The biradial Paley-Wiener theorem for the Helgason Fourier transform on Damek-Ricci spaces

Roberto Camporesi

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The biradial Paley-Wiener theorem for the Helgason Fourier transform on Damek-Ricci spaces

机译：Damek-Ricci空间上Helgason Fourier变换的双径向Paley-Wiener定理

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摘要

We prove the Paley-Wiener theorem for the Helgason Fourier transform of smooth compactly supported biradial functions on a Damek-Ricci space S = NA.

机译：我们证明了在Damek-Ricci空间S = NA上的光滑紧致支持双径向函数的Helgason傅立叶变换的Paley-Wiener定理。

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《Journal of Functional Analysis》 |2014年第2期|共24页
作者
Roberto Camporesi;
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正文语种 eng
中图分类数学;
关键词
Damek-Ricci spaces; Jacobi functions; Paley-Wiener theorem;

机译：Damek-Ricci空间; Jacobi函数; Paley-Wiener定理;

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专利

1. The biradial Paley-Wiener theorem for the Helgason Fourier transform on Damek-Ricci spaces [J] . Roberto Camporesi Journal of Functional Analysis . 2014,第2期

机译：Damek-Ricci空间上Helgason Fourier变换的双径向Paley-Wiener定理
2. Holomorphic Sobolev spaces, Hermite and special Hermite semigroups and a Paley-Wiener theorem for the windowed Fourier transform [J] . Radha R., Thangavelu S. Journal of Mathematical Analysis and Applications . 2009,第2期

机译：全纯Sobolev空间，Hermite和特殊Hermite半群以及加窗傅立叶变换的Paley-Wiener定理
3. Paley-Wiener Theorems for the Two-Sided Quaternion Fourier Transform [J] . Mejjaoli Hatem Advances in applied Clifford algebras . 2017,第2期

机译：双面四元数傅里叶变换的佩力定理
4. Computation of transient far radiation field of anarbitrarily oriented dipole over the half-space using the reciprocity theorem and Fourier transform [C] . Cao Le, Wei Bing, Ge De-biao, 2012 IEEE International Workshop on Electromagnetics: Applications and Student Innovation Competition. . 2012

机译：利用互易性定理和傅立叶变换计算半空间任意取向偶极子的瞬态远辐射场
5. On a Paley-Wiener theorem for the ZS-AKNS scattering transform. [D] . Walker, Ryan D. 2013

机译：关于ZS-AKNS散射变换的Paley-Wiener定理。
6. Multi-Tone Frequency Estimation Based on the All-Phase Discrete Fourier Transform and Chinese Remainder Theorem [O] . Xiangdong Huang, Lu Cao, Wei Lu 2020

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7. REAL PALEY-WIENER THEOREMS FOR THE INVERSE FOURIER TRANSFORM ON A RIEMANNIAN SYMMETRIC SPACE [O] . Nils Byrial Andersen 2004

机译：在黎曼对称空间上逆傅里叶变换的真实paLEY-WIENER定理
8. The 'Fourier' Transform of a Resolution Space and a Theorem of Masani. [R] . DeCarlo, R. A., Saeks, R., Strauss, M. 1975

机译：解决空间的“傅立叶”变换与马萨尼定理。

The biradial Paley-Wiener theorem for the Helgason Fourier transform on Damek-Ricci spaces

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