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: 1,576 Publications (since 1991) References Indexed: 1,164 Publications with 27,003 References. all top 5 Latest Issues 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) 5, No. 1 (1995) 4, No. 2 (1994) ...and 4 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 Yamaleev, Robert M. 11 Anglès, Pierre 11 Catoni, Francesco 11 Gürlebeck, Klaus 11 Kyrchei, Ivan I. 11 Orelma, Heikki 11 Vašík, Petr 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 Gu, Yingqiu 7 Lasenby, Anthony N. 7 Lávička, Roman 7 Opfer, Gerhard 7 Sabadini, Irene 7 Shpakivskyi, Vitalii Stanislavovich 7 Yu, Xuegang 6 Abramov, Viktor 6 Breuils, Stéphane 6 Cannata, Roberto 6 Dvoeglazov, Valeri V. 6 El Kinani, El Hassan 6 Fabbri, Luca 6 Fernández Guasti, Manuel 6 Fuchs, Laurent 6 González-Cervantes, José Óscar 6 Gungor, Mehmet Ali 6 Jiang, Tongsong 6 Karakuş, Fatma 6 Lasenby, Joan 6 Li, Xingmin 6 Lian, Pan 6 Luna-Elizarrarás, María Elena 6 Malonek, Helmuth Robert 6 Mann, Stephen 6 Qiao, Yuying 6 Schmeikal, Bernd 6 Shapiro, Michael V. 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 5 Giardino, Sergio 5 Gök, İsmail 5 Halıcı, Serpil ...and 1,275 more Authors all top 5 Fields 718 Linear and multilinear algebra; matrix theory (15-XX) 351 Functions of a complex variable (30-XX) 277 Quantum theory (81-XX) 195 Differential geometry (53-XX) 150 Number theory (11-XX) 132 Partial differential equations (35-XX) 129 Relativity and gravitational theory (83-XX) 112 Nonassociative rings and algebras (17-XX) 84 Associative rings and algebras (16-XX) 75 Geometry (51-XX) 68 Mechanics of particles and systems (70-XX) 67 Harmonic analysis on Euclidean spaces (42-XX) 65 Computer science (68-XX) 62 Numerical analysis (65-XX) 57 Global analysis, analysis on manifolds (58-XX) 51 Functional analysis (46-XX) 50 Optics, electromagnetic theory (78-XX) 49 Group theory and generalizations (20-XX) 49 Topological groups, Lie groups (22-XX) 49 Operator theory (47-XX) 44 Information and communication theory, circuits (94-XX) 38 Several complex variables and analytic spaces (32-XX) 30 Algebraic geometry (14-XX) 29 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) 15 Abstract harmonic analysis (43-XX) 14 Real functions (26-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) 10 Approximations and expansions (41-XX) 9 Measure and integration (28-XX) 9 Difference and functional equations (39-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) 5 Category theory; homological algebra (18-XX) 5 Convex and discrete geometry (52-XX) 5 Algebraic topology (55-XX) 5 Statistics (62-XX) 4 Mathematical logic and foundations (03-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 1,057 Publications have been cited 5,378 times in 2,580 Documents Cited by ▼ Year ▼ Quaternion Fourier transform on quaternion fields and generalizations. Zbl 1143.42006Hitzer, Eckhard M. S. 106 2007 On Fibonacci quaternions. Zbl 1329.11016Halici, Serpil 64 2012 The Hermitian Clifford analysis toolbox. Zbl 1177.30064Brackx, Fred; De Schepper, Hennie; Sommen, Frank 53 2008 Directional uncertainty principle for quaternion Fourier transform. Zbl 1198.42006Hitzer, Eckhard M. S. 49 2010 Clifford Fourier transform on multivector fields and uncertainty principles for dimensions \(n=2\pmod 4\) and \(n=3\pmod 4\). Zbl 1177.15029Hitzer, Eckhard M. S.; Mawardi, Bahri 49 2008 Applications of Clifford’s geometric