Advances in Applied Clifford Algebras Short Title: Adv. Appl. Clifford Algebr. Publisher: Springer (Birkhäuser), Basel ISSN: 0188-7009; 1661-4909/e Online: https://link.springer.com/journal/6/volumes-and-issues Comments: Journal; Indexed cover-to-cover Documents Indexed: 1,585 Publications (since 1991) References Indexed: 1,173 Publications with 27,215 References. all top 5 Latest Issues 34, No. 2 (2024) 34, No. 1 (2024) 33, No. 5 (2023) 33, No. 4 (2023) 33, No. 3 (2023) 33, No. 2 (2023) 33, No. 1 (2023) 32, No. 5 (2022) 32, No. 4 (2022) 32, No. 3 (2022) 32, No. 2 (2022) 32, No. 1 (2022) 31, No. 5 (2021) 31, No. 4 (2021) 31, No. 3 (2021) 31, No. 2 (2021) 31, No. 1 (2021) 30, No. 5 (2020) 30, No. 4 (2020) 30, No. 3 (2020) 30, No. 2 (2020) 30, No. 1 (2020) 29, No. 5 (2019) 29, No. 4 (2019) 29, No. 3 (2019) 29, No. 2 (2019) 29, No. 1 (2019) 28, No. 5 (2018) 28, No. 4 (2018) 28, No. 3 (2018) 28, No. 2 (2018) 28, No. 1 (2018) 27, No. 4 (2017) 27, No. 3 (2017) 27, No. 2 (2017) 27, No. 1 (2017) 26, No. 4 (2016) 26, No. 3 (2016) 26, No. 2 (2016) 26, No. 1 (2016) 25, No. 4 (2015) 25, No. 3 (2015) 25, No. 2 (2015) 25, No. 1 (2015) 24, No. 4 (2014) 24, No. 3 (2014) 24, No. 2 (2014) 24, No. 1 (2014) 23, No. 4 (2013) 23, No. 3 (2013) 23, No. 2 (2013) 23, No. 1 (2013) 22, No. 4 (2012) 22, No. 3 (2012) 22, No. 2 (2012) 22, No. 1 (2012) 21, No. 4 (2011) 21, No. 3 (2011) 21, No. 2 (2011) 21, No. 1 (2011) 20, No. 3-4 (2010) 20, No. 2 (2010) 20, No. 1 (2010) 19, No. 3-4 (2009) 19, No. 2 (2009) 19, No. 1 (2009) 18, No. 3-4 (2008) 18, No. 2 (2008) 18, No. 1 (2008) 17, No. 4 (2007) 17, No. 3 (2007) 17, No. 2 (2007) 17, No. 1 (2007) 16, No. 2 (2006) 16, No. 1 (2006) 15, No. 2 (2005) 15, No. 1 (2005) 14, No. 2 (2004) 14, No. 1 (2004) 13, No. 2 (2003) 13, No. 1 (2003) 12, No. 2 (2002) 12, No. 1 (2002) 12, Suppl. 1 (2002) 11, No. 2 (2001) 11, No. 1 (2001) 11, Suppl. 2 (2001) 11, Suppl. 1 (2001) 10, No. 2 (2000) 10, No. 1 (2000) 9, No. 2 (1999) 9, No. 1 (1999) 8, No. 2 (1998) 8, No. 1 (1998) 7, No. 2 (1997) 7, No. 1 (1997) 7, Suppl. (1997) 6, No. 2 (1996) 6, No. 1 (1996) 5, No. 2 (1995) ...and 6 more Volumes all top 5 Authors 37 Hitzer, Eckhard 31 Casanova, Gaston 26 Sommen, Franciscus 24 Keller, Jaime 22 Helmstetter, Jacques 21 Yayli, Yusuf 18 Rodrigues, Waldyr Alves jun. 17 Bory Reyes, Juan 17 Castro Perelman, Carlos 16 Bayro-Corrochano, Eduardo 14 Abreu-Blaya, Ricardo 13 Abłamowicz, Rafał 13 Eriksson, Sirkka-Liisa 13 Hildenbrand, Dietmar 13 Kähler, Uwe 13 Shirokov, Dmitry S. 13 Tosun, Murat 12 Qian, Tao 12 Vašík, Petr 12 Yamaleev, Robert M. 11 Anglès, Pierre 11 Catoni, Francesco 11 Gürlebeck, Klaus 11 Kyrchei, Ivan I. 11 Orelma, Heikki 10 Brackx, Fred F. 10 Cerejeiras, Paula 10 Delanghe, Richard 10 Eelbode, David 10 Hrdina, Jaroslav 10 Ren, Guangbin 10 Vaz, Jayme jun. 10 Wainer, Samuel Augusto 9 De Schepper, Hennie 9 Hestenes, David Orlin 9 Leutwiler, Heinz 9 Ludkovsky, Sergey Victor 9 Návrat, Aleš 9 Ozdemir, Mustafa Kemal 9 Sprößig, Wolfgang 8 Bernstein, Swanhild 8 Gal, Sorin Gheorghe 8 Jadczyk, Arkadiusz 8 Sangwine, Stephen J. 8 Socolovsky, Miguel 8 Soucek, Vladimir 8 Yüce, Salim 7 Dinh, Doan Cong 7 Fauser, Bertfried 7 Flaut, Cristina 7 González-Cervantes, José Óscar 7 Gu, Yingqiu 7 Lasenby, Anthony N. 7 Lávička, Roman 7 Opfer, Gerhard 7 Qiao, Yuying 7 Sabadini, Irene 7 Shpakivskyi, Vitalii Stanislavovich 7 Yu, Xuegang 6 Abramov, Viktor 6 Alves, Rafael 6 Breuils, Stéphane 6 Cannata, Roberto 6 Dvoeglazov, Valeri V. 6 Fabbri, Luca 6 Fernández Guasti, Manuel 6 Fuchs, Laurent 6 Gungor, Mehmet Ali 6 Jiang, Tongsong 6 Karakuş, Fatma 6 Lasenby, Joan 6 Lavor, Carlile Campos 6 Li, Xingmin 6 Lian, Pan 6 Luna-Elizarrarás, María Elena 6 Malonek, Helmuth Robert 6 Mann, Stephen 6 Ryan, John 6 Schmeikal, Bernd 6 Shapiro, Michael V. 6 Sobczyk, Garret E. 6 Steinmetz, Christian 6 Suzuki, Osamu 6 Vanegas, Judith C. 6 Vieira, Nelson 6 Yang, Heju 6 Yu, Zhaoyuan 6 Yuan, Linwang 6 Zampetti, Paolo 5 Bekar, Murat 5 Bock, Sebastian 5 Brezov, Danail S. 