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Advances in Applied Clifford Algebras

Short Title: Adv. Appl. Clifford Algebr.
Publisher: Springer (Birkhäuser), Basel
ISSN: 0188-7009; 1661-4909/e
Online: http://link.springer.com/journal/volumesAndIssues/6
Comments: Indexed cover-to-cover
Documents Indexed: 1,511 Publications (since 1991)
References Indexed: 1,100 Publications with 25,271 References.
all top 5

Latest Issues

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)
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12, Suppl. 1 (2002)
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11, No. 1 (2001)
11, Suppl. 2 (2001)
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10, No. 2 (2000)
10, No. 1 (2000)
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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)
4, No. 1 (1994)
3, No. 2 (1993)
3, No. 1 (1993)
2, No. 2 (1992)
2, No. 1 (1992)
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Authors

36 Hitzer, Eckhard
31 Casanova, Gaston
26 Sommen, Franciscus
24 Keller, Jaime
21 Yayli, Yusuf
19 Helmstetter, Jacques
18 Rodrigues, Waldyr Alves jun.
17 Bory Reyes, Juan
14 Abreu-Blaya, Ricardo
14 Bayro-Corrochano, Eduardo
13 Abłamowicz, Rafał
13 Eriksson, Sirkka-Liisa
13 Hildenbrand, Dietmar
13 Kähler, Uwe
13 Tosun, Murat
12 Yamaleev, Robert M.
11 Anglès, Pierre
11 Catoni, Francesco
11 Gürlebeck, Klaus
11 Kyrchei, Ivan I.
11 Orelma, Heikki
11 Qian, Tao
11 Shirokov, Dmitry S.
10 Brackx, Fred F.
10 Cerejeiras, Paula
10 Delanghe, Richard
10 Eelbode, David
10 Hrdina, Jaroslav
10 Vašík, Petr
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 Gal, Sorin Gheorghe
8 Ren, Guangbin
8 Sangwine, Stephen J.
8 Socolovsky, Miguel
8 Soucek, Vladimir
8 Yüce, Salim
7 Bernstein, Swanhild
7 Fauser, Bertfried
7 Flaut, Cristina
7 Gu, Yingqiu
7 Jadczyk, Arkadiusz
7 Lasenby, Anthony N.
7 Lávička, Roman
7 Opfer, Gerhard
7 Sabadini, Irene
7 Shpakivskyi, Vitalii Stanislavovich
7 Yu, Xuegang
6 Abramov, Viktor
6 Cannata, Roberto
6 Dinh, Doan Cong
6 Dvoeglazov, Valeri V.
6 El Kinani, El Hassan
6 Fernández Guasti, Manuel
6 Fuchs, Laurent
6 Gungor, Mehmet Ali
6 Jiang, Tongsong
6 Karakuş, Fatma
6 Lasenby, Joan
6 Li, Xingmin
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 Yang, Heju
6 Yu, Zhaoyuan
6 Yuan, Linwang
6 Zampetti, Paolo
5 Bekar, Murat
5 Bock, Sebastian
5 Breuils, Stéphane
5 Brezov, Danail S.
5 Budinich, Marco
5 Dang, Pei
5 Dechant, Pierre-Philippe
5 Du, Jinyuan
5 Egeland, Olav
5 Falcão, Maria Irene
5 Giardino, Sergio
5 Gök, İsmail
5 González-Cervantes, José Óscar
5 Halıcı, Serpil
5 Kraußhar, Rolf Sören
5 Lavor, Carlile Campos
5 Ławrynowicz, Julian Mieczysław
5 Lee, Doohann
5 Li, Wuming
5 Lounesto, Pertti
...and 1,204 more Authors
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Fields

688 Linear and multilinear algebra; matrix theory (15-XX)
340 Functions of a complex variable (30-XX)
263 Quantum theory (81-XX)
189 Differential geometry (53-XX)
148 Number theory (11-XX)
129 Partial differential equations (35-XX)
124 Relativity and gravitational theory (83-XX)
107 Nonassociative rings and algebras (17-XX)
79 Associative rings and algebras (16-XX)
73 Geometry (51-XX)
68 Mechanics of particles and systems (70-XX)
61 Harmonic analysis on Euclidean spaces (42-XX)
59 Numerical analysis (65-XX)
59 Computer science (68-XX)
55 Global analysis, analysis on manifolds (58-XX)
49 Optics, electromagnetic theory (78-XX)
48 Functional analysis (46-XX)
45 Group theory and generalizations (20-XX)
45 Topological groups, Lie groups (22-XX)
43 Operator theory (47-XX)
43 Information and communication theory, circuits (94-XX)
38 Several complex variables and analytic spaces (32-XX)
30 Algebraic geometry (14-XX)
26 Combinatorics (05-XX)
25 Special functions (33-XX)
20 Field theory and polynomials (12-XX)
20 Potential theory (31-XX)
19 History and biography (01-XX)
17 Integral transforms, operational calculus (44-XX)
15 Abstract harmonic analysis (43-XX)
14 Ordinary differential equations (34-XX)
13 Real functions (26-XX)
13 Systems theory; control (93-XX)
12 Dynamical systems and ergodic theory (37-XX)
11 General and overarching topics; collections (00-XX)
11 Commutative algebra (13-XX)
11 Statistical mechanics, structure of matter (82-XX)
10 Fluid mechanics (76-XX)
9 Measure and integration (28-XX)
9 Difference and functional equations (39-XX)
9 Probability theory and stochastic processes (60-XX)
8 Approximations and expansions (41-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 Algebraic topology (55-XX)
5 Mathematical logic and foundations (03-XX)
5 Convex and discrete geometry (52-XX)
5 Statistics (62-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Category theory; homological algebra (18-XX)
3 Geophysics (86-XX)
3 Operations research, mathematical programming (90-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Astronomy and astrophysics (85-XX)
1 General algebraic systems (08-XX)
1 \(K\)-theory (19-XX)
1 General topology (54-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

983 Publications have been cited 4,451 times in 2,217 Documents Cited by Year
Quaternion Fourier transform on quaternion fields and generalizations. Zbl 1143.42006
Hitzer, Eckhard M. S.
