Some results about the Henstock-Kurzweil Fourier transform

Mendoza Torres, Francisco J., Escamilla Reyna, Juan A., and Sánchez Perales, Salvador. "Some results about the Henstock-Kurzweil Fourier transform." Mathematica Bohemica 134.4 (2009): 379-386. <http://eudml.org/doc/38100>.

@article{MendozaTorres2009,
abstract = {We consider the Fourier transform in the space of Henstock-Kurzweil integrable functions. We prove that the classical results related to the Riemann-Lebesgue lemma, existence and continuity are true in appropriate subspaces.},
author = {Mendoza Torres, Francisco J., Escamilla Reyna, Juan A., Sánchez Perales, Salvador},
journal = {Mathematica Bohemica},
keywords = {Fourier transform; Henstock-Kurzweil integral; bounded variation functions; Fourier transform; Henstock-Kurzweil integral; bounded variation function},
language = {eng},
number = {4},
pages = {379-386},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Some results about the Henstock-Kurzweil Fourier transform},
url = {http://eudml.org/doc/38100},
volume = {134},
year = {2009},
}

TY - JOUR
AU - Mendoza Torres, Francisco J.
AU - Escamilla Reyna, Juan A.
AU - Sánchez Perales, Salvador
TI - Some results about the Henstock-Kurzweil Fourier transform
JO - Mathematica Bohemica
PY - 2009
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 134
IS - 4
SP - 379
EP - 386
AB - We consider the Fourier transform in the space of Henstock-Kurzweil integrable functions. We prove that the classical results related to the Riemann-Lebesgue lemma, existence and continuity are true in appropriate subspaces.
LA - eng
KW - Fourier transform; Henstock-Kurzweil integral; bounded variation functions; Fourier transform; Henstock-Kurzweil integral; bounded variation function
UR - http://eudml.org/doc/38100
ER -