algebra. Zbl 1269.15022Hitzer, Eckhard; Nitta, Tohru; Kuroe, Yasuaki 48 2013 Clifford Fourier transformation and uncertainty principle for the Clifford geometric algebra \(\mathrm{Cl}_{3,0}\). Zbl 1133.42305Mawardi, Bahri; Hitzer, Eckhard S. M. 35 2006 Models for irreducible representations of Spin\((m)\). Zbl 1221.22016van Lancker, P.; Sommen, Frank; Constales, D. 32 2001 On generalized Fibonacci quaternions and Fibonacci-Narayana quaternions. Zbl 1330.11009Flaut, Cristina; Shpakivskyi, Vitalii 32 2013 Determinantal representations of solutions to systems of quaternion matrix equations. Zbl 1391.15057Kyrchei, Ivan 31 2018 Fibonacci generalized quaternions. Zbl 1321.11020Akyiğit, Mahmut; Hüda Kösal, Hidayet; Tosun, Murat 30 2014 The Pell quaternions and the Pell octonions. Zbl 1344.11027Szynal-Liana, Anetta; Włoch, Iwona 29 2016 The octonionic eigenvalue problem. Zbl 0927.15007Dray, Tevian; Manogue, Corinne A. 29 1998 ELKO, flagpole and flag-dipole spinor fields, and the instanton Hopf fibration. Zbl 1202.81237da Rocha, R.; Hoff da Silva, J. M. 29 2010 Bicomplex quantum mechanics. II: The Hilbert space. Zbl 1142.81010Rochon, D.; Tremblay, S. 28 2006 On Pell quaternions and Pell-Lucas quaternions. Zbl 1344.11022Çimen, Cennet Bolat; İpek, Ahmet 27 2016 Discrete Dirac operators in Clifford analysis. Zbl 1208.30046Faustino, Nelson; Kähler, Uwe; Sommen, Frank 27 2007 Introduction to hybrid numbers. Zbl 1394.11024Özdemir, Mustafa 26 2018 Cramer’s rules for Sylvester quaternion matrix equation and its special cases. Zbl 1404.15013Kyrchei, Ivan 26 2018 Split Fibonacci quaternions. Zbl 1328.11016Akyiǧit, Mahmut; Kösal, Hidayet Hüda; Tosun, Murat 26 2013 Matrix representations of octonions and their applications. Zbl 0974.15012Tian, Yongge 26 2000 Holomorphic Cliffordian functions. Zbl 0940.30028Laville, Guy; Ramadanoff, Ivan 25 1998 On complex Fibonacci quaternions. Zbl 1270.11012Halici, Serpil 25 2013 Bicomplex quantum mechanics. I: The generalized Schrödinger equation. Zbl 1169.81339Rochon, D.; Tremblay, S. 24 2004 A note on Jacobsthal quaternions. Zbl 1335.11095Szynal-Liana, Anetta; Włoch, Iwona 23 2016 Finite-dimensional bicomplex Hilbert spaces. Zbl 1237.46009Gervais Lavoie, Raphaël; Marchildon, Louis; Rochon, Dominic 23 2011 Algorithmically solving the tadpole problem. Zbl 1484.81081Bena, Iosif; Blåbäck, Johan; Graña, Mariana; Lüst, Severin 23 2022 On eigenvalues of split quaternion matrices. Zbl 1296.15005Erdoğdu, Melek; Özdemir, Mustafa 22 2013 Mathematics of Clifford – a Maple package for Clifford and Graßmann algebras. Zbl 1099.65520Ablamowicz, Rafal; Fauser, Bertfried 22 2005 Unitary spaces on Clifford algebras. Zbl 1156.15015Marchuk, N. G.; Shirokov, D. S. 22 2008 Correct rules for Clifford calculus on superspace. Zbl 1129.30034De Bie, Hendrik; Sommen, Frank 22 2007 The theory of local mass dimension one fermions of spin one half. Zbl 1386.81150Ahluwalia, Dharam Vir 21 2017 Quaternionic formulation of the classical fields. Zbl 0943.35092Majerník, V. 21 1999 Biquaternion (complexified quaternion) roots of \(- 1\). Zbl 1107.30038Sangwine, Stephen J. 21 2006 On Appell sets and the Fueter-Sce mapping. Zbl 1170.30023Gürlebeck, Norman 21 2009 Hyperbolic calculus. Zbl 0922.30035Motter, A. E.; Rosa, M. A. F. 20 1998 Nonlinear \(A\)-Dirac equations. Zbl 1253.30073Nolder, Craig A. 20 2011 Special monogenic polynomials and \(L_2\)-approximation. Zbl 