5 Budinich, Marco 5 Çelik, Salih 5 Daher, Radouan 5 Dang, Pei 5 Dechant, Pierre-Philippe 5 Du, Jinyuan 5 Egeland, Olav 5 Falcão, Maria Irene ...and 1,281 more Authors all top 5 Fields 724 Linear and multilinear algebra; matrix theory (15-XX) 354 Functions of a complex variable (30-XX) 279 Quantum theory (81-XX) 196 Differential geometry (53-XX) 151 Number theory (11-XX) 132 Partial differential equations (35-XX) 129 Relativity and gravitational theory (83-XX) 113 Nonassociative rings and algebras (17-XX) 84 Associative rings and algebras (16-XX) 78 Geometry (51-XX) 68 Harmonic analysis on Euclidean spaces (42-XX) 68 Mechanics of particles and systems (70-XX) 65 Computer science (68-XX) 62 Numerical analysis (65-XX) 57 Global analysis, analysis on manifolds (58-XX) 53 Functional analysis (46-XX) 52 Operator theory (47-XX) 50 Optics, electromagnetic theory (78-XX) 49 Group theory and generalizations (20-XX) 49 Topological groups, Lie groups (22-XX) 44 Information and communication theory, circuits (94-XX) 38 Several complex variables and analytic spaces (32-XX) 31 Algebraic geometry (14-XX) 30 Combinatorics (05-XX) 28 Special functions (33-XX) 21 Potential theory (31-XX) 20 Field theory and polynomials (12-XX) 20 Integral transforms, operational calculus (44-XX) 19 History and biography (01-XX) 16 Real functions (26-XX) 16 Abstract harmonic analysis (43-XX) 14 Dynamical systems and ergodic theory (37-XX) 14 Systems theory; control (93-XX) 13 Ordinary differential equations (34-XX) 11 General and overarching topics; collections (00-XX) 11 Commutative algebra (13-XX) 11 Fluid mechanics (76-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Measure and integration (28-XX) 9 Difference and functional equations (39-XX) 9 Approximations and expansions (41-XX) 9 Probability theory and stochastic processes (60-XX) 8 Integral equations (45-XX) 8 Mechanics of deformable solids (74-XX) 7 Manifolds and cell complexes (57-XX) 7 Biology and other natural sciences (92-XX) 6 Convex and discrete geometry (52-XX) 5 Mathematical logic and foundations (03-XX) 5 Category theory; homological algebra (18-XX) 5 Algebraic topology (55-XX) 5 Statistics (62-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Geophysics (86-XX) 3 Operations research, mathematical programming (90-XX) 2 Astronomy and astrophysics (85-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General algebraic systems (08-XX) 1 \(K\)-theory (19-XX) 1 General topology (54-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,084 Publications have been cited 5,912 times in 2,822 Documents Cited by ▼ Year ▼ Quaternion Fourier transform on quaternion fields and generalizations. Zbl 1143.42006 Hitzer, Eckhard M. S. 114 2007 On Fibonacci quaternions. Zbl 1329.11016 Halici, Serpil 68 2012 Applications of Clifford’s geometric algebra. Zbl 1269.15022 Hitzer, Eckhard; Nitta, Tohru; Kuroe, Yasuaki 55 2013 The Hermitian Clifford analysis toolbox. Zbl 1177.30064 Brackx, Fred; De Schepper, Hennie; Sommen, Frank 53 2008 Clifford Fourier transform on multivector fields and uncertainty principles for dimensions \(n=2\pmod 4\) and \(n=3\pmod 4\). Zbl 1177.15029 Hitzer, Eckhard M. S.; Mawardi, Bahri 53 2008 Directional uncertainty principle for quaternion Fourier transform. Zbl 1198.42006 Hitzer, Eckhard M. S. 53 2010 Clifford Fourier transformation and uncertainty principle for the Clifford geometric algebra \(\mathrm{Cl}_{3,0}\). Zbl 1133.42305 Mawardi, Bahri; Hitzer, Eckhard S. M. 37 2006 Algorithmically solving the tadpole problem. Zbl 1484.81081 Bena, Iosif; Blåbäck, Johan; Graña, Mariana; Lüst, Severin 34 2022 On generalized Fibonacci quaternions and Fibonacci-Narayana quaternions. Zbl 1330.11009 Flaut, Cristina; Shpakivskyi, Vitalii 33 2013 Models for irreducible representations of Spin\((m)\). Zbl 1221.22016 van Lancker, P.; Sommen, Frank; Constales, D. 33 2001 Bicomplex quantum mechanics. II: The Hilbert space. Zbl 1142.81010 Rochon, D.; Tremblay, S. 33 2006 