79
2007
On Fibonacci quaternions. Zbl 1329.11016
Halici, Serpil
59
2012
The Hermitian Clifford analysis toolbox. Zbl 1177.30064
Brackx, Fred; De Schepper, Hennie; Sommen, Frank
51
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
41
2008
Directional uncertainty principle for quaternion Fourier transform. Zbl 1198.42006
Hitzer, Eckhard M. S.
39
2010
Applications of Clifford’s geometric algebra. Zbl 1269.15022
Hitzer, Eckhard; Nitta, Tohru; Kuroe, Yasuaki
39
2013
Models for irreducible representations of Spin\((m)\). Zbl 1221.22016
van Lancker, P.; Sommen, Frank; Constales, D.
31
2001
On generalized Fibonacci quaternions and Fibonacci-Narayana quaternions. Zbl 1330.11009
Flaut, Cristina; Shpakivskyi, Vitalii
30
2013
Clifford Fourier transformation and uncertainty principle for the Clifford geometric algebra \(\mathrm{Cl}_{3,0}\). Zbl 1133.42305
Mawardi, Bahri; Hitzer, Eckhard S. M.
29
2006
Fibonacci generalized quaternions. Zbl 1321.11020
Akyiğit, Mahmut; Hüda Kösal, Hidayet; Tosun, Murat
29
2014
The octonionic eigenvalue problem. Zbl 0927.15007
Dray, Tevian; Manogue, Corinne A.
28
1998
The Pell quaternions and the Pell octonions. Zbl 1344.11027
Szynal-Liana, Anetta; Włoch, Iwona
27
2016
Determinantal representations of solutions to systems of quaternion matrix equations. Zbl 1391.15057
Kyrchei, Ivan
27
2018
Matrix representations of octonions and their applications. Zbl 0974.15012
Tian, Yongge
26
2000
Bicomplex quantum mechanics. II: The Hilbert space. Zbl 1142.81010
Rochon, D.; Tremblay, S.
25
2006
Holomorphic Cliffordian functions. Zbl 0940.30028
Laville, Guy; Ramadanoff, Ivan
24
1998
Discrete Dirac operators in Clifford analysis. Zbl 1208.30046
Faustino, Nelson; Kähler, Uwe; Sommen, Frank
23
2007
On Pell quaternions and Pell-Lucas quaternions. Zbl 1344.11022
Çimen, Cennet Bolat; İpek, Ahmet
23
2016
On complex Fibonacci quaternions. Zbl 1270.11012
Halici, Serpil
23
2013
ELKO, flagpole and flag-dipole spinor fields, and the instanton Hopf fibration. Zbl 1202.81237
da Rocha, R.; Hoff da Silva, J. M.
23
2010
Cramer’s rules for Sylvester quaternion matrix equation and its special cases. Zbl 1404.15013
Kyrchei, Ivan
22
2018
Split Fibonacci quaternions. Zbl 1328.11016
Akyiǧit, Mahmut; Kösal, Hidayet Hüda; Tosun, Murat
22
2013
Bicomplex quantum mechanics. I: The generalized Schrödinger equation. Zbl 1169.81339
Rochon, D.; Tremblay, S.
21
2004
Correct rules for Clifford calculus on superspace. Zbl 1129.30034
De Bie, Hendrik; Sommen, Frank
20
2007
Quaternionic formulation of the classical fields. Zbl 0943.35092
Majerník, V.
20
1999
Unitary spaces on Clifford algebras. Zbl 1156.15015
Marchuk, N. G.; Shirokov, D. S.
20
2008
On Appell sets and the Fueter-Sce mapping. Zbl 1170.30023
Gürlebeck, Norman
20
2009
A note on Jacobsthal quaternions. Zbl 1335.11095
Szynal-Liana, Anetta; Włoch, Iwona
19
2016
The spacetime algebra approach to massive classical electrodynamics with magnetic monopoles. Zbl 1113.78003
Cafaro, C.; Ali, S. A.
19
2007
Hyperbolic calculus. Zbl 0922.30035
Motter, A. E.; Rosa, M. A. F.
19
1998
Biquaternion (complexified quaternion) roots of \(- 1\). Zbl 1107.30038
Sangwine, Stephen J.
18
2006
Finite-dimensional bicomplex Hilbert spaces. Zbl 1237.46009
Gervais Lavoie, Raphaël; Marchildon, Louis; Rochon, Dominic
18
2011
On the Riemann Hilbert type problems in Clifford analysis. Zbl 1061.30033
Abreu Blaya, Ricardo; Bory Reyes, Juan
17
2001
\(p\)-Dirac operators. Zbl 1170.53028
Nolder, Craig A.; Ryan, John
17
2009
Clifford algebra and the discretizable molecular distance geometry problem. Zbl 1327.15052
Lavor, Carlile; Alves, Rafael; Figueiredo, Weber; Petraglia, Antonio; Maculan, Nelson
17
2015
On eigenvalues of split quaternion matrices. Zbl 1296.15005
Erdoğdu, Melek; Özdemir, Mustafa
17
2013
Nonlinear \(A\)-Dirac equations. Zbl 1253.30073
Nolder, Craig A.
