39 citations · 41 across the 6 of their papers we have counts for
6 papers
An elementary multidimensional fundamental theorem of calculus
Joaquim Bruna
We discuss a version of the fundamental theorem of calculus in several variables and some applications, of potential interest as a teaching material in undergraduate courses.
On the solid angle of a convex set
J. Bruna, J. Cufí E. Gallego, A. Reventós
Here we analyze three dimensional analogues of the classical Crofton's formula for planar compact convex sets. In this formula a fundamental role is played by the visual angle of t…
Model spaces results for the Gabor and Wavelet transforms
Gerard Ascensi, Joaquim Bruna
We prove that the unique Gabor atom with analytical model space is the Gaussian function. We give an analogous result for the wavelet transform. For the general case we give a new…
Poisson type generators for L^1(R)
Gerard Ascensi, Joaquim Bruna
We characterize the discrete sets L of the real line such that {f(t-l), l in L} span L^1(R), f being an L^1(R)-function whose Fourier transform behaves like the one of the Poisson…
L^p estimates for Riesz transforms on forms in the Poincare space H^n
Joaquim Bruna
Using hyperbolic form convolution with doubly isometry-invariant kernels, the explicit expression of the inverse of the de Rham laplacian acting on m-forms in the Poincaré space is…
Completeness in of discrete translates
Joaquim Bruna, Alexander Olevskii, Alexander Ulanovskii
We characterize, in terms of the Beurling-Malliavin density, the discrete spectra for which a generator exists, that is a function such that its -tra…