  Perivolaropoulos has recently proposed a position-deformed Heisenberg algebra
which includes a maximal length [Phys.Rev.95, 103523 (2017)]. He has shown that
this length scale naturally emerges in the context of cosmological particle's
horizon or cosmic topology. Following this work, we propose a new deformed
algebra and derive the maximal length uncertainty and its corresponding minimal
momentum uncertainty from the generalized uncertainty principle. We also
construct the corresponding Fourier transform and its inverse representations.
Finally, we propose n-dimensional representation of this algebra