17
2011
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
16
2017
Mathematics of Clifford – a Maple package for Clifford and Graßmann algebras. Zbl 1099.65520
Ablamowicz, Rafal; Fauser, Bertfried
16
2005
The modified Pell and the modified \(k\)-Pell quaternions and octonions. Zbl 1380.11010
Catarino, Paula
16
2016
Introduction to hybrid numbers. Zbl 1394.11024
Özdemir, Mustafa
16
2018
The Fibonacci octonions. Zbl 1375.11015
Keçilioğlu, Osman; Akkus, Ilker
16
2015
Geometric algebra to model uncertainties in the discretizable molecular distance geometry problem. Zbl 1373.92148
Alves, Rafael; Lavor, Carlile
16
2017
Clifford multivector toolbox (for MATLAB). Zbl 1407.68566
Sangwine, Stephen J.; Hitzer, Eckhard
16
2017
Special monogenic polynomials and \(L_2\)-approximation. Zbl 1221.30100
Cação, I.; Gürlebeck, K.; Malonek, H.
16
2001
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
An improved Cauchy formula for hypermonogenic functions. Zbl 1172.30027
Eriksson, Sirkka-Liisa; Leutwiler, Heinz
15
2009
The Howe duality for the Dunkl version of the Dirac operator. Zbl 1404.17018
Ørsted, Bent; Somberg, Petr; Souček, Vladimír
15
2009
Canal surfaces with quaternions. Zbl 1339.53018
Aslan, Selahattin; Yaylı, Yusuf
15
2016
Structure, properties and applications of some simultaneous decompositions for quaternion matrices involving \(\phi\)-skew-Hermicity. Zbl 1409.15017
He, Zhuo-Heng
15
2019
Hyperbolic quaternion formulation of electromagnetism. Zbl 1203.78005
Demir, Süleyman; Tanışlı, Murat; Candemir, Nuray
15
2010
Interactive 3D space group visualization with CLUCalc and the Clifford geometric algebra description of space groups. Zbl 1242.20060
Hitzer, Eckhard; Perwass, Christian
15
2010
An introduction to commutative quaternions. Zbl 1207.30073
Catoni, Francesco; Cannata, Roberto; Zampetti, Paolo
15
2006
On finite difference Dirac operators and their fundamental solutions. Zbl 1221.30107
Gürlebeck, Klaus; Hommel, Angela
15
2001
The Balian-Low theorem for the windowed quaternionic Fourier transform. Zbl 1256.42044
Fu, Yingxiong; Kähler, Uwe; Cerejeiras, Paula
15
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.
14
2017
\(\sigma \)-PBW extensions of skew Armendariz rings. Zbl 1392.16021
Reyes, Armando; Suárez, Héctor
14
2017
A new adjacency matrix for finite graphs. Zbl 1194.05099
Staples, George Stacey
14
2008
Some algebraic and analytical properties of coquaternion algebra. Zbl 1186.37053
Pogoruy, Anatoliy A.; Rodríguez-Dagnino, Ramón M.
14
2010
A general geometric Fourier transform convolution theorem. Zbl 1263.15021
Bujack, Roxana; Scheuermann, Gerik; Hitzer, Eckhard
14
2013
Boundary value problems for quaternionic monogenic functions on non-smooth surfaces. Zbl 0948.30047
Abreu Blaya, Ricardo; Bory Reyes, Juan
14
1999
On monogenic series expansions with applications to linear elasticity. Zbl 1310.33007
Bock, Sebastian
14
2014
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
14
2011
The theory of local mass dimension one fermions of spin one half. Zbl 1386.81150
Ahluwalia, Dharam Vir
13
2017
Two-dimensional geometries, topologies, trigonometries and physics generated by complex-type numbers. Zbl 1052.83004
Fjelstad, Paul; Gal, Sorin G.
13
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
13
2009
An algorithm for coneigenvalues and coneigenvectors of quaternion matrices. Zbl 1318.15005
Ling, Sitao; Cheng, Xuehan; Jiang, Tongsong
13
2015
A modified uncertainty principle for two-sided quaternion Fourier transform. Zbl 1342.42009
Bahri, Mawardi
13
2016
Determinantal representations of the quaternion core inverse and its generalizations. Zbl 1436.15004
Kyrchei, Ivan
13
2019
On the integral representation of spherical \(k\)-regular functions in Clifford analysis. Zbl 1167.35327
Min, Ku; Jinyuan, Du
13
2009
Super 3-Lie algebras induced by super Lie algebras. Zbl 1419.17005
Abramov, Viktor
13
2017
Hypermonogenic functions and Möbius transformations. Zbl 1221.30105
Eriksson-Bique, Sirkka-Liisa; Leutwiler, Heinz
13
2001
The Laurent series on the octonions. Zbl 1221.30112
Li, Xingmin; Zhao, Kai; Peng, Lizhong
13
2001
Riemann boundary value problems on the sphere in Clifford analysis. Zbl 1262.30056
Ku, Min; Kähler, Uwe; Wang, Daoshun
13
2012
Multidimensional quaternionic Gabor transforms. Zbl 1350.42015
Akila, Lakshmanan; Roopkumar, Rajakumar
12
2016
Cayley formula, Euler parameters and rotations in 3-dimensional Lorentzian space. Zbl 1197.15015
Özkaldı, Sıddıka; Gündoğan, Halit
12
2010
On generalization of Martinelli-Bochner integral formula using Clifford analysis. Zbl 1206.30069
Ku, Min; Du, Jinyuan; Wang, Daoshun
12
2010
A system of coupled quaternion matrix equations with seven unknowns and its applications. Zbl 1414.15021
He, Zhuo-Heng
12
2019
Geometric roots of \(-1\) in Clifford algebras \(C \ell_{p,q}\) with \(p + q \leq 4\). Zbl 1216.15019
Hitzer, Eckhard; Abłamowicz, Rafał
12
2011
Real matrix representations for the complex quaternions. Zbl 1290.15020
Flaut, Cristina; Shpakivskyi, Vitalii
12
2013
Quaternionic approach of canal surfaces constructed by some new ideas. Zbl 1405.53003
Gök, İsmail
12
2017
On \((p,q)\) Baskakov-Durrmeyer-Stancu operators. Zbl 1367.41018
Mishra, Vishnu Narayan; Pandey, Shikha
12
2017
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.
