Uncertainty Principles as Embeddings of Modulation Spaces

Authors

Yevgeniy V. Galperin, Sacred Heart University
Karlheinz GröchenigFollow

Document Type

Article

Publication Date

10-2002

Abstract

A class of new uncertainty principles is derived in the form of embeddings of Fourier–Lebesgue spaces into modulation spaces. These embeddings provide practical, sufficient conditions for a function to belong to a modulation space. Counterexamples based on the properties of Gabor expansions demonstrate that the embeddings are optimal.

Comments

Published: Galperin, Y. V. and Karlheinz Gröchenig. "Uncertainty Principles as Embeddings of Modulation Spaces." Journal of Mathematical Analysis and Applications 274.1 (2002): 181-202.

DOI

10.1016/S0022-247X(02)00279-2

Recommended Citation

Galperin, Y. V. and Karlheinz Gröchenig. "Uncertainty Principles as Embeddings of Modulation Spaces." Journal of Mathematical Analysis and Applications 274.1 (2002): 181-202.