1221.30100Cação, I.; Gürlebeck, K.; Malonek, H. 20 2001 The spacetime algebra approach to massive classical electrodynamics with magnetic monopoles. Zbl 1113.78003Cafaro, C.; Ali, S. A. 20 2007 Clifford multivector toolbox (for MATLAB). Zbl 1407.68566Sangwine, Stephen J.; Hitzer, Eckhard 20 2017 Clifford algebra and the discretizable molecular distance geometry problem. Zbl 1327.15052Lavor, Carlile; Alves, Rafael; Figueiredo, Weber; Petraglia, Antonio; Maculan, Nelson 19 2015 An introduction to commutative quaternions. Zbl 1207.30073Catoni, Francesco; Cannata, Roberto; Zampetti, Paolo 19 2006 On the Riemann Hilbert type problems in Clifford analysis. Zbl 1061.30033Abreu Blaya, Ricardo; Bory Reyes, Juan 19 2001 The Balian-Low theorem for the windowed quaternionic Fourier transform. Zbl 1256.42044Fu, Yingxiong; Kähler, Uwe; Cerejeiras, Paula 18 2012 Determinantal representations of the quaternion core inverse and its generalizations. Zbl 1436.15004Kyrchei, Ivan 18 2019 A modified uncertainty principle for two-sided quaternion Fourier transform. Zbl 1342.42009Bahri, Mawardi 17 2016 The modified Pell and the modified \(k\)-Pell quaternions and octonions. Zbl 1380.11010Catarino, Paula 17 2016 On the quaternionic \(B _{2}\)-slant helices in the Euclidean space \(E ^{4}\). Zbl 1239.53002Gök, İsmail; Okuyucu, O. Zeki; Kahraman, Ferdağ; Hacisalihoğlu, H. Hilmi 17 2011 On finite difference Dirac operators and their fundamental solutions. Zbl 1221.30107Gürlebeck, Klaus; Hommel, Angela 17 2001 Interactive 3D space group visualization with CLUCalc and the Clifford geometric algebra description of space groups. Zbl 1242.20060Hitzer, Eckhard; Perwass, Christian 17 2010 The Fibonacci octonions. Zbl 1375.11015Keçilioğlu, Osman; Akkus, Ilker 17 2015 \(p\)-Dirac operators. Zbl 1170.53028Nolder, Craig A.; Ryan, John 17 2009 The Howe duality for the Dunkl version of the Dirac operator. Zbl 1404.17018Ørsted, Bent; Somberg, Petr; Souček, Vladimír 17 2009 Some algebraic and analytical properties of coquaternion algebra. Zbl 1186.37053Pogoruy, Anatoliy A.; Rodríguez-Dagnino, Ramón M. 17 2010 On Hermitian solutions of the split quaternion matrix equation \(AXB+CXD=E\). Zbl 1386.15036Yuan, Shi-Fang; Wang, Qing-Wen; Yu, Yi-Bin; Tian, Yong 17 2017 Geometric algebra to model uncertainties in the discretizable molecular distance geometry problem. Zbl 1373.92148Alves, Rafael; Lavor, Carlile 17 2017 Structure, properties and applications of some simultaneous decompositions for quaternion matrices involving \(\phi\)-skew-Hermicity. Zbl 1409.15017He, Zhuo-Heng 17 2019 Canal surfaces with quaternions. Zbl 1339.53018Aslan, Selahattin; Yaylı, Yusuf 16 2016 An improved Cauchy formula for hypermonogenic functions. Zbl 1172.30027Eriksson, Sirkka-Liisa; Leutwiler, Heinz 16 2009 A new adjacency matrix for finite graphs. Zbl 1194.05099Staples, George Stacey 16 2008 Computations with Clifford and Grassmann algebras. Zbl 1182.65068Abłamowicz, Rafał 16 2009 Two-dimensional geometries, topologies, trigonometries and physics generated by complex-type numbers. Zbl 1052.83004Fjelstad, Paul; Gal, Sorin G. 16 2001 On monogenic series expansions with applications to linear elasticity. Zbl 1310.33007Bock, Sebastian 15 2014 On linear functionals and Hahn-Banach theorems for hyperbolic and bicomplex modules. Zbl 1308.30059Luna-Elizarrarás, M. E.; Perez-Regalado, C. O.; Shapiro, M. 15 2014 A general geometric Fourier transform convolution