12
2014
Quaternion polar representation with a complex modulus and complex argument inspired by the Cayley-Dickson form. Zbl 1223.16005
Sangwine, Stephen J.; Le Bihan, Nicolas
11
2010
On split \(k\)-Fibonacci and \(k\)-Lucas quaternions. Zbl 1344.11023
Polatli, Emrah; Kizilates, Can; Kesim, Seyhun
11
2016
Tighter uncertainty principles based on quaternion Fourier transform. Zbl 1338.42013
Yang, Yan; Dang, Pei; Qian, Tao
11
2016
Albert Crumeyrolle’s work on Clifford algebras and spinors. Zbl 0842.01017
Lounesto, P.
11
1992
On dual Fibonacci octonions. Zbl 1354.11014
Halici, Serpil
11
2015
Hyperbolic extensions of integral formulas. Zbl 1203.30053
Eriksson, Sirkka-Liisa
11
2010
Similarity and consimilarity of elements in the real Cayley-Dickson algebras. Zbl 1043.17500
Tian, Yongge
11
1999
Fischer decomposition for difference Dirac operators. Zbl 1116.15023
Faustino, N.; Kähler, U.
11
2007
\(n\)-dimensional hyperbolic complex numbers. Zbl 0937.30029
Fjelstad, Paul; Gal, Sorin G.
11
1998
On octonionic polynomials. Zbl 1160.17003
Serôdio, Rogério
11
2007
The generalized Clifford-Hermite continuous wavelet transform. Zbl 1221.42058
Brackx, F.; Sommen, Frank
11
2001
Fundamental representations and algebraic properties of biquaternions or complexified quaternions. Zbl 1272.15016
Sangwine, Stephen J.; Ell, Todd A.; Le Bihan, Nicolas
11
2011
On a quaternionic analogue of the cross-ratio. Zbl 1257.15014
Gwynne, Ewain; Libine, Matvei
11
2012
Complete families of solutions for the Dirac equation using bicomplex function theory and transmutations. Zbl 1257.30051
Campos, Hugo M.; Kravchenko, Vladislav V.; Méndez, Luis M.
11
2012
Hyperbolic function theory. Zbl 1129.30035
Eriksson, Sirkka-Liisa; Leutwiler, Heinz
10
2007
A Clifford algebraic framework for \(\mathfrak{sp}(m)\)-invariant differential operators. Zbl 1127.58035
Eelbode, David
10
2007
Octonions and triality. Zbl 1046.15035
Lounesto, Pertti
10
2001
The sum and the product of two quadratic matrices: regular cases. Zbl 07582668
de Seguins Pazzis, Clément
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
MPCEP-\(*\)CEPMP-solutions of some restricted quaternion matrix equations. Zbl 1484.15014
Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag S.
1
2022
New applications of Clifford’s geometric algebra. Zbl 1490.15036
Breuils, Stephane; Tachibana, Kanta; Hitzer, Eckhard
1
2022
Some results for the two-sided quaternionic Gabor Fourier transform and quaternionic Gabor frame operator. Zbl 1456.42042
Li, Jinxia; He, Jianxun
4
2021
Solvability of new constrained quaternion matrix approximation problems based on core-EP inverses. Zbl 1456.15014
Kyrchei, Ivan; Mosić, Dijana; Stanimirović, Predrag S.
4
2021
Ternary Clifford algebras. Zbl 1461.30115
Cerejeiras, P.; Vajiac, M.
3
2021
Geometric algebra of singular ruled surfaces. Zbl 1462.53002
Li, Yanlin; Wang, Zhigang; Zhao, Tiehong
3
2021
A quaternion matrix equation with two different restrictions. Zbl 1464.15022
He, Zhuo-Heng; Wang, Meng
3
2021
Wavelet transform of Dini Lipschitz functions on the quaternion algebra. Zbl 1457.42049
Bouhlal, A.; Safouane, N.; Achak, A.; Daher, R.
2
2021
On structure of inframonogenic functions. Zbl 1476.30159
Dinh, Doan Cong
2
2021
A fiber bundle over the quaternionic slice regular functions. Zbl 1481.30032
González-Cervantes, J. Oscar
2
2021
Linear canonical wavelet transform in quaternion domains. Zbl 1470.42064
Shah, Firdous A.; Teali, Aajaz A.; Tantary, Azhar Y.
