$$\ell _q$$ ℓ q -Summability of Higher Dimensional Fourier Series

Ferenc Weisz ()
Additional contact information
Ferenc Weisz: Eötvös Loránd University, Department of Numerical Analysis

Chapter Chapter 2 in Lebesgue Points and Summability of Higher Dimensional Fourier Series, 2021, pp 33-117 from Springer

Abstract: Abstract Here, we study the theory of multi-dimensional Fourier series. In the first section, we introduce different versions of the partial sums of the d-dimensional Fourier series and the corresponding Dirichlet kernels, i.e., the cubic, triangular, circular and rectangular partial sums and Dirichlet kernels. We show that the cubic, triangular and rectangular partial sums converge in the $$L_p({\mathbb T}^d)$$ L p ( T d ) -norm to the function $$(1

Date: 2021
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-74636-0_2

Ordering information: This item can be ordered from
http://www.springer.com/9783030746360

DOI: 10.1007/978-3-030-74636-0_2

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().