An extension of distributional wavelet transform
Colloquium Mathematicae (2009)
- Volume: 115, Issue: 2, page 195-206
- ISSN: 0010-1354
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topR. Roopkumar. "An extension of distributional wavelet transform." Colloquium Mathematicae 115.2 (2009): 195-206. <http://eudml.org/doc/283427>.
@article{R2009,
abstract = {We construct a new Boehmian space containing the space 𝓢̃'(ℝⁿ×ℝ₊) and define the extended wavelet transform 𝓦 of a new Boehmian as a tempered Boehmian. In analogy to the distributional wavelet transform, it is proved that the extended wavelet transform is linear, one-to-one, and continuous with respect to δ-convergence as well as Δ-convergence.},
author = {R. Roopkumar},
journal = {Colloquium Mathematicae},
keywords = {tempered Boehmians; convolution; wavelet transform},
language = {eng},
number = {2},
pages = {195-206},
title = {An extension of distributional wavelet transform},
url = {http://eudml.org/doc/283427},
volume = {115},
year = {2009},
}
TY - JOUR
AU - R. Roopkumar
TI - An extension of distributional wavelet transform
JO - Colloquium Mathematicae
PY - 2009
VL - 115
IS - 2
SP - 195
EP - 206
AB - We construct a new Boehmian space containing the space 𝓢̃'(ℝⁿ×ℝ₊) and define the extended wavelet transform 𝓦 of a new Boehmian as a tempered Boehmian. In analogy to the distributional wavelet transform, it is proved that the extended wavelet transform is linear, one-to-one, and continuous with respect to δ-convergence as well as Δ-convergence.
LA - eng
KW - tempered Boehmians; convolution; wavelet transform
UR - http://eudml.org/doc/283427
ER -
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