Edit Profile (opens in new tab) Farashahi, Arash Ghaani Co-Author Distance Author ID: farashahi.arash-ghaani Published as: Farashahi, Arash Ghaani; Ghaani Farashahi, Arash; Farashahi, A. Ghaani; Ghaani Farashahi, A. more...less External Links: MGP · ResearchGate · dblp Documents Indexed: 57 Publications since 2012, including 6 Additional arXiv Preprints Reviewing Activity: 10 Reviews Co-Authors: 5 Co-Authors with 14 Joint Publications 162 Co-Co-Authors Co-Authors 43 single-authored 8 Chirikjian, Gregory S. 3 Kamyabi-Gol, Rajab Ali 1 Arefijamaal, Ali Akbar 1 Mohammadpour, Mozhgan 1 Neumaier, Arnold all top 5 Serials 4 Analysis and Mathematical Physics 2 Linear and Multilinear Algebra 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Analysis and Applications (Singapore) 2 Groups, Geometry, and Dynamics 2 Sahand Communications in Mathematical Analysis 2 Wavelets and Linear Algebra 1 Analysis Mathematica 1 Journal of Mathematical Analysis and Applications 1 Rocky Mountain Journal of Mathematics 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Illinois Journal of Mathematics 1 Journal of Approximation Theory 1 Journal of the Korean Mathematical Society 1 Michigan Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 Southeast Asian Bulletin of Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Bulletin of the Korean Mathematical Society 1 Bulletin of the Iranian Mathematical Society 1 International Journal of Mathematics 1 Linear Algebra and its Applications 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Bulletin des Sciences Mathématiques 1 Integral Transforms and Special Functions 1 ELA. The Electronic Journal of Linear Algebra 1 International Journal of Mathematics, Game Theory and Algebra 1 Journal of the Australian Mathematical Society 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Analysis in Theory and Applications 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Mediterranean Journal of Mathematics 1 Pure and Applied Mathematics Quarterly 1 Journal of Physics A: Mathematical and Theoretical 1 Banach Journal of Mathematical Analysis 1 Annals of Functional Analysis 1 Mathematics 1 International Journal of Analysis and Applications 1 Journal of Linear and Topological Algebra 1 Advances in Operator Theory all top 5 Fields 41 Abstract harmonic analysis (43-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 10 Group theory and generalizations (20-XX) 7 Topological groups, Lie groups (22-XX) 7 Operator theory (47-XX) 7 Quantum theory (81-XX) 6 Field theory and polynomials (12-XX) 5 Numerical analysis (65-XX) 4 Commutative algebra (13-XX) 3 Ordinary differential equations (34-XX) 2 Functions of a complex variable (30-XX) 2 Functional analysis (46-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 47 Publications have been cited 279 times in 68 Documents Cited by ▼ Year ▼ Continuous Gabor transform for a class of non-abelian groups. Zbl 1268.43002 Farashahi, Arash Ghaani; Kamyabi-Gol, Rajabali 21 2012 Wave packet transform over finite fields. Zbl 1329.42035 Farashahi, Arash Ghaani 15 2015 Abstract convolution function algebras over homogeneous spaces of compact groups. Zbl 1358.22001 Farashahi, Arash Ghaani 15 2015 Wave packet transforms over finite cyclic groups. Zbl 1327.42038 Ghaani Farashahi, Arash 14 2016 Cyclic wave packet transform on finite abelian groups of prime order. Zbl 1364.42039 Farashahi, Arash Ghaani 13 2014 Continuous partial Gabor transform for semi-direct product of locally compact groups. Zbl 1311.43007 Ghaani Farashahi, Arash 12 2015 Zak transform for semidirect product of locally compact groups. Zbl 1321.43003 Arefijamaal, Ali Akbar; Farashahi, Arash Ghaani 12 2013 Abstract operator-valued Fourier transforms over homogeneous