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2023 | OriginalPaper | Chapter

Fractal Convolution Bessel Sequences on Rectangle

Authors : R. Pasupathi, M. A. Navascués, A. K. B. Chand

Published in: Frontiers in Industrial and Applied Mathematics

Publisher: Springer Nature Singapore

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Abstract

The chapter delves into the intricate world of fractal geometry and its applications in modeling natural phenomena. It introduces the concept of Fractal Interpolation Functions (FIFs) and their advantages, such as self-similarity and non-integer dimensional approximations. The core of the chapter focuses on constructing fractal convolution Bessel sequences on a rectangle, leveraging the tensor product of Hilbert spaces and fractal functions. These sequences are shown to have superior flexibility and accuracy in approximating two-dimensional square-integrable maps. The chapter concludes by highlighting the practical implications of these fractal Bessel sequences in various fields, offering a cutting-edge tool for advanced mathematical modeling.
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Metadata
Title
Fractal Convolution Bessel Sequences on Rectangle
Authors
R. Pasupathi
M. A. Navascués
A. K. B. Chand
Copyright Year
2023
Publisher
Springer Nature Singapore
Book
Frontiers in Industrial and Applied Mathematics

Print ISBN: 978-981-19-7271-3

Electronic ISBN: 978-981-19-7272-0

Copyright Year: 2023

DOI
https://doi.org/10.1007/978-981-19-7272-0_11

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