A process for conditioning a fluid, which comprises the following steps: (a) flow of the process fluid through the sorption channels of a first absorptive heat exchanger, (b) drying of the process fluid in the first absorptive heat exchanger, (c) flow of the dried process fluid to the cold side of a cold source, (d) cooling of the dried process fluid in a cold source, (e) flow of the dried and cooled process fluid into the region to be conditioned, (f) parallel flow of the regeneration fluid through the heat exchanger channels of the first absorptive heat exchanger, (g) uptake of the heat of adsorption by the regeneration fluid, (h) flow of the heated regeneration fluid to the hot side of a heat source, (i) further heating of the regeneration fluid in the heat source, (j) flow of the heated regeneration fluid through the sorption channels of a second absorptive heat exchanger, (k) vaporization of the adsorbates located in the second absorptive heat exchanger and uptake of these adsorbates by the regeneration fluid, (l) flow of the moist regeneration fluid into an exterior region, (m) interruption of the flow of the process fluid and of the regeneration fluid into the first adsorptive heat exchanger, (n) flow of the process fluid through the sorption channels of a second absorptive heat exchanger, (o) drying of the process fluid in the second absorptive heat exchanger, (p) flow of the dried process fluid to the cold side of a cold source, (q) cooling of the dried process fluid in a cold source, (r) flow of the dried and cooled process fluid into the region to be conditioned, (s) parallel flow of the regeneration fluid through the heat exchanger channels of the second absorptive heat exchanger, (t) uptake of the heat of adsorption by the regeneration fluid, (u) flow of the heated regeneration fluid to the hot side of a heat source, (v) further heating of the regeneration fluid in the heat source, (w) flow of the heated regeneration fluid through the sorption channels of a first absorptive heat exchanger, (x) vaporization of the adsorbates located in the first absorptive heat exchanger and uptake of these adsorbates by the regeneration fluid, (y) flow of the moist regeneration fluid into an exterior region. (a) flow of the process fluid through the sorption channels of a first absorptive heat exchanger, (b) drying of the process fluid in the first absorptive heat exchanger, (c) flow of the dried process fluid to the cold side of a cold source, (d) cooling of the dried process fluid in a cold source, (e) flow of the dried and cooled process fluid into the region to be conditioned, (f) parallel flow of the regeneration fluid through the heat exchanger channels of the first absorptive heat exchanger, (g) uptake of the heat of adsorption by the regeneration fluid, (h) flow of the heated regeneration fluid to the hot side of a heat source, (i) further heating of the regeneration fluid in the heat source, (j) flow of the heated regeneration fluid through the sorption channels of a second absorptive heat exchanger, (k) vaporization of the adsorbates located in the second absorptive heat exchanger and uptake of these adsorbates by the regeneration fluid, (l) flow of the moist regeneration fluid into an exterior region, (m) interruption of the flow of the process fluid and of the regeneration fluid into the first adsorptive heat exchanger, (n) flow of the process fluid through the sorption channels of a second absorptive heat exchanger, (o) drying of the process fluid in the second absorptive heat exchanger, (p) flow of the dried process fluid to the cold side of a cold source, (q) cooling of the dried process fluid in a cold source, (r) flow of the dried and cooled process fluid into the region to be conditioned, (s) parallel flow of the regeneration fluid through the heat exchanger channels of the second absorptive heat exchanger, (t) uptake of the heat of adsorption by the regeneration fluid, (u) flow of the heated regeneration fluid to the hot side of a heat source, (v) further heating of the regeneration fluid in the heat source, (w) flow of the heated regeneration fluid through the sorption channels of a first absorptive heat exchanger, (x) vaporization of the adsorbates located in the first absorptive heat exchanger and uptake of these adsorbates by the regeneration fluid, (y) flow of the moist regeneration fluid into an exterior region.