Boehmians of Lp - growth. Issue 8 (2nd August 2016)

• Record Type: Journal Article
• Authors: Nemzer, D.
• Is Part Of: Integral transforms and special functions. Volume 27:Issue 8(2016)
• Page Start: 653
• Page End: 666
• Publication Date: 2016-08-02
• Subjects: Boehmian -- Fourier transform -- inversion -- Lp-growth -- ultradifferential operator -- uncertainty principle; 46F12 -- 46F10 -- 44A35 -- 42A38; Integral transforms -- Periodicals; Transcendental functions -- Periodicals; Transformations (Mathematics) -- Periodicals; Calculus, Integral -- Periodicals; 515
• DOI: 10.1080/10652469.2016.1182524
• Languages: English
• ISSNs: 1065-2469

Abstract

ABSTRACT: Spaces of Boehmians having L p -growth ( 1 ≤ p ≤ ∞ ) are constructed and studied. For 1 ≤ p ≤ 2, the Fourier transform is defined and properties are established. An inversion formula and an uncertainty principle are given for Boehmians.