spaces of compact groups. Zbl 1423.43010 Farashahi, Arash Ghaani 11 2017 A class of abstract linear representations for convolution function algebras over homogeneous spaces of compact groups. Zbl 1388.43013 Farashahi, Arash Ghaani 11 2018 Abstract harmonic analysis of wave-packet transforms over locally compact abelian groups. Zbl 1354.43004 Farashahi, Arash Ghaani 11 2017 Abstract Plancherel (trace) formulas over homogeneous spaces of compact groups. Zbl 1379.43007 Farashahi, Arash Ghaani 10 2017 Convolution and involution on function spaces of homogeneous spaces. Zbl 1291.43003 Farashahi, Arash Ghaani 10 2013 Abstract harmonic analysis of relative convolutions over canonical homogeneous spaces of semidirect product groups. Zbl 1360.43006 Farashahi, Arash Ghaani 9 2016 Square-integrability of multivariate metaplectic wave-packet representations. Zbl 1362.81046 Farashahi, Arash Ghaani 9 2017 Generalized Weyl-Heisenberg (GWH) groups. Zbl 1312.43002 Farashahi, Arash Ghaani 8 2014 Square-integrability of metaplectic wave-packet representations on \(L^2(\mathbb{R})\). Zbl 1359.42017 Ghaani Farashahi, Arash 8 2017 Abstract relative Fourier transforms over canonical homogeneous spaces of semi-direct product groups with abelian normal factor. Zbl 1367.43005 Farashahi, Arash Ghaani 7 2017 Abstract measure algebras over homogeneous spaces of compact groups. Zbl 1455.43004 Farashahi, Arash Ghaani 6 2018 Structure of finite wavelet frames over prime fields. Zbl 1373.42035 Farashahi, A. Ghaani 6 2017 Cyclic wavelet systems in prime dimensional linear vector spaces. Zbl 1376.42042 Ghaani Farashahi, A. 6 2015 Multivariate wave-packet transforms. Zbl 1379.42017 Farashahi, Arash Ghaani 5 2017 Fourier-Zernike series of convolutions on disks. Zbl 1425.43003 Ghaani Farashahi, Arash; Chirikjian, Gregory S. 4 2018 Abstract Poisson summation formulas over homogeneous spaces of compact groups. Zbl 1409.43004 Farashahi, Arash Ghaani 4 2017 A unified theoretical harmonic analysis approach to the cyclic wavelet transform (CWT) for periodic signals of prime dimensions. Zbl 1310.42024 Farashahi, Arash Ghaani; Mohammad-Pour, Mozhgan 4 2014 Classical harmonic analysis over spaces of complex measures on coset spaces of compact subgroups. Zbl 1399.43018 Ghaani Farashahi, A. 3 2017 Theoretical frame properties of wave-packet matrices over prime fields. Zbl 1487.42083 Farashahi, Arash Ghaani 3 2017 Abstract harmonic analysis over spaces of complex measures on homogeneous spaces of compact groups. Zbl 1388.43012 Farashahi, Arash Ghaani 3 2017 A unified group theoretical method for the partial Fourier analysis on semi-direct product of locally compact groups. Zbl 1315.43004 Farashahi, Arash Ghaani 3 2015 Classical wavelet systems over finite fields. Zbl 1375.42055 Farashahi, Arash Ghaani 3 2016 Abstract relative Gabor transforms over canonical homogeneous spaces of semidirect product groups with abelian normal factor. Zbl 1372.43006 Farashahi, Arash Ghaani 3 2017 Trigonometric polynomials over homogeneous spaces of compact groups. Zbl 1370.43005 Farashahi, Arash Ghaani 3 2017 Discrete spectra of convolutions of compactly supported functions on \(\mathrm{SE}(2)\) using Sturm-Liouville theory. Zbl 1452.43002 Ghaani Farashahi, Arash; Chirikjian, Gregory S. 3 2020 Fourier-Bessel series of compactly supported convolutions on disks. Zbl 07528660 Farashahi, Arash Ghaani; Chirikjian, Gregory S. 3 2022 Classical wavelet transforms over finite fields. Zbl 1412.42089 Farashahi, A. Ghaani 2 2015 Galois wavelet transforms over finite fields. Zbl 1440.42171 Farashahi, Arash Ghaani 2 2019 Fourier-Stieltjes transforms over homogeneous spaces of compact groups. Zbl 1468.43005 Farashahi, Arash Ghaani 2 2019 Abstract relative