Bahri+Ashino: A simplified Proof of Uncertainty Principle for Quaternion Linear Canonical Transform


Mawardi Bahri and R. Ashino, A simplified Proof of Uncertainty Principle for Quaternion Linear Canonical Transform, Abstract and Applied Analysis, vol.2016, Article ID 5874930, 11 pages. Open Access: https://www.hindawi.com/journals/aaa/2016/5874930/

Abstract: We provide a short and simple proof of an uncertainty principle associated with the quaternion linear canonical transform (QLCT) Continue reading

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Bahri+Ashino: Some Properties of Windowed Linear Canonical Transform and its Logarithmic Uncertainty Principle


Mawardi Bahri and R. Ashino, Some Properties of Windowed Linear Canonical Transform and its Logarithmic Uncertainty Principle, International Journal of  Wavelets, Multiresolution, and Information Processing, 14(3) (2016), 21 pages. http://www.worldscientific.com/doi/abs/10.1142/S0219691316500156

Abstract: Based on the relationship between the Fourier transform (FT) and linear canonical transform (LCT), Continue reading

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M. Josipović: Comment on “Exploring the Origin of Minkowski Spacetime”


Miroslav Josipović, Comment on “Exploring the Origin of Minkowski Spacetime”, Download (PDF preprint): http://vixra.org/pdf/1509.0092v3.pdf

Abstract: In the article Chappell, Continue reading

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M. Josipović: Functions of Multivectors in 3D Euclidean Geometric Algebra Via Spectral Decomposition (For Physicists and Engineers)


by Miroslav Josipović, Download (PDF preprint): http://vixra.org/pdf/1507.0086v3.pdf

Abstract: Geometric algebra is Continue reading

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M. Muto et al: LIFTING TO GL(2) OVER A DIVISION QUATERNION ALGEBRA, AND AN EXPLICIT CONSTRUCTION OF CAP REPRESENTATIONS


MASANORI MUTO, HIRO-AKI NARITA and AMEYA PITALE, LIFTING TO GL(2) OVER A DIVISION QUATERNION ALGEBRA, AND AN EXPLICIT CONSTRUCTION OF CAP REPRESENTATIONS, Nagoya Mathematical Journal, Volume 222 – Issue 1 – June 2016, DOI: http://dx.doi.org/10.1017/nmj.2016.15, Published online: 07 June 2016, pp. 137-185

Abstract: The aim of this paper is Continue reading

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S. Xambo: Report on Santander Geometric Algebra Summer School of Aug. 2016 (Spanish)


Please find (in Spanish) a report on the Geometric Algebra Summer School in Santancer/Spain from 22-26 of August 2016: http://www.rsme.es/org/secret/Boletin502.pdf

The course materials itself (in English) are available at: https://mat-web.upc.edu/people/sebastia.xambo/santalo2016/lectures.html Continue reading

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N. Okamoto: Video lesson 01, From Vectors to Multivectors


Geometric Algebra tutorial, lesson 01. Generating the geometric algebra of a finite dimensional vector space equipped with a non-degenerate scalar product.

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