Introduction to hybrid numbers. Zbl 1394.11024 Özdemir, Mustafa 32 2018 Determinantal representations of solutions to systems of quaternion matrix equations. Zbl 1391.15057 Kyrchei, Ivan 32 2018 Fibonacci generalized quaternions. Zbl 1321.11020 Akyiğit, Mahmut; Hüda Kösal, Hidayet; Tosun, Murat 32 2014 ELKO, flagpole and flag-dipole spinor fields, and the instanton Hopf fibration. Zbl 1202.81237 da Rocha, R.; Hoff da Silva, J. M. 31 2010 On Pell quaternions and Pell-Lucas quaternions. Zbl 1344.11022 Çimen, Cennet Bolat; İpek, Ahmet 30 2016 The Pell quaternions and the Pell octonions. Zbl 1344.11027 Szynal-Liana, Anetta; Włoch, Iwona 30 2016 The octonionic eigenvalue problem. Zbl 0927.15007 Dray, Tevian; Manogue, Corinne A. 29 1998 Matrix representations of octonions and their applications. Zbl 0974.15012 Tian, Yongge 28 2000 Discrete Dirac operators in Clifford analysis. Zbl 1208.30046 Faustino, Nelson; Kähler, Uwe; Sommen, Frank 28 2007 Holomorphic Cliffordian functions. Zbl 0940.30028 Laville, Guy; Ramadanoff, Ivan 27 1998 Quaternionic formulation of the classical fields. Zbl 0943.35092 Majerník, V. 27 1999 Cramer’s rules for Sylvester quaternion matrix equation and its special cases. Zbl 1404.15013 Kyrchei, Ivan 27 2018 Split Fibonacci quaternions. Zbl 1328.11016 Akyiǧit, Mahmut; Kösal, Hidayet Hüda; Tosun, Murat 26 2013 Bicomplex quantum mechanics. I: The generalized Schrödinger equation. Zbl 1169.81339 Rochon, D.; Tremblay, S. 26 2004 On complex Fibonacci quaternions. Zbl 1270.11012 Halici, Serpil 26 2013 On eigenvalues of split quaternion matrices. Zbl 1296.15005 Erdoğdu, Melek; Özdemir, Mustafa 25 2013 Finite-dimensional bicomplex Hilbert spaces. Zbl 1237.46009 Gervais Lavoie, Raphaël; Marchildon, Louis; Rochon, Dominic 25 2011 A note on Jacobsthal quaternions. Zbl 1335.11095 Szynal-Liana, Anetta; Włoch, Iwona 25 2016 The theory of local mass dimension one fermions of spin one half. Zbl 1386.81150 Ahluwalia, Dharam Vir 23 2017 An introduction to commutative quaternions. Zbl 1207.30073 Catoni, Francesco; Cannata, Roberto; Zampetti, Paolo 23 2006 Biquaternion (complexified quaternion) roots of \(- 1\). Zbl 1107.30038 Sangwine, Stephen J. 23 2006 The spacetime algebra approach to massive classical electrodynamics with magnetic monopoles. Zbl 1113.78003 Cafaro, C.; Ali, S. A. 23 2007 Mathematics of Clifford – a Maple package for Clifford and Graßmann algebras. Zbl 1099.65520 Ablamowicz, Rafal; Fauser, Bertfried 22 2005 Correct rules for Clifford calculus on superspace. Zbl 1129.30034 De Bie, Hendrik; Sommen, Frank 22 2007 Unitary spaces on Clifford algebras. Zbl 1156.15015 Marchuk, N. G.; Shirokov, D. S. 22 2008 Hyperbolic calculus. Zbl 0922.30035 Motter, A. E.; Rosa, M. A. F. 21 1998 On Appell sets and the Fueter-Sce mapping. Zbl 1170.30023 Gürlebeck, Norman 21 2009 On Hermitian solutions of the split quaternion matrix equation \(AXB+CXD=E\). Zbl 1386.15036 Yuan, Shi-Fang; Wang, Qing-Wen; Yu, Yi-Bin; Tian, Yong 20 2017 Clifford algebra and the discretizable molecular distance geometry problem. Zbl 1327.15052 Lavor, Carlile; Alves, Rafael; Figueiredo, Weber; Petraglia, Antonio; Maculan, Nelson 20 2015 Clifford multivector toolbox (for MATLAB). Zbl 1407.68566 Sangwine, Stephen J.; Hitzer, Eckhard 20 2017 A Cauchy integral formula for inframonogenic functions in Clifford analysis. Zbl 1369.30063 Moreno García, Arsenio; Moreno García, Tania; Abreu Blaya, Ricardo; Bory Reyes, Juan 20 2017 Special monogenic polynomials and \(L_2\)-approximation. Zbl 1221.30100 Cação, I.; Gürlebeck, K.; Malonek, H. 20 2001 Nonlinear \(A\)-Dirac equations. Zbl 1253.30073 Nolder, Craig A. 20 2011 On the Riemann Hilbert type problems in Clifford analysis. Zbl 1061.30033 Abreu Blaya, Ricardo; Bory Reyes, Juan 20 2001 Novel uncertainty principles for two-sided quaternion linear canonical transform. Zbl 1392.81164 Zhang, Yan-Na; Li, Bing-Zhao 19 2018 Determinantal representations of the quaternion core inverse and its generalizations. Zbl 