theorem. Zbl 1263.15021Bujack, Roxana; Scheuermann, Gerik; Hitzer, Eckhard 15 2013 Cayley formula, Euler parameters and rotations in 3-dimensional Lorentzian space. Zbl 1197.15015Özkaldı, Sıddıka; Gündoğan, Halit 15 2010 Hyperbolic quaternion formulation of electromagnetism. Zbl 1203.78005Demir, Süleyman; Tanışlı, Murat; Candemir, Nuray 15 2010 Clifford Cauchy type integrals on Ahlfors-David regular surfaces in \(\mathbb R^{m+1}\). Zbl 1100.30032Abreu Blaya, Ricardo; Peña Peña, Dixan; Bory Reyes, Juan 15 2003 A constraint system of generalized Sylvester quaternion matrix equations. Zbl 1386.15035Rehman, Abdur; Wang, Qing-Wen; Ali, Ilyas; Akram, Muhammad; Ahmad, M. O. 15 2017 Topological bicomplex modules. Zbl 1369.30060Kumar, Romesh; Saini, Heera 15 2016 \(n\)-dimensional hyperbolic complex numbers. Zbl 0937.30029Fjelstad, Paul; Gal, Sorin G. 14 1998 Geometric roots of \(-1\) in Clifford algebras \(C \ell_{p,q}\) with \(p + q \leq 4\). Zbl 1216.15019Hitzer, Eckhard; Abłamowicz, Rafał 14 2011 Hypermonogenic functions and Möbius transformations. Zbl 1221.30105Eriksson-Bique, Sirkka-Liisa; Leutwiler, Heinz 14 2001 The Laurent series on the octonions. Zbl 1221.30112Li, Xingmin; Zhao, Kai; Peng, Lizhong 14 2001 Spinor Bishop equations of curves in Euclidean 3-space. Zbl 1287.53003Ünal, Doğan; Kisi, İlim; Tosun, Murat 14 2013 Hyperbolic extensions of integral formulas. Zbl 1203.30053Eriksson, Sirkka-Liisa 14 2010 \(R(4, 4)\) as a computational framework for 3-dimensional computer graphics. Zbl 1312.65020Goldman, Ron; Mann, Stephen 14 2015 An algorithm for coneigenvalues and coneigenvectors of quaternion matrices. Zbl 1318.15005Ling, Sitao; Cheng, Xuehan; Jiang, Tongsong 14 2015 Boundary value problems for quaternionic monogenic functions on non-smooth surfaces. Zbl 0948.30047Abreu Blaya, Ricardo; Bory Reyes, Juan 14 1999 Carrier method for the general evaluation and control of pose, molecular conformation, tracking, and the like. Zbl 1187.15026Hitzer, Eckhard; Tachibana, Kanta; Buchholz, Sven; Yu, Isseki 14 2009 \(\sigma \)-PBW extensions of skew Armendariz rings. Zbl 1392.16021Reyes, Armando; Suárez, Héctor 14 2017 Hyperbolic function theory. Zbl 1129.30035Eriksson, Sirkka-Liisa; Leutwiler, Heinz 14 2007 Donoho-Stark’s uncertainty principles in real Clifford algebras. Zbl 1428.43004El Haoui, Youssef; Fahlaoui, Said 14 2019 Novel uncertainty principles for two-sided quaternion linear canonical transform. Zbl 1392.81164Zhang, Yan-Na; Li, Bing-Zhao 13 2018 Double conformal geometric algebra. Zbl 1382.15035Easter, Robert Benjamin; Hitzer, Eckhard 13 2017 Tighter uncertainty principles based on quaternion Fourier transform. Zbl 1338.42013Yang, Yan; Dang, Pei; Qian, Tao 13 2016 Multidimensional quaternionic Gabor transforms. Zbl 1350.42015Akila, Lakshmanan; Roopkumar, Rajakumar 13 2016 Complete families of solutions for the Dirac equation using bicomplex function theory and transmutations. Zbl 1257.30051Campos, Hugo M.; Kravchenko, Vladislav V.; Méndez, Luis M. 13 2012 Riemann boundary value problems on the sphere in Clifford analysis. Zbl 1262.30056Ku, Min; Kähler, Uwe; Wang, Daoshun 13 2012 Fischer decomposition for difference Dirac operators. Zbl 1116.15023Faustino, N.; Kähler, U. 13 2007 On the integral representation of spherical \(k\)-regular functions in Clifford analysis. Zbl 1167.35327Min, Ku; Jinyuan, Du 13 2009 On the eigenvalues and eigenvectors of a Lorentzian