Bibliography G
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Fourier transforms related to a root system of rank 1.
Transform. Groups 12 (1), pp. 77–116.
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23: Bibliography K
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A Handbook of Methods of Approximate Fourier Transformation and Inversion of the Laplace Transformation.
Mir, Moscow.
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24: Bibliography C
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An algorithm for the Fourier-Bessel transform.
Comput. Phys. Comm. 23 (4), pp. 343–353.
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Macdonald’s evaluation conjectures and difference Fourier transform.
Invent. Math. 122 (1), pp. 119–145.
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25: Bibliography F
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Un théorème de Paley-Wiener pour la transformation de Fourier sur un espace riemannien symétrique de rang un.
J. Funct. Anal. 49 (2), pp. 230–268.
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26: 18.3 Definitions
27: 1.18 Linear Second Order Differential Operators and Eigenfunction Expansions
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►The Fourier cosine and sine transform pairs (1.14.9) & (1.14.11) and (1.14.10) & (1.14.12) can be easily obtained from (1.18.57) as for the Bessel functions reduce to the trigonometric functions, see (10.16.1).
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►For even in this yields the Fourier cosine transform pair (1.14.9) & (1.14.11), and for odd the Fourier sine transform pair (1.14.10) & (1.14.12).
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28: Bibliography P
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Fourier Series and Integral Transforms.
Cambridge University Press, Cambridge.
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29: 2.3 Integrals of a Real Variable
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►Assume that the Laplace transform
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►For the Fourier integral
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►Then
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►The integral (2.3.24) transforms into
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