2
2021
On ternary Clifford algebras on two generators defined by extra-special 3-groups of order 27. Zbl 1471.15018
Abłamowicz, Rafał
2
2021
Fractional elementary bicomplex functions in the Riemann-Liouville sense. Zbl 1480.30036
Coloma, Nicolás; Di Teodoro, Antonio; Ochoa-Tocachi, Diego; Ponce, Francisco
2
2021
The existence of Cauchy kernels of Kravchenko-generalized Dirac operators. Zbl 1456.30088
Dinh, Doan Cong
1
2021
Pseudo-inverses without matrices. Zbl 1460.16040
Helmstetter, Jacques
1
2021
On the conformal mappings and the global operator \(G\). Zbl 1458.30052
González Cervantes, J. Oscar; González Campos, Daniel
1
2021
Titchmarsh’s theorem in Clifford analysis. Zbl 1457.42018
El Haoui, Youssef
1
2021
Classification of left octonionic modules. Zbl 1472.17001
Huo, Qinghai; Li, Yong; Ren, Guangbin
1
2021
Quaternion Fourier transform and generalized Lipschitz classes. Zbl 1457.42019
Loualid, El Mehdi; Elgargati, Abdelghani; Daher, Radouan
1
2021
Dual hyperquaternion Poincaré groups. Zbl 1473.22009
Girard, Patrick R.; Clarysse, Patrick; Pujol, Romaric; Goutte, Robert; Delachartre, Philippe
1
2021
Exploring novel surface representations via an experimental ray-tracer in CGA. Zbl 07330643
Hadfield, Hugo; Achawal, Sushant; Lasenby, Joan; Lasenby, Anthony; Young, Benjamin
1
2021
Projective geometric algebra as a subalgebra of conformal geometric algebra. Zbl 1462.15028
Hrdina, Jaroslav; Návrat, Aleš; Vašík, Petr; Dorst, Leo
1
2021
On the differential equation of first and second order in the Zeon algebra. Zbl 1460.05201
Mansour, Toufik; Schork, Matthias
1
2021
Zeon matrix inverses and the zeon combinatorial Laplacian. Zbl 1471.15002
Staples, G. Stacey
1
2021
Representations of extended Carroll group. Zbl 07384099
Petronilo, G. X. A.; Ulhoa, S. C.; Santana, A. E.
1
2021
An introduction to hyperholomorphic spectral theories and fractional powers of vector operators. Zbl 07384103
Colombo, Fabrizio; Gantner, Jonathan; Pinton, Stefano
1
2021
A variation on uncertainty principles for quaternion linear canonical transform. Zbl 1470.42011
Hleili, Khaled
1
2021
Weighted minimization problems for quaternion matrices. Zbl 1472.15042
Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag S.
1
2021
A new approach to slice analysis via slice topology. Zbl 1482.30118
Dou, Xinyuan; Jin, Ming; Ren, Guangbin; Sabadini, Irene
1
2021
Two-component spinorial formalism using quaternions for six-dimensional spacetimes. Zbl 1491.53066
Venâncio, Joás; Batista, Carlos
1
2021
BiHom-Lie superalgebra structures and BiHom-Yang-Baxter equations. Zbl 1476.17019
Wang, Shengxiang; Guo, Shuangjian
10
2020
Quaternion windowed linear canonical transform of two-dimensional signals. Zbl 1435.30140
Gao, Wen-Biao; Li, Bing-Zhao
6
2020
Spectrums of functions associated to the fractional Clifford-Fourier transform. Zbl 1433.42006
Li, Shanshan; Leng, Jinsong; Fei, Minggang
5
2020
Generalized Hadamard product bases of special monogenic polynomials. Zbl 1435.30145
Zayed, Mohra
5
2020
A Cauchy integral formula for infrapolymonogenic functions in Clifford analysis. Zbl 1435.30136
Abreu Blaya, Ricardo; Bory Reyes, Juan; Moreno García, Arsenio; Moreno García, Tania
4
2020
Heisenberg’s and Hardy’s uncertainty principles for special relativistic space-time Fourier transformation. Zbl 1454.15017
El Haoui, Youssef; Hitzer, Eckhard; Fahlaoui, Said
4
2020
The tangential \(k\)-Cauchy-Fueter operator and \(k\)-CF functions over the Heisenberg group. Zbl 1431.22011
Ren, Guangzhen; Shi, Yun; Wang, Wei
3
2020
Polar decomposition of complexified quaternions and octonions. Zbl 1448.15016
Sangwine, Stephen J.; Hitzer, Eckhard
3
2020
Quadratic split quaternion polynomials: factorization and geometry. Zbl 1448.12001
Scharler, Daniel F.; Siegele, Johannes; Schröcker, Hans-Peter
3
2020
Algebraic properties of bihyperbolic numbers. Zbl 1442.30049
Bilgin, Merve; Ersoy, Soley
3
2020
Projection factors and generalized real and complex Pythagorean theorems. Zbl 1453.15010
Mandolesi, André L. G.
3
2020
The unified standard model. Zbl 1477.17037
Gording, Brage; Schmidt-May, Angnis
3
2020
Double Hom-associative algebra and double Hom-Lie bialgebra. Zbl 1466.16031
Chen, Yuanyuan; Zheng, Huihui; Zhang, Liangyun
2
2020
The Moore-Penrose inverse and singular value decomposition of split quaternions. Zbl 1444.15004
Abłamowicz, Rafał
2
2020
3-Hom-Lie algebras based on \(\sigma\)-derivation and involution. Zbl 1468.17031
Abramov, Viktor; Silvestrov, Sergei
2
2020
Differential topological aspects in octonionic monogenic function theory. Zbl 1455.30041
Kraußhar, Rolf Sören
2
2020
GAALOPWeb for Matlab: an easy to handle solution for industrial geometric algebra implementations. Zbl 1460.68132
Hildenbrand, Dietmar; Steinmetz, Christian; Tichý, Radek
2
2020
Almansi theorem and mean value formula for quaternionic slice-regular functions. Zbl 1461.30118
Perotti, Alessandro
2
2020
Some fundamental theorems of functional analysis with bicomplex and hyperbolic scalars. Zbl 1451.30096
Saini, Heera; Sharma, Aditi; Kumar, Romesh
2
2020
Local controllability of snake robots based on CRA, theory and practice. Zbl 1457.70005
Hildenbrand, Dietmar; Hrdina, Jaroslav; Návrat, Aleš; Vašík, Petr
1
2020
Fundamental solution for natural powers of the fractional Laplace and Dirac operators in the Riemann-Liouville sense. Zbl 1448.30006
Teodoro, A. Di; Ferreira, M.; Vieira, N.