rotation matrix by using split quaternions. Zbl 1298.15015Özdemir, Mustafa; Erdoğdu, Melek; Şimşek, Hakan 13 2014 Geometric algebra enhanced precompiler for C++, OpenCL and Mathematica’s OpenCLLink. Zbl 1299.15001Charrier, Patrick; Klimek, Mariusz; Steinmetz, Christian; Hildenbrand, Dietmar 13 2014 Super 3-Lie algebras induced by super Lie algebras. Zbl 1419.17005Abramov, Viktor 13 2017 Quaternionic approach of canal surfaces constructed by some new ideas. Zbl 1405.53003Gök, İsmail 13 2017 A system of coupled quaternion matrix equations with seven unknowns and its applications. Zbl 1414.15021He, Zhuo-Heng 13 2019 On split \(k\)-Fibonacci and \(k\)-Lucas quaternions. Zbl 1344.11023Polatli, Emrah; Kizilates, Can; Kesim, Seyhun 12 2016 Universal similarity factorization equalities over real Clifford algebras. Zbl 0926.15026Tian, Yongge 12 1998 Real matrix representations for the complex quaternions. Zbl 1290.15020Flaut, Cristina; Shpakivskyi, Vitalii 12 2013 On generalization of Martinelli-Bochner integral formula using Clifford analysis. Zbl 1206.30069Ku, Min; Du, Jinyuan; Wang, Daoshun 12 2010 Graded symmetry groups: plane and simple. Zbl 07687970Roelfs, Martin; De Keninck, Steven 2 2023 Dynamical systems of operators induced by scaled hypercomplex rings. Zbl 07687973Alpay, Daniel; Cho, Ilwoo 2 2023 Pitt’s inequality and logarithmic uncertainty principle for the Clifford-Fourier transform. Zbl 1505.42012Li, Shanshan; Fei, Minggang 2 2023 Symmetric functions and 3D fermion representation of \(W_{1+\infty}\) algebra. Zbl 1507.05103Na, Wang; Yang, Bai; Zhennan, Cui; Ke, Wu 2 2023 The supergeometric algebra. Zbl 1515.81150Hamilton, Andrew J. S. 1 2023 Two-sided Clifford-valued linear canonical transform: properties and Mustard convolution. Zbl 1512.15026Teali, Aajaz A.; Shah, Firdous A. 1 2023 Bicomplex neural networks with hypergeometric activation functions. Zbl 07677704Vieira, Nelson 1 2023 Beyond the 10-fold way: 13 associative \(\mathbb{Z}_2\times\mathbb{Z}_2\)-graded superdivision algebras. Zbl 07677708Kuznetsova, Zhanna; Toppan, Francesco 1 2023 On multi-conditioned conic fitting in geometric algebra for conics. Zbl 07687971Loučka, Pavel; Vašík, Petr 1 2023 Beurling’s theorem in the Clifford algebras. Zbl 1517.42009Tyr, Othman; Daher, Radouan 1 2023 Propagators beyond the standard model. Zbl 07701782Bueno Rogerio, Rodolfo José; Fabbri, Luca 1 2023 On some Lie groups in degenerate Clifford geometric algebras. Zbl 07727040Filimoshina, Ekaterina; Shirokov, Dmitry 1 2023 Less is more: efficient networked VR transformation handling using geometric algebra. Zbl 07638056Kamarianakis, Manos; Chrysovergis, Ilias; Lydatakis, Nick; Kentros, Mike; Papagiannakis, George 1 2023 Algorithmically solving the tadpole problem. Zbl 1484.81081Bena, Iosif; Blåbäck, Johan; Graña, Mariana; Lüst, Severin 23 2022 The sum and the product of two quadratic matrices: regular cases. Zbl 1497.15013de Seguins Pazzis, Clément 3 2022 MPCEP-\(*\)CEPMP-solutions of some restricted quaternion matrix equations. Zbl 1484.15014Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag S. 3 2022 New applications of Clifford’s geometric algebra. Zbl 1490.15036Breuils, Stephane; Tachibana, Kanta; Hitzer, Eckhard 3 2022 Clifford-valued Stockwell transform and the associated uncertainty principles. Zbl 1487.42020Shah, Firdous A.; Teali, Aajaz A.; Bahri, Mawardi 2 2022 An online calculator for quantum computing