caa a22 4500 463246861 CHVBK 20180405153328.0 cr unu---uuuuu 170326e20070601xx s 000 0 eng 10.1007/s00041-006-6105-y doi (NATIONALLICENCE)springer-10.1007/s00041-006-6105-y Weisz Ferenc Department of Numerical Analysis, Eötvös L. University Pázmány P. sétány 1/C, H-1117 Budapest, Hungary aut Inversion of the Short-Time Fourier Transform Using Riemannian Sums [Elektronische Daten] [Ferenc Weisz] The inversion formula for the short-time Fourier transform is usually considered in the weak sense, or only for specific combinations of window functions and function spaces such as L2 and modulation spaces. In the present note the Riemannian sums of the inverse short-time Fourier transform are investigated. Under some conditions on the window functions we prove that the Riemannian sums converge to f in the modulation spaces and inWiener amalgam norms, hence also in the Lp sense. Birkhauser Boston, 2007 Journal of Fourier Analysis and Applications Birkhäuser-Verlag; www.birkhauser.com 13/3(2007-06-01), 357-368 1069-5869 13:3<357 2007 13 41 https://doi.org/10.1007/s00041-006-6105-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00041-006-6105-y text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Weisz Ferenc Department of Numerical Analysis, Eötvös L. University Pázmány P. sétány 1/C, H-1117 Budapest, Hungary aut NATIONALLICENCE 773 0- Journal of Fourier Analysis and Applications Birkhäuser-Verlag; www.birkhauser.com 13/3(2007-06-01), 357-368 1069-5869 13:3<357 2007 13 41 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer