We study the Fourier transform for compactly supported distributional sections of complex homogeneous vector bundles on symmetric spaces of non-compact type X = G/K. We prove a characterisation of their range. In fact, from Delorme’s Paley-Wiener theorem for compactly supported smooth functions on a real reductive group of Harish-Chandra class, we deduce topological Paley-Wiener and Paley-Wiener- Schwartz theorems for sections
AbstractWe study Fourier transforms of distributions on a symmetric space X. Eguchi et al. [1] chara...
Let X = G/H be a reductive symmetric space and K a maximal compact subgroup of G. The image under th...
AbstractWe study Fourier transforms of distributions on a symmetric space X. Eguchi et al. [1] chara...
We study the Fourier transform for compactly supported distributional sections of complex homogeneou...
We study the Fourier transform for compactly supported distributional sections of complex homogeneou...
peer reviewedWe study the Fourier transform for compactly supported distributional sections of compl...
The description of the Paley-Wiener space for compactly supported smooth functions C_c^∞(G) on a sem...
The description of the Paley-Wiener space for compactly supported smooth functions C_c^∞(G) on a sem...
peer reviewedThe description of the Paley-Wiener space for compactly supported smooth functions C_c^...
The description of the Paley-Wiener space for compactly supported smooth functions $C^\infty_c(G)$ o...
Paley–Wiener type theorems describe the image of a given space of functions, often compactly support...
We generalize a Paley-Wiener theorem to homogeneous line bundles $L_\chi$ on a compact symmetric spa...
Let X =G/H be a reductive symmetric space and K a maximal compact subgroup of G. We study Fourier t...
Let X =G/H be a reductive symmetric space and K a maximal compact subgroup of G. We study Fourier t...
The Fourier coefficients of a smooth K-invariant function on a compact symmetric space M = U / K are...
AbstractWe study Fourier transforms of distributions on a symmetric space X. Eguchi et al. [1] chara...
Let X = G/H be a reductive symmetric space and K a maximal compact subgroup of G. The image under th...
AbstractWe study Fourier transforms of distributions on a symmetric space X. Eguchi et al. [1] chara...
We study the Fourier transform for compactly supported distributional sections of complex homogeneou...
We study the Fourier transform for compactly supported distributional sections of complex homogeneou...
peer reviewedWe study the Fourier transform for compactly supported distributional sections of compl...
The description of the Paley-Wiener space for compactly supported smooth functions C_c^∞(G) on a sem...
The description of the Paley-Wiener space for compactly supported smooth functions C_c^∞(G) on a sem...
peer reviewedThe description of the Paley-Wiener space for compactly supported smooth functions C_c^...
The description of the Paley-Wiener space for compactly supported smooth functions $C^\infty_c(G)$ o...
Paley–Wiener type theorems describe the image of a given space of functions, often compactly support...
We generalize a Paley-Wiener theorem to homogeneous line bundles $L_\chi$ on a compact symmetric spa...
Let X =G/H be a reductive symmetric space and K a maximal compact subgroup of G. We study Fourier t...
Let X =G/H be a reductive symmetric space and K a maximal compact subgroup of G. We study Fourier t...
The Fourier coefficients of a smooth K-invariant function on a compact symmetric space M = U / K are...
AbstractWe study Fourier transforms of distributions on a symmetric space X. Eguchi et al. [1] chara...
Let X = G/H be a reductive symmetric space and K a maximal compact subgroup of G. The image under th...
AbstractWe study Fourier transforms of distributions on a symmetric space X. Eguchi et al. [1] chara...