1436.15004 Kyrchei, Ivan 19 2019 Canal surfaces with quaternions. Zbl 1339.53018 Aslan, Selahattin; Yaylı, Yusuf 19 2016 A modified uncertainty principle for two-sided quaternion Fourier transform. Zbl 1342.42009 Bahri, Mawardi 19 2016 Hyperbolic quaternion formulation of electromagnetism. Zbl 1203.78005 Demir, Süleyman; Tanışlı, Murat; Candemir, Nuray 19 2010 On finite difference Dirac operators and their fundamental solutions. Zbl 1221.30107 Gürlebeck, Klaus; Hommel, Angela 18 2001 On the quaternionic \(B _{2}\)-slant helices in the Euclidean space \(E ^{4}\). Zbl 1239.53002 Gök, İsmail; Okuyucu, O. Zeki; Kahraman, Ferdağ; Hacisalihoğlu, H. Hilmi 18 2011 The Howe duality for the Dunkl version of the Dirac operator. Zbl 1404.17018 Ørsted, Bent; Somberg, Petr; Souček, Vladimír 18 2009 Donoho-Stark’s uncertainty principles in real Clifford algebras. Zbl 1428.43004 El Haoui, Youssef; Fahlaoui, Said 18 2019 The Fibonacci octonions. Zbl 1375.11015 Keçilioğlu, Osman; Akkus, Ilker 18 2015 The modified Pell and the modified \(k\)-Pell quaternions and octonions. Zbl 1380.11010 Catarino, Paula 18 2016 Some algebraic and analytical properties of coquaternion algebra. Zbl 1186.37053 Pogoruy, Anatoliy A.; Rodríguez-Dagnino, Ramón M. 18 2010 The Balian-Low theorem for the windowed quaternionic Fourier transform. Zbl 1256.42044 Fu, Yingxiong; Kähler, Uwe; Cerejeiras, Paula 18 2012 Riemann boundary value problems on the sphere in Clifford analysis. Zbl 1262.30056 Ku, Min; Kähler, Uwe; Wang, Daoshun 18 2012 A constraint system of generalized Sylvester quaternion matrix equations. Zbl 1386.15035 Rehman, Abdur; Wang, Qing-Wen; Ali, Ilyas; Akram, Muhammad; Ahmad, M. O. 17 2017 \(\sigma \)-PBW extensions of skew Armendariz rings. Zbl 1392.16021 Reyes, Armando; Suárez, Héctor 17 2017 Structure, properties and applications of some simultaneous decompositions for quaternion matrices involving \(\phi\)-skew-Hermicity. Zbl 1409.15017 He, Zhuo-Heng 17 2019 Topological bicomplex modules. Zbl 1369.30060 Kumar, Romesh; Saini, Heera 17 2016 Geometric algebra to model uncertainties in the discretizable molecular distance geometry problem. Zbl 1373.92148 Alves, Rafael; Lavor, Carlile 17 2017 An improved Cauchy formula for hypermonogenic functions. Zbl 1172.30027 Eriksson, Sirkka-Liisa; Leutwiler, Heinz 17 2009 \(p\)-Dirac operators. Zbl 1170.53028 Nolder, Craig A.; Ryan, John 17 2009 Interactive 3D space group visualization with CLUCalc and the Clifford geometric algebra description of space groups. Zbl 1242.20060 Hitzer, Eckhard; Perwass, Christian 17 2010 Quaternionic approach of canal surfaces constructed by some new ideas. Zbl 1405.53003 Gök, İsmail 16 2017 Spinor Bishop equations of curves in Euclidean 3-space. Zbl 1287.53003 Ünal, Doğan; Kisi, İlim; Tosun, Murat 16 2013 Computations with Clifford and Grassmann algebras. Zbl 1182.65068 Abłamowicz, Rafał 16 2009 A new adjacency matrix for finite graphs. Zbl 1194.05099 Staples, George Stacey 16 2008 On linear functionals and Hahn-Banach theorems for hyperbolic and bicomplex modules. Zbl 1308.30059 Luna-Elizarrarás, M. E.; Perez-Regalado, C. O.; Shapiro, M. 16 2014 Bicomplex weighted Hardy spaces and bicomplex \(C^*\)-algebras. Zbl 1337.30059 Kumar, Romesh; Singh, Kulbir; Saini, Heera; Kumar, Sanjay 16 2016 Two-dimensional geometries, topologies, trigonometries and physics generated by complex-type numbers. Zbl 1052.83004 Fjelstad, Paul; Gal, Sorin G. 16 2001 Boundary value problems for quaternionic monogenic functions on non-smooth surfaces. Zbl 0948.30047 Abreu Blaya, Ricardo; Bory Reyes, Juan 15 1999 Clifford Cauchy type integrals on Ahlfors-David regular surfaces in \(\mathbb R^{m+1}\). Zbl 1100.30032 Abreu Blaya, Ricardo; Peña Peña, Dixan; Bory Reyes, Juan 15 2003 On monogenic series expansions with applications to linear elasticity. Zbl 1310.33007 Bock, Sebastian 15 2014 Tighter uncertainty principles based on quaternion Fourier transform. Zbl 1338.42013 Yang, Yan; Dang, Pei; Qian, Tao 