function \(*\)-algebras over canonical homogeneous spaces of semi-direct product groups. Zbl 1399.43005 Farashahi, Arash Ghaani 2 2017 Fourier-Zernike series of compactly supported convolutions on \(\mathrm{SE}(2)\). Zbl 1491.43005 Ghaani Farashahi, Arash; Chirikjian, Gregory S. 2 2021 Covariant functions of characters of compact subgroups. Zbl 1475.43002 Ghaani Farashahi, Arash 2 2021 Generalized wavelet transforms over finite fields. Zbl 1447.42034 Farashahi, Arash Ghaani 2 2020 Abstract structure of partial function \(\ast\)-algebras over semi-direct product of locally compact groups. Zbl 1377.43002 Farashahi, Arash Ghaani; Kamyabi Gol, Rajab Ali 1 2015 Peter-Weyl theorem for homogeneous spaces of compact groups. Zbl 1463.47057 Farashahi, Arash Ghaani 1 2017 Banach convolution modules of group algebras on covariant functions of characters of normal subgroups. Zbl 1523.43002 Ghaani Farashahi, Arash 1 2023 Introduction to coherent quantization. Zbl 1492.81070 Neumaier, Arnold; Ghaani Farashahi, Arash 1 2022 Classical Fourier analysis over homogeneous spaces of compact groups. Zbl 1389.43007 Farashahi, Arash Ghaani 1 2016 Harmonic analysis of covariant functions of characters of normal subgroups. Zbl 1520.43001 Ghaani Farashahi, Arash 1 2023 Abstract Banach convolution function modules over coset spaces of compact subgroups in locally compact groups. Zbl 1502.43007 Farashahi, Arash Ghaani 1 2022 Banach convolution modules of group algebras on covariant functions of characters of normal subgroups. Zbl 1523.43002 Ghaani Farashahi, Arash 1 2023 Harmonic analysis of covariant functions of characters of normal subgroups. Zbl 1520.43001 Ghaani Farashahi, Arash 1 2023 Fourier-Bessel series of compactly supported convolutions on disks. Zbl 07528660 Farashahi, Arash Ghaani; Chirikjian, Gregory S. 3 2022 Introduction to coherent quantization. Zbl 1492.81070 Neumaier, Arnold; Ghaani Farashahi, Arash 1 2022 Abstract Banach convolution function modules over coset spaces of compact subgroups in locally compact groups. Zbl 1502.43007 Farashahi, Arash Ghaani 1 2022 Fourier-Zernike series of compactly supported convolutions on \(\mathrm{SE}(2)\). Zbl 1491.43005 Ghaani Farashahi, Arash; Chirikjian, Gregory S. 2 2021 Covariant functions of characters of compact subgroups. Zbl 1475.43002 Ghaani Farashahi, Arash 2 2021 Discrete spectra of convolutions of compactly supported functions on \(\mathrm{SE}(2)\) using Sturm-Liouville theory. Zbl 1452.43002 Ghaani Farashahi, Arash; Chirikjian, Gregory S. 3 2020 Generalized wavelet transforms over finite fields. Zbl 1447.42034 Farashahi, Arash Ghaani 2 2020 Galois wavelet transforms over finite fields. Zbl 1440.42171 Farashahi, Arash Ghaani 2 2019 Fourier-Stieltjes transforms over homogeneous spaces of compact groups. Zbl 1468.43005 Farashahi, Arash Ghaani 2 2019 A class of abstract linear representations for convolution function algebras over homogeneous spaces of compact groups. Zbl 1388.43013 Farashahi, Arash Ghaani 11 2018 Abstract measure algebras over homogeneous spaces of compact groups. Zbl 1455.43004 Farashahi, Arash Ghaani 6 2018 Fourier-Zernike series of convolutions on disks. Zbl 1425.43003 Ghaani Farashahi, Arash; Chirikjian, Gregory S. 4 2018 Abstract operator-valued Fourier transforms over homogeneous spaces of compact groups. Zbl 1423.43010 Farashahi, Arash Ghaani 11 2017 Abstract harmonic analysis of wave-packet transforms over locally compact abelian groups. Zbl 1354.43004 Farashahi, Arash Ghaani 11 2017 Abstract Plancherel (trace) formulas over homogeneous spaces of compact groups. Zbl 1379.43007 Farashahi, Arash Ghaani 10 2017 Square-integrability of multivariate metaplectic wave-packet representations. Zbl 1362.81046 Farashahi, Arash