Connectivity in the Set of Gabor frames
نویسنده
چکیده
In this paper we present a constructive proof that the set of Gabor frames is pathconnected in the L2(Rn)-norm. In particular, this result holds for the set of Gabor Parseval frames as well as for the set of Gabor orthonormal bases. In order to prove this result, we introduce a construction which shows exactly how to modify a Gabor frame or Parseval frame to obtain a new one with the same property. Our technique is a modification of a method used in [6] to study the connectivity of affine Parseval frames. AMS Mathematics Subject Classification: 42C15, 42C40.
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