15 2016 Geometric roots of \(-1\) in Clifford algebras \(C \ell_{p,q}\) with \(p + q \leq 4\). Zbl 1216.15019 Hitzer, Eckhard; Abłamowicz, Rafał 15 2011 Quaternion windowed linear canonical transform of two-dimensional signals. Zbl 1435.30140 Gao, Wen-Biao; Li, Bing-Zhao 15 2020 A general geometric Fourier transform convolution theorem. Zbl 1263.15021 Bujack, Roxana; Scheuermann, Gerik; Hitzer, Eckhard 15 2013 Cayley formula, Euler parameters and rotations in 3-dimensional Lorentzian space. Zbl 1197.15015 Özkaldı, Sıddıka; Gündoğan, Halit 15 2010 \(n\)-dimensional hyperbolic complex numbers. Zbl 0937.30029 Fjelstad, Paul; Gal, Sorin G. 14 1998 Cramer’s rules of \(\eta \)-(skew-)Hermitian solutions to the quaternion Sylvester-type matrix equations. Zbl 1415.15016 Kyrchei, Ivan 14 2019 Super 3-Lie algebras induced by super Lie algebras. Zbl 1419.17005 Abramov, Viktor 14 2017 Two-sided Clifford Fourier transform with two square roots of \(-1\) in \(Cl(p,q)\). Zbl 1301.42017 Hitzer, Eckhard 14 2014 An algorithm for coneigenvalues and coneigenvectors of quaternion matrices. Zbl 1318.15005 Ling, Sitao; Cheng, Xuehan; Jiang, Tongsong 14 2015 Hypermonogenic functions and Möbius transformations. Zbl 1221.30105 Eriksson-Bique, Sirkka-Liisa; Leutwiler, Heinz 14 2001 The Laurent series on the octonions. Zbl 1221.30112 Li, Xingmin; Zhao, Kai; Peng, Lizhong 14 2001 Carrier method for the general evaluation and control of pose, molecular conformation, tracking, and the like. Zbl 1187.15026 Hitzer, Eckhard; Tachibana, Kanta; Buchholz, Sven; Yu, Isseki 14 2009 \(R(4, 4)\) as a computational framework for 3-dimensional computer graphics. Zbl 1312.65020 Goldman, Ron; Mann, Stephen 14 2015 Fischer decomposition for difference Dirac operators. Zbl 1116.15023 Faustino, N.; Kähler, U. 14 2007 Hyperbolic function theory. Zbl 1129.30035 Eriksson, Sirkka-Liisa; Leutwiler, Heinz 14 2007 Hyperbolic extensions of integral formulas. Zbl 1203.30053 Eriksson, Sirkka-Liisa 14 2010 Double conformal geometric algebra. Zbl 1382.15035 Easter, Robert Benjamin; Hitzer, Eckhard 13 2017 Multidimensional quaternionic Gabor transforms. Zbl 1350.42015 Akila, Lakshmanan; Roopkumar, Rajakumar 13 2016 A system of coupled quaternion matrix equations with seven unknowns and its applications. Zbl 1414.15021 He, Zhuo-Heng 13 2019 General two-sided quaternion Fourier transform, convolution and mustard convolution. Zbl 1368.42009 Hitzer, Eckhard 13 2017 On the eigenvalues and eigenvectors of a Lorentzian rotation matrix by using split quaternions. Zbl 1298.15015 Özdemir, Mustafa; Erdoğdu, Melek; Şimşek, Hakan 13 2014 Geometric algebra enhanced precompiler for C++, OpenCL and Mathematica’s OpenCLLink. Zbl 1299.15001 Charrier, Patrick; Klimek, Mariusz; Steinmetz, Christian; Hildenbrand, Dietmar 13 2014 Symmetric functions and 3D fermion representation of \(W_{1+\infty}\) algebra. Zbl 1507.05103 Na, Wang; Yang, Bai; Zhennan, Cui; Ke, Wu 5 2023 On multi-conditioned conic fitting in geometric algebra for conics. Zbl 1523.15016 Loučka, Pavel; Vašík, Petr 3 2023 Graded symmetry groups: plane and simple. Zbl 1526.22015 Roelfs, Martin; De Keninck, Steven 2 2023 Dynamical systems of operators induced by scaled hypercomplex rings. Zbl 1525.46046 Alpay, Daniel; Cho, Ilwoo 2 2023 Pitt’s inequality and logarithmic uncertainty principle for the Clifford-Fourier transform. Zbl 1505.42012 Li, Shanshan; Fei, Minggang 2 2023 Biquaternionic treatment of inhomogeneous time-harmonic Maxwell’s equations over unbounded domains. Zbl 1516.35397 Delgado, Briceyda B.; Kravchenko, Vladislav V. 1 2023 Right-covariant differential calculus on Hopf superalgebra \(\mathbb{F}(\mathbb{C}_q^{2|1})\). Zbl 1515.81158 Celik, Salih 1 2023 Geometric invariant decomposition of \(\mathrm{SU}(3)\). Zbl 1509.15014 Roelfs, Martin 1 2023 Less is more: efficient networked VR transformation handling using geometric algebra. Zbl 07638056 Kamarianakis, Manos; Chrysovergis, Ilias; Lydatakis, Nick; Kentros, Mike; Papagiannakis, George 