6533b836fe1ef96bd12a120d

RESEARCH PRODUCT

Examples of Indexed PIP-Spaces

Camillo TrapaniJean-pierre Antoine

subject

AlgebraSequencesymbols.namesakeModulation spaceMeasurable functionComputer scienceBergman spaceBanach spacesymbolsHilbert spaceHardy spaceSequence space

description

This chapter is devoted to a detailed analysis of various concrete examples of pip-spaces. We will explore sequence spaces, spaces of measurable functions, and spaces of analytic functions. Some cases have already been presented in Chapters 1 and 2. We will of course not repeat these discussions, except very briefly. In addition, various functional spaces are of great interest in signal processing (amalgam spaces, modulation spaces, Besov spaces, coorbit spaces). These will be studied systematically in a separate chapter (Chapter 8).

yearjournalcountryeditionlanguage
2009-01-01
https://doi.org/10.1007/978-3-642-05136-4_4