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Author ID: furutani.kenro Recent zbMATH articles by "Furutani, Kenro"
Published as: Furutani, Kenro; Furutani, K.; Furutani, Kenrô; Furutuni, Kenro
Documents Indexed: 59 Publications since 1975, including 1 Book and 3 Additional arXiv Preprints
Reviewing Activity: 61 Reviews
Co-Authors: 20 Co-Authors with 43 Joint Publications
277 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 299 times in 170 Documents Cited by Year
The Maslov index: A functional analytical definition and the spectral flow formula. Zbl 0932.37063
Booss-Bavnbek, Bernhelm; Furutani, Kenro
48
1998
Heat kernels for elliptic and sub-elliptic operators. Methods and techniques. Zbl 1207.35002
Calin, Ovidiu; Chang, Der-Chen; Furutani, Kenro; Iwasaki, Chisato
38
2011
Fredholm-Lagrangian-Grassmannian and the Maslov index. Zbl 1076.53100
Furutani, Kenro
37
2004
Fundamental solution of a higher step Grushin type operator. Zbl 1310.35082
Bauer, Wolfram; Furutani, Kenro; Iwasaki, Chisato
13
2015
Complete classification of pseudo \(H\)-type Lie algebras. I. Zbl 1428.17016
Furutani, Kenro; Markina, Irina
12
2017
Existence of lattices on general \(H\)-type groups. Zbl 1321.17008
Furutani, Kenro; Markina, Irina
10
2014
Symplectic functional analysis and spectral invariants. Zbl 0942.58030
Booss-Bavnbek, B.; Furutani, K.
9
1999
Spectral zeta function of the sub-Laplacian on two step nilmanifolds. Zbl 1238.58019
Bauer, W.; Furutani, K.; Iwasaki, C.
9
2012
Criss-cross reduction of the Maslov index and a proof of the Yoshida-Nicolaescu theorem. Zbl 1038.53072
Booss-Bavnbek, Bernhelm; Furutani, Kenro; Otsuki, Nobukazu
9
2001
Spectral analysis and geometry of sub-Laplacian and related Grushin-type operators. Zbl 1307.58012
Bauer, Wolfram; Furutani, Kenro; Iwasaki, Chisato
8
2011
Compact operators and the pluriharmonic Berezin transform. Zbl 1157.47020
Bauer, Wolfram; Furutani, Kenro
8
2008
Spectral zeta function on pseudo \(H\)-type nilmanifolds. Zbl 1353.53039
Bauer, Wolfram; Furutani, Kenro; Iwasaki, Chisato
8
2015
Determinant of Laplacians on Heisenberg manifolds. Zbl 1049.58031
Furutani, Kenro; de Gosson, Serge
7
2003
Spectral analysis and geometry of a sub-Riemannian structure on \(S^3\) and \(S^7\). Zbl 1218.58023
Bauer, Wolfram; Furutani, Kenro
6
2008
Free nilpotent and \(H\)-type Lie algebras. Combinatorial and orthogonal designs. Zbl 1322.15011
Furutani, Kenro; Markina, Irina; Vasil’ev, Alexander
6
2015
Spectral zeta function of a sub-Laplacian on product sub-Riemannian manifolds and zeta-regularized determinant. Zbl 1198.53032
Bauer, Wolfram; Furutani, Kenro
6
2010
Pseudo-metric 2-step nilpotent Lie algebras. Zbl 1388.17005
Autenried, Christian; Furutani, Kenro; Markina, Irina; Vasil’ev, Alexander
5
2018
Lie algebras attached to Clifford modules and simple graded Lie algebras. Zbl 1422.17012
Furutani, Kenro; Molina, Mauricio Godoy; Markina, Irina; Morimoto, Tohru; Vasil’ev, Alexander
5
2018
Zeta regularized determinant of the Laplacian for classes of spherical space forms. Zbl 1139.58021
Bauer, W.; Furutani, K.