1 2023 The supergeometric algebra. Zbl 1515.81150 Hamilton, Andrew J. S. 1 2023 Two-sided Clifford-valued linear canonical transform: properties and Mustard convolution. Zbl 1512.15026 Teali, Aajaz A.; Shah, Firdous A. 1 2023 Bicomplex neural networks with hypergeometric activation functions. Zbl 07677704 Vieira, Nelson 1 2023 Riemann-Hilbert problems for axially symmetric monogenic functions in \(\mathbb{R}^{n+1}\). Zbl 1515.30112 Huang, Qian; He, Fuli; Ku, Min 1 2023 Beyond the 10-fold way: 13 associative \(\mathbb{Z}_2\times\mathbb{Z}_2\)-graded superdivision algebras. Zbl 07677708 Kuznetsova, Zhanna; Toppan, Francesco 1 2023 Beurling’s theorem in the Clifford algebras. Zbl 1517.42009 Tyr, Othman; Daher, Radouan 1 2023 Propagators beyond the standard model. Zbl 1526.81030 Bueno Rogerio, Rodolfo José; Fabbri, Luca 1 2023 A new way to construct the Riemann curvature tensor using geometric algebra and division algebraic structure. Zbl 1515.81215 Wolk, Brian Jonathan 1 2023 On some Lie groups in degenerate Clifford geometric algebras. Zbl 1527.15020 Filimoshina, Ekaterina; Shirokov, Dmitry 1 2023 Algorithmically solving the tadpole problem. Zbl 1484.81081 Bena, Iosif; Blåbäck, Johan; Graña, Mariana; Lüst, Severin 34 2022 MPCEP-\(*\)CEPMP-solutions of some restricted quaternion matrix equations. Zbl 1484.15014 Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag S. 4 2022 New applications of Clifford’s geometric algebra. Zbl 1490.15036 Breuils, Stephane; Tachibana, Kanta; Hitzer, Eckhard 4 2022 The sum and the product of two quadratic matrices: regular cases. Zbl 1497.15013 de Seguins Pazzis, Clément 4 2022 Weyl and Majorana spinors as pure Goldstone bosons. Zbl 1484.81058 Fabbri, Luca 4 2022 Clifford-valued Stockwell transform and the associated uncertainty principles. Zbl 1487.42020 Shah, Firdous A.; Teali, Aajaz A.; Bahri, Mawardi 3 2022 Correction to: “On specific conic intersections in GAC and symbolic calculations in GAALOPWeb”. Zbl 1481.15024 Byrtus, Roman; Derevianko, Anna; Vašík, Petr; Hildenbrand, Dietmar; Steinmetz, Christian 3 2022 Decomposition for a quaternion tensor triplet with applications. Zbl 1481.15027 He, Zhuo-Heng; Navasca, Carmeliza; Wang, Xiang-Xiang 3 2022 Isomorphisms of partial differential equations in Clifford analysis. Zbl 1492.30096 Alfonso Santiesteban, Daniel; Abreu Blaya, Ricardo 2 2022 The fixed points and cross-ratios of hyperbolic Möbius transformations in bicomplex space. Zbl 1502.30138 Chen, Litao; Dai, Binlin 2 2022 An online calculator for quantum computing operations based on geometric algebra. Zbl 07458051 Alves, R.; Hildenbrand, D.; Hrdina, J.; Lavor, C. 2 2022 A multiplication technique for the factorization of bivariate quaternionic polynomials. Zbl 1497.16027 Lercher, Johanna; Schröcker, Hans-Peter 2 2022 Ellipticity of some higher order conformally invariant differential operators. Zbl 1489.30049 Ding, Chao; Walter, Raymond; Ryan, John 1 2022 Deep learning Gauss-Manin connections. Zbl 1487.14128 Heal, Kathryn; Kulkarni, Avinash; Sertöz, Emre Can 1 2022 Special affine Fourier transform for space-time algebra signals in detail. Zbl 1503.42002 Hitzer, Eckhard 1 2022 Foundations for strip adjustment of airborne laserscanning data with conformal geometric algebra. Zbl 1478.15035 Hitzer, Eckhard; Benger, Werner; Niederwieser, Manfred; Baran, Ramona; Steinbacher, Frank 1 2022 Brownian motion, martingales and Itô formula in Clifford analysis. Zbl 1493.30096 Bernstein, Swanhild; Legatiuk, Dmitrii 1 2022 Formalizing geometric algebra in Lean. Zbl 1494.68307 Wieser, Eric; Song, Utensil 1 2022 Solving and algorithm to system of quaternion Sylvester-type matrix equations with \(\ast\)-Hermicity. Zbl 1501.15010 Rehman, Abdur; Kyrchei, Ivan I. 1 2022 Basis-free formulas for characteristic polynomial coefficients in geometric algebras. Zbl 1505.15019 Abdulkhaev, Kamron; Shirokov, Dmitry 1 2022 Representations of quaternion W-MPCEP, W-CEPMP