1
2020
The Riemann curvature tensor and Higgs scalar field within CAM theory. Zbl 1437.81141
Wolk, Brian Jonathan
1
2020
A geometric algebra based higher dimensional approximation method for statics and kinematics of robotic manipulators. Zbl 1448.70008
Thiruvengadam, Sudharsan; Miller, Karol
1
2020
Schwarz-type lemmas associated to a Helmholtz equation. Zbl 1435.30141
Gu, Longfei
1
2020
TbGAL: a tensor-based library for geometric algebra. Zbl 1433.15004
Sousa, Eduardo Vera; Fernandes, Leandro A. F.
1
2020
Factorization and generalized roots of dual complex matrices with Rodrigues’ formula. Zbl 1437.15019
Brezov, Danail
1
2020
Brauer-Clifford group of \((S,\mathcal{G},H)\)-Azumaya algebras. Zbl 1454.16026
Guédénon, Thomas
1
2020
Conformal mappings revisited in the octonions and Clifford algebras of arbitrary dimension. Zbl 1441.30075
Kraußhar, Rolf Sören
1
2020
Time series, hidden variables and spatio-temporal ordinality networks. Zbl 1444.37064
Thiruvengadam, Sudharsan; Tan, Jei Shian; Miller, Karol
1
2020
Drinfeld double for infinitesimal BiHom-bialgebras. Zbl 1473.17056
Ma, Tianshui; Yang, Haiyan
1
2020
On the supports of functions associated to the radially deformed Fourier transform. Zbl 1446.42010
Li, Shanshan; Leng, Jinsong; Fei, Minggang
1
2020
Spacetime geometry with geometric calculus. Zbl 1446.83003
Hestenes, David
1
2020
The symplectic Fueter-Sce theorem. Zbl 1455.53090
Eelbode, David; Hohloch, Sonja; Muarem, Guner
1
2020
The octonionic Bergman kernel for the half space. Zbl 1451.30099
Wang, Jinxun; Li, Xingmin
1
2020
Generalized \((k_i)\)-monogenic functions. Zbl 1451.30004
Dinh, Doan Cong
1
2020
Efficient development of competitive Mathematica solutions based on geometric algebra with GAALOPWeb. Zbl 1457.68321
Alves, R.; Hildenbrand, D.; Steinmetz, C.; Uftring, P.
1
2020
Polynomial approximation in quaternionic Bloch and Besov spaces. Zbl 1455.30039
Gal, Sorin G.; Sabadini, Irene
1
2020
Fractional Clifford-Fourier transform and its application. Zbl 1451.30098
Shi, Haipan; Yang, Heju; Li, Zunfeng; Qiao, Yuying
1
2020
Generalized fractional Cauchy-Riemann operator associated with the fractional Cauchy-Riemann operator. Zbl 1452.35235
Ceballos, Johan; Coloma, Nicolás; Di Teodoro, Antonio; Ochoa-Tocachi, Diego
1
2020
Hyperbolic harmonic functions and hyperbolic Brownian motion. Zbl 1456.60194
Eriksson, Sirkka-Liisa; Kaarakka, Terhi
1
2020
Structure, properties and applications of some simultaneous decompositions for quaternion matrices involving \(\phi\)-skew-Hermicity. Zbl 1409.15017
He, Zhuo-Heng
15
2019
Determinantal representations of the quaternion core inverse and its generalizations. Zbl 1436.15004
Kyrchei, Ivan
13
2019
A system of coupled quaternion matrix equations with seven unknowns and its applications. Zbl 1414.15021
He, Zhuo-Heng
12
2019
Donoho-Stark’s uncertainty principles in real Clifford algebras. Zbl 1428.43004
El Haoui, Youssef; Fahlaoui, Said
9
2019
Cramer’s rules of \(\eta \)-(skew-)Hermitian solutions to the quaternion Sylvester-type matrix equations. Zbl 1415.15016
Kyrchei, Ivan
7
2019
Characteristic polynomials in Clifford algebras and in more general algebras. Zbl 1428.15008
Helmstetter, Jacques
5
2019
Drinfeld codoubles of Hom-Hopf algebras. Zbl 1454.17010
Zhang, Xiaohui; Guo, Shuangjian; Wang, Shengxiang
5
2019
Consistency of split quaternion matrix equations \(AX^{\star }-XB=CY+D\) and \(X-AX^\star B=CY+D\). Zbl 1420.15013
Liu, Xin; Zhang, Yang
5
2019
Garamon: a geometric algebra library generator. Zbl 1422.68329
Breuils, Stéphane; Nozick, Vincent; Fuchs, Laurent
5
2019
Oriented conformal geometric algebra and the molecular distance geometry problem. Zbl 1410.92086
Lavor, Carlile; Alves, Rafael
5
2019
Clifford algebra approach of 3D Ising model. Zbl 1412.82015
Zhang, Zhidong; Suzuki, Osamu; March, Norman H.
5
2019
Construction of multivector inverse for Clifford algebras over \(2m+1\)-dimensional vector spaces from multivector inverse for Clifford algebras over \(2m\)-dimensional vector spaces. Zbl 1458.15042
Hitzer, Eckhard; Sangwine, Stephen J.
