Wavelet transform of Lc, d -space. Issue 6 (3rd June 2018)

• Record Type: Journal Article
• Authors: Mala, Anshu; Singh, Abhishek; Banerji, P. K.
• Is Part Of: Integral transforms and special functions. Volume 29:Issue 6(2018)
• Page Start: 431
• Page End: 441
• Publication Date: 2018-06-03
• Subjects: Continuous wavelet transform -- generalized integral transform -- Schwartz distributions -- Lcd-space; Primary: 46F12 -- 65T60 -- Secondary: 42C40 -- 46F10; Integral transforms -- Periodicals; Transcendental functions -- Periodicals; Transformations (Mathematics) -- Periodicals; Calculus, Integral -- Periodicals; 515
• DOI: 10.1080/10652469.2018.1451849
• Languages: English
• ISSNs: 1065-2469

Abstract

ABSTRACT: Certain characterization of the test function spaceL c, d and its dualL c, d ′ are given. Using convolution theory inL c, d -space, we obtain bounded results for the wavelet transform. A Calderón-type reproducing formula is derived in distribution sense as an application of the same.