Content area
Abstract
It is shown that the theory of modulation spaces [special characters omitted] can be extended to the case 0 < p, q</italic> ≤ ∞ In particular, these spaces admit an atomic decomposition. A class of uncertainty principles is derived in the form of embeddings of modulation spaces. These embeddings provide practical sufficient conditions for a function to belong to a modulation space. Several counterexamples are provided to demonstrate that the conditions on parameters that guarantee the existence of such embeddings are optimal. Complete continuity of a subclass of such embeddings is proved. Also, a class of embeddings of modulation spaces into Lebesgue and Fourier-Lebesgue spaces is derived.
Details
Title
Uncertainty principles as embeddings of modulation spaces
Author
Galperin, Yevgeniy Viktorovich
Year
2000
ISBN
978-0-599-95352-9
Source type
Dissertation or Thesis
Language of publication
English
ProQuest document ID
304624231
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