4
2019
Boolean combination of circular arcs using orthogonal spheres. Zbl 1417.51014
Dorst, Leo
4
2019
Uncertainty principles for the continuous quaternion shearlet transform. Zbl 1431.42017
Brahim, Kamel; Nefzi, Bochra; Tefjeni, Emna
4
2019
On \(\mathbf{C} \otimes \mathbf{H} \otimes \mathbf{O}\)-valued gravity, sedenions, Hermitian matrix geometry and nonsymmetric Kaluza-Klein theory. Zbl 1429.83071
Perelman, Carlos Castro
4
2019
On the structure of octonion regular functions. Zbl 1427.30079
Kauhanen, Janne; Orelma, Heikki
4
2019
Cramer’s rule for the general solution to a restricted system of quaternion matrix equations. Zbl 1439.15006
Song, Guang-Jing; Yu, Shao-Wen
4
2019
Uncertainty principles for the quaternion linear canonical transform. Zbl 1426.42004
Achak, A.; Abouelaz, A.; Daher, R.; Safouane, N.
4
2019
The existence and global exponential stability of \(\mu \)-pseudo almost periodic solutions of Clifford-valued semi-linear delay differential equations and an application. Zbl 1428.34092
Li, Yongkun; Wang, Yaolu; Li, Bing
4
2019
\(\mathbb{R} \otimes \mathbb{C}\otimes \mathbb{H}\otimes \mathbb{O}\)-valued gravity as a grand unified field theory. Zbl 1410.81034
Castro Perelman, Carlos
4
2019
Differential calculus of zeon functions. Zbl 1466.15026
Staples, G. Stacey
3
2019
Zeon and idem-Clifford formulations of Boolean satisfiability. Zbl 1456.68123
Davis, Amanda; Staples, G. Stacey
3
2019
Bicomplex analogs of Segal-Bargmann and fractional Fourier transforms. Zbl 1427.30076
Ghanmi, Allal; Zine, Khalil
3
2019
Geometric algebra to describe the exact discretizable molecular distance geometry problem for an arbitrary dimension. Zbl 1430.68361
Camargo, Valter S.; Castelani, Emerson V.; Fernandes, Leandro A. F.; Fidalgo, Felipe
3
2019
Direct linear interpolation of geometric objects in conformal geometric algebra. Zbl 07111360
Hadfield, H.; Lasenby, J.
3
2019
Some constructions of multiplicative \(n\)-ary Hom-Nambu algebras. Zbl 1435.17030
Ben Hassine, Abdelkader; Mabrouk, Sami; Ncib, Othmen
3
2019
Finding \(n\)-th roots of a \(2\times 2\) real matrix using de Moivre’s formula. Zbl 1403.15005
Özdemir, Mustafa
3
2019
Zeros of zeon polynomials and the zeon quadratic formula. Zbl 1442.15040
Haake, Erin; Staples, G. Stacey
3
2019
...and 883 more Documents
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Cited by 1,987 Authors