operations based on geometric algebra. Zbl 07458051Alves, R.; Hildenbrand, D.; Hrdina, J.; Lavor, C. 2 2022 Correction to: “On specific conic intersections in GAC and symbolic calculations in GAALOPWeb”. Zbl 1481.15024Byrtus, Roman; Derevianko, Anna; Vašík, Petr; Hildenbrand, Dietmar; Steinmetz, Christian 2 2022 Decomposition for a quaternion tensor triplet with applications. Zbl 1481.15027He, Zhuo-Heng; Navasca, Carmeliza; Wang, Xiang-Xiang 2 2022 Representations of quaternion W-MPCEP, W-CEPMP and W-MPCEPMP inverses. Zbl 1492.15003Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag S. 1 2022 Formalizing geometric algebra in Lean. Zbl 1494.68307Wieser, Eric; Song, Utensil 1 2022 Basis-free formulas for characteristic polynomial coefficients in geometric algebras. Zbl 1505.15019Abdulkhaev, Kamron; Shirokov, Dmitry 1 2022 Special affine Fourier transform for space-time algebra signals in detail. Zbl 1503.42002Hitzer, Eckhard 1 2022 Weyl and Majorana spinors as pure Goldstone bosons. Zbl 1484.81058Fabbri, Luca 1 2022 A multiplication technique for the factorization of bivariate quaternionic polynomials. Zbl 1497.16027Lercher, Johanna; Schröcker, Hans-Peter 1 2022 Isomorphisms of partial differential equations in Clifford analysis. Zbl 1492.30096Alfonso Santiesteban, Daniel; Abreu Blaya, Ricardo 1 2022 Ellipticity of some higher order conformally invariant differential operators. Zbl 1489.30049Ding, Chao; Walter, Raymond; Ryan, John 1 2022 Foundations for strip adjustment of airborne laserscanning data with conformal geometric algebra. Zbl 1478.15035Hitzer, Eckhard; Benger, Werner; Niederwieser, Manfred; Baran, Ramona; Steinbacher, Frank 1 2022 A quaternion matrix equation with two different restrictions. Zbl 1464.15022He, Zhuo-Heng; Wang, Meng 7 2021 An introduction to hyperholomorphic spectral theories and fractional powers of vector operators. Zbl 07384103Colombo, Fabrizio; Gantner, Jonathan; Pinton, Stefano 6 2021 Some results for the two-sided quaternionic Gabor Fourier transform and quaternionic Gabor frame operator. Zbl 1456.42042Li, Jinxia; He, Jianxun 5 2021 Solvability of new constrained quaternion matrix approximation problems based on core-EP inverses. Zbl 1456.15014Kyrchei, Ivan; Mosić, Dijana; Stanimirović, Predrag S. 5 2021 On structure of inframonogenic functions. Zbl 1476.30159Dinh, Doan Cong 4 2021 A fiber bundle over the quaternionic slice regular functions. Zbl 1481.30032González-Cervantes, J. Oscar 4 2021 Ternary Clifford algebras. Zbl 1461.30115Cerejeiras, P.; Vajiac, M. 4 2021 Linear canonical wavelet transform in quaternion domains. 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Zbl 1460.68132Hildenbrand, Dietmar; Steinmetz, Christian; Tichý, Radek 2 2020 ...and 957 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,338 Authors 67 Sommen, Franciscus 62 Bory Reyes, Juan 53 Abreu-Blaya, Ricardo 42 De Schepper, Hennie 38 Brackx, Fred F. 36 Hitzer, Eckhard 34 Eelbode, David 31 Kähler, Uwe 30 Kyrchei, Ivan I. 25 Yayli, Yusuf 23 Shirokov, Dmitry S. 22 Soucek, Vladimir 21 Castro Perelman, Carlos 21 Sabadini, Irene 20 Bahri, Mawardi 20 Cerejeiras, Paula 20 De Bie, Hendrik 20 Lávička, Roman 20 Lavor, Carlile Campos 19 Kraußhar, Rolf Sören 19 Orelma, Heikki 19 Szynal-Liana, Anetta 19 Tosun, Murat 18 Eriksson, Sirkka-Liisa 18 Ku, Min 18 Qiao, Yuying 17 Fabbri, Luca 17 González-Cervantes, José Óscar 17 Kravchenko, Vladislav V. 17 Peña