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Norm equivalence between convolution operator in the discrete space (discrete analogue) and convolution in the continue space was given by Magyar, Stein, and Wainger in [3] focusing on Fourier transform. Hilbert transform was written sophisticately by King in [1]. This undergraduate thesis shows the...

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Main Author: PUSAP (NIM: 10107009); Pembimbing : Wono Setya Budhi, Ph. D., SUHENDI
Format: Final Project
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/17321
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Institution: Institut Teknologi Bandung
Language: Indonesia
id id-itb.:17321
spelling id-itb.:173212017-09-27T11:43:11Z#TITLE_ALTERNATIVE# PUSAP (NIM: 10107009); Pembimbing : Wono Setya Budhi, Ph. D., SUHENDI Indonesia Final Project INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/17321 Norm equivalence between convolution operator in the discrete space (discrete analogue) and convolution in the continue space was given by Magyar, Stein, and Wainger in [3] focusing on Fourier transform. Hilbert transform was written sophisticately by King in [1]. This undergraduate thesis shows the relation between [3] and [1] regarding Hilbert transform as a convolution. The &#133;rst part gives some details for [3], the second part narrows down the way of &#133;nding the Hilbert transform using the complex function approach, especially via Poisson Integral Formula, and <br /> <br /> <br /> the last part investigates norm boundedness on the analog of the discrete Hilbert transform. Although there is nothing new, this undergraduate thesis gives the more <br /> <br /> <br /> simple perspective on those matters for the easing of reading a book or paper for undergraduate students. text
institution Institut Teknologi Bandung
building Institut Teknologi Bandung Library
continent Asia
country Indonesia
Indonesia
content_provider Institut Teknologi Bandung
collection Digital ITB
language Indonesia
description Norm equivalence between convolution operator in the discrete space (discrete analogue) and convolution in the continue space was given by Magyar, Stein, and Wainger in [3] focusing on Fourier transform. Hilbert transform was written sophisticately by King in [1]. This undergraduate thesis shows the relation between [3] and [1] regarding Hilbert transform as a convolution. The &#133;rst part gives some details for [3], the second part narrows down the way of &#133;nding the Hilbert transform using the complex function approach, especially via Poisson Integral Formula, and <br /> <br /> <br /> the last part investigates norm boundedness on the analog of the discrete Hilbert transform. Although there is nothing new, this undergraduate thesis gives the more <br /> <br /> <br /> simple perspective on those matters for the easing of reading a book or paper for undergraduate students.
format Final Project
author PUSAP (NIM: 10107009); Pembimbing : Wono Setya Budhi, Ph. D., SUHENDI
spellingShingle PUSAP (NIM: 10107009); Pembimbing : Wono Setya Budhi, Ph. D., SUHENDI
#TITLE_ALTERNATIVE#
author_facet PUSAP (NIM: 10107009); Pembimbing : Wono Setya Budhi, Ph. D., SUHENDI
author_sort PUSAP (NIM: 10107009); Pembimbing : Wono Setya Budhi, Ph. D., SUHENDI
title #TITLE_ALTERNATIVE#
title_short #TITLE_ALTERNATIVE#
title_full #TITLE_ALTERNATIVE#
title_fullStr #TITLE_ALTERNATIVE#
title_full_unstemmed #TITLE_ALTERNATIVE#
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url https://digilib.itb.ac.id/gdl/view/17321
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