and W-MPCEPMP inverses. Zbl 1492.15003 Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag S. 1 2022 A quaternion matrix equation with two different restrictions. Zbl 1464.15022 He, Zhuo-Heng; Wang, Meng 8 2021 On structure of inframonogenic functions. Zbl 1476.30159 Dinh, Doan Cong 8 2021 Geometric algebra of singular ruled surfaces. Zbl 1462.53002 Li, Yanlin; Wang, Zhigang; Zhao, Tiehong 7 2021 Solvability of new constrained quaternion matrix approximation problems based on core-EP inverses. Zbl 1456.15014 Kyrchei, Ivan; Mosić, Dijana; Stanimirović, Predrag S. 6 2021 Wavelet transform of Dini Lipschitz functions on the quaternion algebra. Zbl 1457.42049 Bouhlal, A.; Safouane, N.; Achak, A.; Daher, R. 6 2021 Quaternion Fourier transform and generalized Lipschitz classes. Zbl 1457.42019 Loualid, El Mehdi; Elgargati, Abdelghani; Daher, Radouan 6 2021 An introduction to hyperholomorphic spectral theories and fractional powers of vector operators. Zbl 07384103 Colombo, Fabrizio; Gantner, Jonathan; Pinton, Stefano 6 2021 A real method for solving quaternion matrix equation \(\mathbf{X}-\mathbf{A}\hat{\mathbf{X}}\mathbf{B} = \mathbf{C}\) based on semi-tensor product of matrices. Zbl 1478.15020 Ding, Wenxv; Li, Ying; Wang, Dong 5 2021 Generalized derivations and Rota-Baxter operators of \(n\)-ary Hom-Nambu superalgebras. 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G. 5 2020 ...and 984 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,526 Authors 67 Sommen, Franciscus 64 Bory Reyes, Juan 56 Abreu-Blaya, Ricardo 42 De Schepper, Hennie 38 Brackx, Fred F. 37 Hitzer, Eckhard 34 Eelbode, David 34 Kähler, Uwe 32 Kyrchei, Ivan I. 27 Sabadini, Irene 26 Yayli, Yusuf 23 Cerejeiras, Paula 23 Shirokov, Dmitry S. 22 Lavor, Carlile Campos 22 Soucek, Vladimir 22 Szynal-Liana, Anetta 21 Castro Perelman, Carlos 21 Ku, Min 20 Bahri, Mawardi 20 De Bie, Hendrik 20 Fabbri, Luca 20 González-Cervantes, José Óscar 20 Kraußhar, Rolf Sören 20 Lávička, Roman 20 Orelma, Heikki 20 Qiao, Yuying 19 El Haoui, Youssef 19 Eriksson, Sirkka-Liisa 19 Jiang, Tongsong 19 Kou, Kit-Ian 19 Tosun, Murat 17 Kravchenko, Vladislav V. 17 Peña Peña, Dixan 17 Qian, Tao 17 Vieira, Nelson 16 Colombo, Fabrizio 16 Morais, João Pedro 16 Ozdemir, Mustafa Kemal 16 Ren, Guangbin 16 Włoch, Iwona 15 Adán, Alí Guzmán 15 Bród, Dorota 15 Daher, Radouan 15 He, ZhuoHeng 15 Helmstetter, Jacques 15 Hrdina, Jaroslav 14 Abłamowicz, Rafał 14 Bock, Sebastian 14 Demir, Süleyman 14 Gürlebeck, Klaus 14 Mosić, Dijana 14 Vašík, Petr 14 Zayed, Mohra 13 Falcão, Maria Irene 13 Gök, İsmail 13 Ludkovsky, Sergey Victor 13 Návrat, Aleš 13 Reyes, Armando 13 Yang, Heju 12 Catarino, Paula Maria Machado Cruz 12 Gungor, Mehmet Ali 12 Li, Ying 12 Raeymaekers, Tim 12 Rodrigues, Waldyr Alves jun. 12 Stanimirović, Predrag S. 12 Tanişli, Murat 12 Vaz, Jayme jun. 11 Bueno Rogerio, Rodolfo José 11 Cerda-Morales, Gamaliel Cerda 11 Dinh, Doan Cong 11 He, Fuli 11 Korpinar, Talat 11 Lian, Pan 11 Mironov, Victor L. 11 Vanegas, Judith C. 11 Yuan, Hongfen 11 Yüce, Salim 10 Ashino, Ryuichi 10 Erişir, Tülay 10 Fahlaoui, Said 10 Flaut, Cristina 10 Gu, Yingqiu 10 Kisil, Vladimir V. 10 Leutwiler, Heinz 10 Li, Xingmin 10 Mursaleen, Mohammad 10 Sangwine, Stephen J. 10 Shpakivskyi, Vitalii Stanislavovich 10 Struppa, Daniele Carlo 10 Van Lancker, Peter 10 Wang, Gang 10 Yamaleev, Robert M. 10 Zaripov, Rinat G. 9 Bekar, Murat 9 Cação, Isabel 9 Chanyal, Bhupesh Chandra 9 Dang, Pei 9 Fauser, Bertfried 9 Fei, Minggang 9 Ghanmi, Allal ...and 2,426 more Authors all top 5 Cited in 409 Journals 736 Advances in Applied Clifford Algebras 94 Mathematical Methods in the Applied Sciences 78 Complex Analysis and Operator Theory 74 Complex Variables and Elliptic Equations 60 Journal of Mathematical Physics 50 Journal of Mathematical Analysis and Applications 44 International Journal of Theoretical Physics 44 International Journal of Geometric Methods in Modern Physics 43 Journal of High Energy Physics 35 Applied