Peña, Dixan 17 Qian, Tao 17 Vieira, Nelson 16 El Haoui, Youssef 16 Jiang, Tongsong 16 Ren, Guangbin 15 Adán, Alí Guzmán 15 He, ZhuoHeng 15 Helmstetter, Jacques 15 Hrdina, Jaroslav 15 Morais, João Pedro 14 Abłamowicz, Rafał 14 Bock, Sebastian 14 Gürlebeck, Klaus 14 Włoch, Iwona 13 Colombo, Fabrizio 13 Falcão, Maria Irene 13 Gök, İsmail 13 Ludkovsky, Sergey Victor 13 Návrat, Aleš 13 Ozdemir, Mustafa Kemal 13 Vašík, Petr 12 Bród, Dorota 12 Daher, Radouan 12 Kou, Kit-Ian 12 Mosić, Dijana 12 Raeymaekers, Tim 12 Rodrigues, Waldyr Alves jun. 12 Vaz, Jayme jun. 12 Yang, Heju 11 Cerda-Morales, Gamaliel Cerda 11 Demir, Süleyman 11 Lian, Pan 11 Reyes, Armando 11 Stanimirović, Predrag S. 11 Vanegas, Judith C. 11 Yuan, Hongfen 11 Yüce, Salim 10 Ashino, Ryuichi 10 Bueno Rogerio, Rodolfo José 10 Dinh, Doan Cong 10 Erişir, Tülay 10 Flaut, Cristina 10 Gu, Yingqiu 10 Gungor, Mehmet Ali 10 Leutwiler, Heinz 10 Li, Xingmin 10 Sangwine, Stephen J. 10 Struppa, Daniele Carlo 10 Van Lancker, Peter 10 Yamaleev, Robert M. 10 Zayed, Mohra 9 Cação, Isabel 9 Catarino, Paula Maria Machado Cruz 9 Fauser, Bertfried 9 Fei, Minggang 9 He, Fuli 9 Keller, Jaime 9 Li, Yongkun 9 Luna-Elizarrarás, María Elena 9 Malonek, Helmuth Robert 9 Marchuk, Nikolaĭ Gur’evich 9 Mironov, Sergey V. 9 Mironov, Victor L. 9 Mursaleen, Mohammad 9 Nielsen, Lance 9 Shapiro, Michael V. 9 Shpakivskyi, Vitalii Stanislavovich 9 Tanişli, Murat 9 Zaripov, Rinat G. 8 Abramov, Viktor ...and 2,238 more Authors all top 5 Cited in 387 Journals 720 Advances in Applied Clifford Algebras 71 Complex Variables and Elliptic Equations 70 Complex Analysis and Operator Theory 57 Journal of Mathematical Physics 53 Mathematical Methods in the Applied Sciences 50 Journal of Mathematical Analysis and Applications 43 International Journal of Theoretical Physics 35 Applied Mathematics and Computation 32 Linear and Multilinear Algebra 31 Journal of High Energy Physics 30 International Journal of Geometric Methods in Modern Physics 23 Chaos, Solitons and Fractals 23 Journal of Geometry and Physics 21 Communications in Algebra 20 Linear Algebra and its Applications 18 Filomat 18 Computational Methods and Function Theory 17 Integral Transforms and Special Functions 17 Advances in Difference Equations 16 Advances in Mathematical Physics 16 Journal of Pseudo-Differential Operators and Applications 15 Computational and Applied Mathematics 14 Reports on Mathematical Physics 14 Abstract and Applied Analysis 14 Mediterranean Journal of Mathematics 14 Foundations of Physics 13 Results in Mathematics 13 Journal of Inequalities and Applications 13 Communications de la Faculté des Sciences de l’Université d’Ankara. 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RACSAM 8 Journal of Mathematics 8 AIMS Mathematics 7 Computers & Mathematics with Applications 7 Ukrainian Mathematical Journal 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Proceedings of the American Mathematical Society 7 International Journal of Modern Physics D 7 Fractals 7 Qualitative Theory of Dynamical Systems 7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 7 Journal of Applied Mathematics and Computing 7 Journal of Physics A: Mathematical and Theoretical 7 Asian-European Journal of Mathematics 7 Symmetry 7 Palestine Journal of Mathematics 7 Journal of Function Spaces 6 Rocky Mountain Journal of Mathematics 6 Advances in Mathematics 6 Journal of Computational and Applied Mathematics 