Ghaani 9 2017 Square-integrability of metaplectic wave-packet representations on \(L^2(\mathbb{R})\). Zbl 1359.42017 Ghaani Farashahi, Arash 8 2017 Abstract relative Fourier transforms over canonical homogeneous spaces of semi-direct product groups with abelian normal factor. Zbl 1367.43005 Farashahi, Arash Ghaani 7 2017 Structure of finite wavelet frames over prime fields. Zbl 1373.42035 Farashahi, A. Ghaani 6 2017 Multivariate wave-packet transforms. Zbl 1379.42017 Farashahi, Arash Ghaani 5 2017 Abstract Poisson summation formulas over homogeneous spaces of compact groups. Zbl 1409.43004 Farashahi, Arash Ghaani 4 2017 Classical harmonic analysis over spaces of complex measures on coset spaces of compact subgroups. Zbl 1399.43018 Ghaani Farashahi, A. 3 2017 Theoretical frame properties of wave-packet matrices over prime fields. Zbl 1487.42083 Farashahi, Arash Ghaani 3 2017 Abstract harmonic analysis over spaces of complex measures on homogeneous spaces of compact groups. Zbl 1388.43012 Farashahi, Arash Ghaani 3 2017 Abstract relative Gabor transforms over canonical homogeneous spaces of semidirect product groups with abelian normal factor. Zbl 1372.43006 Farashahi, Arash Ghaani 3 2017 Trigonometric polynomials over homogeneous spaces of compact groups. Zbl 1370.43005 Farashahi, Arash Ghaani 3 2017 Abstract relative function \(*\)-algebras over canonical homogeneous spaces of semi-direct product groups. Zbl 1399.43005 Farashahi, Arash Ghaani 2 2017 Peter-Weyl theorem for homogeneous spaces of compact groups. Zbl 1463.47057 Farashahi, Arash Ghaani 1 2017 Wave packet transforms over finite cyclic groups. Zbl 1327.42038 Ghaani Farashahi, Arash 14 2016 Abstract harmonic analysis of relative convolutions over canonical homogeneous spaces of semidirect product groups. Zbl 1360.43006 Farashahi, Arash Ghaani 9 2016 Classical wavelet systems over finite fields. Zbl 1375.42055 Farashahi, Arash Ghaani 3 2016 Classical Fourier analysis over homogeneous spaces of compact groups. Zbl 1389.43007 Farashahi, Arash Ghaani 1 2016 Wave packet transform over finite fields. Zbl 1329.42035 Farashahi, Arash Ghaani 15 2015 Abstract convolution function algebras over homogeneous spaces of compact groups. Zbl 1358.22001 Farashahi, Arash Ghaani 15 2015 Continuous partial Gabor transform for semi-direct product of locally compact groups. Zbl 1311.43007 Ghaani Farashahi, Arash 12 2015 Cyclic wavelet systems in prime dimensional linear vector spaces. Zbl 1376.42042 Ghaani Farashahi, A. 6 2015 A unified group theoretical method for the partial Fourier analysis on semi-direct product of locally compact groups. Zbl 1315.43004 Farashahi, Arash Ghaani 3 2015 Classical wavelet transforms over finite fields. Zbl 1412.42089 Farashahi, A. Ghaani 2 2015 Abstract structure of partial function \(\ast\)-algebras over semi-direct product of locally compact groups. Zbl 1377.43002 Farashahi, Arash Ghaani; Kamyabi Gol, Rajab Ali 1 2015 Cyclic wave packet transform on finite abelian groups of prime order. Zbl 1364.42039 Farashahi, Arash Ghaani 13 2014 Generalized Weyl-Heisenberg (GWH) groups. Zbl 1312.43002 Farashahi, Arash Ghaani 8 2014 A unified theoretical harmonic analysis approach to the cyclic wavelet transform (CWT) for periodic signals of prime dimensions. Zbl 1310.42024 Farashahi, Arash Ghaani; Mohammad-Pour, Mozhgan 4 2014 Zak transform for semidirect product of locally compact groups. Zbl 1321.43003 Arefijamaal, Ali Akbar; Farashahi, Arash Ghaani 12 2013 Convolution and involution on function spaces of homogeneous spaces. Zbl 1291.43003 Farashahi, Arash Ghaani 10 2013 Continuous Gabor transform for a class of non-abelian groups. Zbl 1268.43002 Farashahi, Arash Ghaani; Kamyabi-Gol, Rajabali 21 2012 all