Note on a nonstandard eigenfunction of the planar Fourier transform

被引：0

作者：

Lanzara F. ^{[1
]}

Maz’ya V. ^{[2
]}

机构：

[1] Sapienza University of Rome, Piazzale Aldo Moro 2, Rome

[2] University of Linköping, Linköping

来源：

Journal of Mathematical Sciences | 2017年 / 224卷 / 5期

关键词：

D O I：

10.1007/s10958-017-3444-y

中图分类号：

学科分类号：

摘要：

We consider a nontrivial example of distributional eigenfunction of the planar Fourier transform. This eigenfunction is not a tensor product of univariate eigenfunctions. As a consequence, we obtain a formula for multi-dimensional eigenfunctions in dimension 2N. Bibliography: 6 titles. © 2017 Springer Science+Business Media New York.

引用

页码：694 / 698

页数：4

共 6 条

[1]

Titchmarsh E.C., Introduction to the Theory of Fourier Integrals, (1937)

[2]

Namias V., Fractionalization of Hankel transforms, J. Inst. Math. Appl., 26, pp. 187-197, (1980)

[3]

Watson G.N., A Treatise on the Theory of Bessel Functions, (1944)

[4]

Pei S.-C., Liu C.-L., A general form of 2D Fourier transform eigenfunctions, IEEE Conference Publ, pp. 3701-3704, (2012)

[5]

Duoandikoetxea J., Fourier Analysis, Am. Math. Soc, (2001)

[6]

Gel'Fand I.M., Shilov G.E., Generalized Functions, 1, (2016)

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