Mathematics and Computation 34 Linear and Multilinear Algebra 25 Journal of Geometry and Physics 23 Chaos, Solitons and Fractals 22 Communications in Algebra 21 Linear Algebra and its Applications 19 Computational Methods and Function Theory 18 Filomat 18 Integral Transforms and Special Functions 18 Mediterranean Journal of Mathematics 17 Computational and Applied Mathematics 17 Advances in Difference Equations 16 Advances in Mathematical Physics 16 Journal of Pseudo-Differential Operators and Applications 15 Foundations of Physics 14 Reports on Mathematical Physics 14 Results in Mathematics 14 Abstract and Applied Analysis 13 The Journal of Geometric Analysis 13 Journal of Inequalities and Applications 13 Communications de la Faculté des Sciences de l’Université d’Ankara. 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(English Edition) 6 Hacettepe Journal of Mathematics and Statistics 6 Banach Journal of Mathematical Analysis 5 Modern Physics Letters A 5 Letters in Mathematical Physics 5 Physica A 5 Theoretical and Mathematical Physics 5 Fortschritte der Physik 5 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 5 Czechoslovak Mathematical Journal 5 Journal of Geometry 5 Mathematische Nachrichten 5 Facta Universitatis. Series Mathematics and Informatics 5 Journal of Mathematical Imaging and Vision 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 The Journal of Analysis 5 Journal of Dynamical Systems and Geometric Theories ...and 309 more Journals all top 5 Cited in 62 Fields 783 Linear and multilinear algebra; matrix theory (15-XX) 717 Functions of a complex variable (30-XX) 442 Quantum theory (81-XX) 351 Number theory (11-XX) 302 Differential geometry (53-XX) 239 Harmonic analysis on Euclidean spaces (42-XX) 225 Partial differential equations (35-XX) 202 Nonassociative rings and algebras (17-XX) 196 Relativity and gravitational theory (83-XX) 127 Associative rings and algebras (16-XX) 122 Operator theory (47-XX) 116 Functional analysis (46-XX) 113 Numerical analysis (65-XX) 97 Information and communication theory, circuits (94-XX) 96 Mechanics of particles and systems (70-XX) 94 Geometry (51-XX) 94 Computer science (68-XX) 83 Combinatorics (05-XX) 82 Global analysis, analysis on manifolds (58-XX) 76 Integral transforms, operational calculus (44-XX) 75 Several complex variables and analytic spaces (32-XX) 74 Ordinary differential equations (34-XX) 69 Group theory and generalizations (20-XX) 68 Topological groups, Lie groups (22-XX) 67 Special functions (33-XX) 60 Optics, electromagnetic theory (78-XX) 54 Algebraic geometry (14-XX) 48 Abstract harmonic analysis (43-XX) 45 Potential theory (31-XX) 44 Approximations and expansions (41-XX) 43 Biology and other natural sciences (92-XX) 41 Real functions (26-XX) 39 Dynamical systems and ergodic theory (37-XX) 36 Statistical mechanics, structure of matter (82-XX) 31 Systems theory; control (93-XX) 26 Probability theory and stochastic processes (60-XX) 25 Difference and functional equations (39-XX) 21 Measure and integration (28-XX) 20 Field theory and polynomials (12-XX) 20 Manifolds and cell complexes (57-XX) 20 Fluid mechanics (76-XX) 19 Mechanics of deformable solids (74-XX) 18 Commutative algebra (13-XX) 18 Integral equations (45-XX) 18 Operations research, mathematical programming (90-XX) 16 Category theory; homological algebra (18-XX) 13 Statistics (62-XX) 12 Convex and discrete geometry (52-XX) 12 General topology (54-XX) 8 Astronomy and astrophysics (85-XX) 7 History and biography (01-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Algebraic topology (55-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Geophysics (86-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 General and overarching topics; collections (00-XX) 4 Mathematics education (97-XX) 3 Sequences, series, summability (40-XX) 2 Mathematical logic and foundations (03-XX) 2 \(K\)-theory (19-XX) 2 Classical thermodynamics, heat transfer (80-XX) Citations by Year