65 Sommen, Franciscus
56 Bory Reyes, Juan
49 Abreu-Blaya, Ricardo
41 De Schepper, Hennie
37 Brackx, Fred F.
33 Eelbode, David
31 Hitzer, Eckhard
30 Kähler, Uwe
28 Kyrchei, Ivan I.
22 Soucek, Vladimir
20 Lávička, Roman
20 Shirokov, Dmitry S.
20 Yayli, Yusuf
19 Bahri, Mawardi
19 Cerejeiras, Paula
19 Lavor, Carlile Campos
18 Kraußhar, Rolf Sören
18 Ku, Min
18 Sabadini, Irene
17 Orelma, Heikki
17 Qian, Tao
17 Qiao, Yuying
16 Eriksson, Sirkka-Liisa
16 Peña Peña, Dixan
16 Tosun, Murat
15 De Bie, Hendrik
15 Fabbri, Luca
15 He, ZhuoHeng
15 Kravchenko, Vladislav V.
15 Vieira, Nelson
14 Abłamowicz, Rafał
14 Adán, Alí Guzmán
14 Gürlebeck, Klaus
14 Szynal-Liana, Anetta
13 Bock, Sebastian
13 González-Cervantes, José Óscar
13 Helmstetter, Jacques
13 Morais, João Pedro
12 Colombo, Fabrizio
12 Falcão, Maria Irene
12 Gök, İsmail
12 Hrdina, Jaroslav
12 Raeymaekers, Tim
12 Ren, Guangbin
12 Vaz, Jayme jun.
11 Demir, Süleyman
11 Kou, Kit-Ian
11 Návrat, Aleš
11 Ozdemir, Mustafa Kemal
11 Reyes, Armando
11 Rodrigues, Waldyr Alves jun.
11 Vanegas, Judith C.
11 Włoch, Iwona
11 Yang, Heju
11 Yüce, Salim
10 Ashino, Ryuichi
10 El Haoui, Youssef
10 Jiang, Tongsong
10 Leutwiler, Heinz
10 Ludkovsky, Sergey Victor
10 Van Lancker, Peter
10 Vašík, Petr
10 Yamaleev, Robert M.
10 Yuan, Hongfen
9 Bród, Dorota
9 Cação, Isabel
9 Cerda-Morales, Gamaliel Cerda
9 Erişir, Tülay
9 Fauser, Bertfried
9 Flaut, Cristina
9 Gungor, Mehmet Ali
9 Iglewska-Nowak, Ilona
9 Keller, Jaime
9 Li, Xingmin
9 Lian, Pan
9 Luna-Elizarrarás, María Elena
9 Malonek, Helmuth Robert
9 Marchuk, Nikolaĭ Gur’evich
9 Mironov, Sergey V.
9 Mironov, Victor L.
9 Mosić, Dijana
9 Mursaleen, Mohammad
9 Nielsen, Lance
9 Sangwine, Stephen J.
9 Shapiro, Michael V.
9 Struppa, Daniele Carlo
9 Tanişli, Murat
8 Abramov, Viktor
8 Bekar, Murat
8 Catarino, Paula Maria Machado Cruz
8 Daher, Radouan
8 Dang, Pei
8 De Ridder, Hilde
8 Dechant, Pierre-Philippe
8 Dinh, Doan Cong
8 He, Fuli
8 Kim, Ji Eun
8 Li, Zunfeng
8 Liberti, Leo
8 Moreno García, Tania
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Cited in 352 Journals

675 Advances in Applied Clifford Algebras
67 Complex Variables and Elliptic Equations
63 Complex Analysis and Operator Theory
54 Journal of Mathematical Physics
51 Mathematical Methods in the Applied Sciences
48 Journal of Mathematical Analysis and Applications
42 International Journal of Theoretical Physics
31 Applied Mathematics and Computation
26 International Journal of Geometric Methods in Modern Physics
25 Linear and Multilinear Algebra
21 Chaos, Solitons and Fractals
21 Journal of Geometry and Physics
18 Linear Algebra and its Applications
18 Computational Methods and Function Theory
17 Filomat
16 Communications in Algebra
16 Advances in Difference Equations
16 Advances in Mathematical Physics
14 Integral Transforms and Special Functions
14 Abstract and Applied Analysis
13 Results in Mathematics
13 Journal of Inequalities and Applications
13 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
13 Foundations of Physics
12 Reports on Mathematical Physics
12 Mediterranean Journal of Mathematics
12 Boundary Value Problems
11 General Relativity and Gravitation
10 International Journal of Modern Physics A
10 Physics Letters. B
10 Computational and Applied Mathematics
9 Annals of Global Analysis and Geometry
9 Mathematical Problems in Engineering
9 Journal of Algebra and its Applications
9 Analysis and Mathematical Physics
9 International Journal of Applied and Computational Mathematics
8 Physics Letters. A
8 Journal of Algebra
8 Acta Applicandae Mathematicae
8 Applied and Computational Harmonic Analysis
8 Russian Physics Journal
8 Journal of High Energy Physics
8 International Journal of Wavelets, Multiresolution and Information Processing
8 Journal of Pseudo-Differential Operators and Applications
8 Journal of Mathematics
8 AIMS Mathematics
7 Computers & Mathematics with Applications
7 Geometriae Dedicata
7 Proceedings of the American Mathematical Society
7 International Journal of Modern Physics D
7 Journal of Mathematical Sciences (New York)
7 International Electronic Journal of Geometry
7 Asian-European Journal of Mathematics
7 Symmetry
7 Palestine Journal of Mathematics
7 Journal of Function Spaces
6 Indian Journal of Pure & Applied Mathematics
6 The Journal of Geometric Analysis
6 Journal of Global Optimization
6 Fractals
6 Boletín de la Sociedad Matemática Mexicana. Third Series
6 Acta Mathematica Sinica. English Series
6 Qualitative Theory of Dynamical Systems
6 Journal of Applied Mathematics and Computing
6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Theoretical and Mathematical Physics
5 Ukrainian Mathematical Journal
5 Beiträge zur Algebra und Geometrie
5 Journal of Geometry
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Turkish Journal of Mathematics
5 The Journal of Fourier Analysis and Applications
5 Mathematical Physics, Analysis and Geometry
5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
5 Quantum Information Processing
5 Open Mathematics
4 Discrete Applied Mathematics
4 Israel Journal of Mathematics
4 Journal of the Franklin Institute
4 Physica A
4 Advances in Mathematics
4 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
4 Journal of Functional Analysis
4 Mathematics and Computers in Simulation
4 Mathematische Nachrichten
4 Mathematische Zeitschrift
4 Transactions of the American Mathematical Society
4 International Journal of Algebra and Computation
4 Journal of Mathematical Imaging and Vision
4 Complexity
4 Journal of Mathematical Chemistry
4 Nonlinear Dynamics
4 Honam Mathematical Journal
4 Journal of Discrete Mathematical Sciences & Cryptography
4 Journal of Integer Sequences
4 Journal of Nonlinear Mathematical Physics
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Bulletin of the Brazilian Mathematical Society. New Series
4 Acta Universitatis Sapientiae. Mathematica
4 Science China. Mathematics
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Cited in 62 Fields

620 Linear and multilinear algebra; matrix theory (15-XX)
587 Functions of a complex variable (30-XX)
330 Quantum theory (81-XX)
289 Number theory (11-XX)
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190 Partial differential equations (35-XX)
172 Harmonic analysis on Euclidean spaces (42-XX)
162 Nonassociative rings and algebras (17-XX)
144 Relativity and gravitational theory (83-XX)
105 Associative rings and algebras (16-XX)
86 Numerical analysis (65-XX)
83 Geometry (51-XX)
77 Functional analysis (46-XX)
74 Mechanics of particles and systems (70-XX)
72 Operator theory (47-XX)
72 Information and communication theory, circuits (94-XX)
69 Combinatorics (05-XX)
69 Global analysis, analysis on manifolds (58-XX)
68 Computer science (68-XX)
60 Group theory and generalizations (20-XX)
60 Several complex variables and analytic spaces (32-XX)
60 Ordinary differential equations (34-XX)
54 Special functions (33-XX)
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48 Optics, electromagnetic theory (78-XX)
46 Integral transforms, operational calculus (44-XX)
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8 History and biography (01-XX)
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