cited Publications top 5 cited Publications all top 5 Cited by 61 Authors 25 Farashahi, Arash Ghaani 4 Arefijamaal, Ali Akbar 4 Chirikjian, Gregory S. 4 Fahlaoui, Said 4 Rahimi, Asghar 3 Faress, Moussa 3 Kamyabi-Gol, Rajab Ali 3 Kumar, Ajay 3 Kumar, Vishvesh 2 Abid, Khouloud 2 Bansal, Ashish 2 Daraby, Bayaz 2 Esmaeelzadeh, Fatemeh 2 Kisil, Vladimir V. 2 Mondal, Shyam Swarup 2 Razghandi, Atefe 2 Seddighi, Niloufar 2 Sharma, Jyoti 2 Smaoui, Kais 1 Al Ameer, Amerah A. 1 Almalki, Fadhel 1 Bansal, Piyush 1 Bhat, Mohammad Younus 1 Bhat, Younis Ahmad 1 Borsten, Leron 1 Cui, Kaiyan 1 Darvishi, Zahra 1 Fahimian, Fatemeh 1 Fard, Mohammad Ali Hasankhani 1 Gillan, Behrooz Olfatian 1 Gorty, V. R. Lakshmi 1 Han, Ningning 1 Jiang, Zhikang 1 Jubb, Ian 1 Jüstel, Dominik 1 Kangni, Kinvi 1 Kumar, Nageswaran Shravan 1 Kundu, Manab 1 Lee, Dae Gwan 1 Li, Bingzhao 1 Makwana, V. 1 Marshall, Nicholas F. 1 Mickelin, Oscar 1 Mohammadpour, Mozhgan 1 Monaim, Hakim 1 Morillas, Patricia Mariela 1 Nagy, Silvia 1 Neyshaburi, Fahimeh Arabyani 1 Omidi, Mohammad Reza 1 Parmar, Khinal 1 Pfander, Götz E. 1 Prasad, Akhilesh 1 Rashidi-Kouchi, Mehdi 1 Sahami, Amir 1 Sarma, Ritumoni 1 Shamsabadi, Mitra 1 Singer, Amit 1 Song, Zhanjie 1 Toure, Ibrahima 1 Wang, Guan 1 Zandi, Golaleh all top 5 Cited in 47 Serials 4 Sahand Communications in Mathematical Analysis 3 Journal of Mathematical Analysis and Applications 3 Linear and Multilinear Algebra 3 Circuits, Systems, and Signal Processing 3 Mediterranean Journal of Mathematics 3 Analysis and Mathematical Physics 2 Analysis Mathematica 2 Advances in Applied Clifford Algebras 2 Integral Transforms and Special Functions 2 Journal of the Australian Mathematical Society 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Analysis and Applications (Singapore) 2 Advances in Pure and Applied Mathematics 2 Khayyam Journal of Mathematics 1 Journal of the Franklin Institute 1 Physics Letters. A 1 Journal of Approximation Theory 1 Journal of the London Mathematical Society. Second Series 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Numerical Functional Analysis and Optimization 1 Proceedings of the American Mathematical Society 1 Bulletin of the Iranian Mathematical Society 1 Forum Mathematicum 1 International Journal of Mathematics 1 Linear Algebra and its Applications 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 SIAM Journal on Scientific Computing 1 Georgian Mathematical Journal 1 Bulletin des Sciences Mathématiques 1 The Journal of Fourier Analysis and Applications 1 Journal of High Energy Physics 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Hacettepe Journal of Mathematics and Statistics 1 Thai Journal of Mathematics 1 International Journal of Wavelets, Multiresolution and Information Processing 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Complex Variables and Elliptic Equations 1 Groups, Geometry, and Dynamics 1 Journal of Physics A: Mathematical and Theoretical 1 Armenian Journal of Mathematics 1 Journal of Pseudo-Differential Operators and Applications 1 Annals of Functional Analysis 1 Journal of Mathematics 1 Mathematics 1 Journal of Linear and Topological Algebra 1 Advances in Operator Theory all top 5 Cited in 26 Fields 41 Abstract harmonic analysis (43-XX) 29 Harmonic analysis on Euclidean spaces (42-XX) 10 Topological groups, Lie groups (22-XX) 8 Operator theory (47-XX) 6 Quantum theory (81-XX) 5 Group theory and generalizations (20-XX) 5 Approximations and expansions (41-XX) 5 Integral transforms, operational calculus (44-XX) 5 Functional analysis (46-XX) 4 Numerical analysis (65-XX) 4 Information and communication theory, circuits (94-XX) 3 Functions of a complex variable (30-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year