6 Journal of Global Optimization 6 Boletín de la Sociedad Matemática Mexicana. Third Series 6 Mathematical Physics, Analysis and Geometry 6 Journal of Discrete Mathematical Sciences & Cryptography 6 Acta Mathematica Sinica. English Series 6 Hacettepe Journal of Mathematics and Statistics 5 Modern Physics Letters A 5 Journal of the Franklin Institute 5 Nuclear Physics. B 5 Physica A 5 Theoretical and Mathematical Physics 5 Beiträge zur Algebra und Geometrie 5 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 5 Journal of Geometry 5 Mathematische Nachrichten 5 Journal of Mathematical Imaging and Vision 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 The Journal of Fourier Analysis and Applications 5 Annales Mathematicae Silesianae 5 Journal of Dynamical Systems and Geometric Theories 5 Open Mathematics 4 Classical and Quantum Gravity 4 Discrete Applied Mathematics 4 Israel Journal of Mathematics 4 Letters in Mathematical Physics 4 Czechoslovak Mathematical Journal 4 Journal of Functional Analysis 4 Mathematics and Computers in Simulation 4 Mathematische Zeitschrift ...and 287 more Journals all top 5 Cited in 62 Fields 735 Linear and multilinear algebra; matrix theory (15-XX) 665 Functions of a complex variable (30-XX) 396 Quantum theory (81-XX) 330 Number theory (11-XX) 274 Differential geometry (53-XX) 211 Partial differential equations (35-XX) 207 Harmonic analysis on Euclidean spaces (42-XX) 185 Nonassociative rings and algebras (17-XX) 181 Relativity and gravitational theory (83-XX) 115 Associative rings and algebras (16-XX) 105 Numerical analysis (65-XX) 101 Operator theory (47-XX) 98 Functional analysis (46-XX) 90 Computer science (68-XX) 90 Mechanics of particles and systems (70-XX) 90 Information and communication theory, circuits (94-XX) 88 Geometry (51-XX) 77 Combinatorics (05-XX) 73 Global analysis, analysis on manifolds (58-XX) 66 Ordinary differential equations (34-XX) 65 Several complex variables and analytic spaces (32-XX) 65 Special functions (33-XX) 64 Group theory and generalizations (20-XX) 60 Integral transforms, operational calculus (44-XX) 59 Topological groups, Lie groups (22-XX) 54 Optics, electromagnetic theory (78-XX) 48 Algebraic geometry (14-XX) 43 Abstract harmonic analysis (43-XX) 41 Potential theory (31-XX) 40 Approximations and expansions (41-XX) 37 Biology and other natural sciences (92-XX) 36 Dynamical systems and ergodic theory (37-XX) 34 Statistical mechanics, structure of matter (82-XX) 31 Systems theory; control (93-XX) 28 Real functions (26-XX) 26 Probability theory and stochastic processes (60-XX) 24 Difference and functional equations (39-XX) 21 Measure and integration (28-XX) 19 Field theory and polynomials (12-XX) 18 Manifolds and cell complexes (57-XX) 18 Mechanics of deformable solids (74-XX) 17 Integral equations (45-XX) 17 Fluid mechanics (76-XX) 17 Operations research, mathematical programming (90-XX) 16 Commutative algebra (13-XX) 15 Category theory; homological algebra (18-XX) 13 Statistics (62-XX) 12 Convex and discrete geometry (52-XX) 8 History and biography (01-XX) 8 Astronomy and astrophysics (85-XX) 7 General topology (54-XX) 7 Algebraic topology (55-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Geophysics (86-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Mathematics education (97-XX) 4 General and overarching topics; collections (00-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