Results for fourier transform of vector translation from Spanish to English

in particular, the fourier transform of the unity function is the δ distribution.
in particular, the fourier transform of the constant function equal to 1 is the "δ" distribution.

the fourier transform is a continuous, linear, bijective operator from the space of tempered distributions to itself.
the fourier transform is a continuous, linear, bijective operator from the space of tempered distributions to itself.

notions of parallel transport can then be defined similarly as for the case of vector fields.
notions of parallel transport can then be defined similarly as for the case of vector fields.

the derivatives have some common features including that they are derivatives along integral curves of vector fields.
the derivatives have some common features including that they are derivatives along integral curves of vector fields.

to study the fourier transform, it is best to consider "complex"-valued test functions and complex-linear distributions.
to study the fourier transform, it is best to consider "complex"-valued test functions and complex-linear distributions.

if "r" is finite and the manifold is compact, the space of vector fields is a banach space.
if "r" is finite and the manifold is compact, the space of vector fields is a banach space.

fft es la abreviatura usual (del inglés fast fourier transform) de un eficiente algoritmo que permite calcular la transformada de fourier discreta (dft) y su inversa.
a fast fourier transform (fft) is an algorithm to compute the discrete fourier transform (dft) and its inverse.

if "r" = ∞ or if the manifold is σ-compact, the space of vector fields is a fréchet space.
if "r" = ∞ or if the manifold is σ-compact, the space of vector fields is a fréchet space.

(1967), a history of vector analysis: "the evolution of the idea of a vectorial system", university of notre dame press.
(1967), a history of vector analysis: "the evolution of the idea of a vectorial system", university of notre dame press.

===lie algebra===in particular, the lie algebra of the diffeomorphism group of "m" consists of all vector fields on "m", equipped with the lie bracket of vector fields.
===lie algebra===the lie algebra of the diffeomorphism group of "m" consists of all vector fields on "m" equipped with the lie bracket of vector fields.