ACHA := Applied and Computational Harmonic Analysis, AHA := Abstract Harmonic Analysis, HA := Harmonic Analysis,
LA := Linear Algebra, MPH := Mathematical Physics, OT := Operator Theory, RT := Representation Theory,
TCS := Theoretical Computer Science.
A. Ghaani Farashahi, Generalized wavelet transforms over finite fields, Linear and Multilinear Algebra, pdf file [ACHA-LA-RT-TCS]
A. Ghaani Farashahi, Fourier-Stieltjes transforms over homogeneous spaces of compact groups, Groups, Geometry, and Dynamics, pdf file [AHA-OT-RT]
A. Ghaani Farashahi, Absolutely convergent Fourier series of functions over homogeneous spaces of compact groups, Michigan Mathematical Journal, pdf file [AHA-OT-RT]
A. Ghaani Farashahi, Abstract measure algebras over homogeneous spaces of compact groups, International Journal of Mathematics, pdf file [AHA-OT]
A. Ghaani Farashahi, Abstract operator-valued Fourier transforms over homogeneous spaces of compact groups, Groups, Geometry, and Dynamics, Volume 11, Issue 4, 2017, pp. 1437-1467, pdf file [AHA-OT-RT]
A. Ghaani Farashahi, Abstract Plancherel (trace) formulas over homogeneous spaces of compact groups, Canadian Mathematical Bulletin, 60(2017), 111-121, pdf file [AHA-OT-RT]
A. Ghaani Farashahi, A class of abstract linear representations for convolution function algebras over homogeneous spaces of compact groups, Canadian Journal of Mathematics, pdf file [AHA-OT-RT]
A. Ghaani Farashahi, Abstract convolution function algebras over homogeneous spaces of compact groups, Illinois Journal of Mathematics, Volume 59, Number 4 (2015), 1025-1042, pdf file [AHA-OT]
A. Ghaani Farashahi, Abstract Poisson summation formulas over homogeneous spaces of compact groups, Analysis and Mathematical Physics, Volume 7, Issue 4, pp 493-508, pdf file [AHA-OT-RT]
A. Ghaani Farashahi, Abstract coherent state transforms over homogeneous spaces of compact groups, Complex Analysis and Operator Theory, pdf file [AHA-OT-RT-MPH]
A. Ghaani Farashahi, Abstract relative Gabor transforms over canonical homogeneous spaces of semidirect product groups with Abelian normal factor, Analysis and Applications, November 2017, Vol. 15, No. 06, pp. 795-813, pdf file [AHA-HA]
A. Ghaani Farashahi, Abstract harmonic analysis of relative convolutions over canonical homogeneous spaces of semidirect product groups, Journal of the Australian Mathematical Society, 101 (2016), no. 2, 171-187, pdf file [AHA-OT]
A. Ghaani Farashahi, Abstract harmonic analysis of wave packet transforms over locally compact abelian groups, Banach Journal of Mathematical Analysis, 11(1) (2017), 50-71, pdf file [AHA-OT-RT]
A. Ghaani Farashahi, Square-integrability of multivariate metaplectic wave-packet representations, Journal of Physics A: Mathematical and Theoretical, pdf file [ACHA-HA-MPH]
A. Ghaani Farashahi, Square-integrability of metaplectic wave-packet representations on L2(R), Journal of Mathematical Analysis and Applications, Volume 449, Issue 1, 1 May 2017, Pages 769-792, pdf file [ACHA-HA-MPH]
A. Ghaani Farashahi, Multivariate wave-packet transforms, Zeitschrift für Analysis und ihre Anwendungen (Journal of Analysis and its Applications), Volume 36, Issue 4, 2017, pp. 481-500, pdf file [ACHA-HA-MPH]
A. Ghaani Farashahi, Wave packet transforms over finite cyclic groups, Linear Algebra and its Applications, 489 (2016), 75-92, pdf file [ACHA-LA-RT]
A. Ghaani Farashahi, Theoretical frame properties of wave packet matrices over prime fields, Linear and Multilinear Algebra, Vol. 65, No. 12, 2508-2529, pdf file [ACHA-LA-RT-TCS]
A. Ghaani Farashahi, Wave packet transform over finite fields, Electronic Journal of Linear Algebra, 30(2015),507-529, pdf file [ACHA-LA-RT-TCS]
Complete List of Scientific Publications in Journal Papers with Peer Review Process
Dr. Arash Ghaani Farashahi
Leeds, LS2 9JT, United Kingdom
Office: Room 9.317A Physics Research Deck, School of Mathematics, University of Leeds
Email: a.ghaanifarashahi@leeds.ac.uk
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