4
2008
Maslov index in the infinite dimension and a splitting formula for a spectral flow. Zbl 1022.58004
Furutani, Kenro; Otsuki, Nobukazu
4
2002
The spectrum of the Laplacian on a certain nilpotent Lie group. Zbl 0791.58096
Furutani, Kenro; Sagami, Kei; Otsuki, Nobukazu
4
1993
An action function for a higher step Grushin operator. Zbl 1244.35062
Furutani, Kenro; Iwasaki, Chisato; Kagawa, Toshinao
4
2012
Quantization operators on quadrics. Zbl 1148.53068
Bauer, Wolfram; Furutani, Kenro
4
2008
The heat kernel and the spectrum of a class of nilmanifolds. Zbl 0861.58035
Furutani, Kenro
3
1996
A Kähler structure on the punctured cotangent bundle of complex and quaternion projective spaces and its application to a geometric quantization. II. Zbl 0851.53041
Furutani, Kenro; Yoshizawa, Shintaro
3
1995
Spectral theory of a class of nilmanifolds attached to Clifford modules. Zbl 1457.58023
Bauer, Wolfram; Furutani, Kenro; Iwasaki, Chisato; Laaroussi, Abdellah
3
2021
Complete classification of pseudo \(H\)-type algebras. II. Zbl 1428.17017
Furutani, Kenro; Markina, Irina
3
2019
Heat kernels of the sub-Laplacian and the Laplacian on nilpotent Lie groups. Zbl 1122.35025
Furutani, Kenro
2
2006
A Kähler structure on the punctured cotangent bundle of complex and quaternion projective spaces and its application to a geometric quantization. I. Zbl 0830.53052
Furutani, Kenro; Tanaka, Ryuichi
2
1994
Spectral flow and Maslov index arising from Lagrangian intersections. Zbl 0754.58014
Otsuki, Nobukazu; Furutani, Kenro
2
1991
Spectral flow and intersection number. Zbl 0784.46052
Furutuni, Kenro; Otsuki, Nobukazu
2
1993
Sub-Riemannian structures in a principal bundle and their Popp measures. Zbl 1379.53043
Bauer, Wolfram; Furutani, Kenro; Iwasaki, Chisato
2
2017
The inverse of a parameter family of degenerate operators and applications to the Kohn-Laplacian. Zbl 1315.35010
Bauer, Wolfram; Furutani, Kenro; Iwasaki, Chisato
2
2015
Quantization of the geodesic flow on quaternion projective spaces. Zbl 1006.53073
Furutani, Kenro
2
2002
Trivializable sub-Riemannian structures on spheres. Zbl 1288.53025
Bauer, W.; Furutani, K.; Iwasaki, C.
2
2013
On a stability of essential spectra of Laplace operators on non-compact Riemannian manifolds. Zbl 0483.58019
Furutani, Kenro
1
1980
Atiyah–Patodi–Singer boundary condition and a splitting formula of a spectral flow. Zbl 1091.58016
Furutani, Kenro
1
2006
Hilbert-Schmidt Hankel operators and Berezin iteration. Zbl 1181.47022
Bauer, Wolfram; Furutani, Kenro
1
2008
On the Quillen determinant. Zbl 1078.53077
Furutani, Kenro
1
2004
A codimension 3 sub-Riemannian structure on the Gromoll-Meyer exotic sphere. Zbl 1380.53035
Bauer, Wolfram; Furutani, Kenro; Iwasaki, Chisato
1
2017
A Kähler structure on the punctured cotangent bundle of the Cayley projective plane. Zbl 1035.53103
Furutani, Kenro
1
2003
The geometry of Cauchy data spaces. Zbl 1029.58013
Booss-Bavnbek, B.; Furutani, K.; Wojciechowski, K. P.
1
2003
Spectral theory of a class of nilmanifolds attached to Clifford modules. Zbl 1457.58023
Bauer, Wolfram; Furutani, Kenro; Iwasaki, Chisato; Laaroussi, Abdellah
3
2021
Complete classification of pseudo \(H\)-type algebras. II. Zbl 1428.17017
Furutani, Kenro; Markina, Irina
3
2019
Pseudo-metric 2-step nilpotent Lie algebras. Zbl 1388.17005
Autenried, Christian; Furutani, Kenro; Markina, Irina; Vasil’ev, Alexander
5
2018
Lie algebras attached to Clifford modules and simple graded Lie algebras. Zbl 1422.17012
Furutani, Kenro; Molina, Mauricio Godoy; Markina, Irina; Morimoto, Tohru; Vasil’ev, Alexander
5
2018
Complete classification of pseudo \(H\)-type Lie algebras. I. Zbl 1428.17016
Furutani, Kenro; Markina, Irina
12
2017
Sub-Riemannian structures in a principal bundle and their Popp measures. Zbl 1379.53043
Bauer, Wolfram; Furutani, Kenro; Iwasaki, Chisato
2
2017
A codimension 3 sub-Riemannian structure on the Gromoll-Meyer exotic sphere. Zbl 1380.53035
Bauer, Wolfram; Furutani, Kenro; Iwasaki, Chisato
1
2017
Fundamental solution of a higher step Grushin type operator. Zbl 1310.35082
Bauer, Wolfram; Furutani, Kenro; Iwasaki, Chisato
13
2015
Spectral zeta function on pseudo \(H\)-type nilmanifolds. Zbl 1353.53039
Bauer, Wolfram; Furutani, Kenro; Iwasaki, Chisato
8
2015
Free nilpotent and \(H\)-type Lie algebras. Combinatorial and orthogonal designs. Zbl 1322.15011
Furutani, Kenro; Markina, Irina; Vasil’ev, Alexander
6
2015
The inverse of a parameter family of degenerate operators and applications to the Kohn-Laplacian. Zbl 1315.35010
Bauer, Wolfram; Furutani, Kenro; Iwasaki, Chisato
2
2015
Existence of lattices on general \(H\)-type groups. Zbl 1321.17008
Furutani, Kenro; Markina, Irina
10
2014
Trivializable sub-Riemannian structures on spheres. Zbl 1288.53025
Bauer, W.; Furutani, K.; Iwasaki, C.
2
2013
Spectral zeta function of the sub-Laplacian on two step nilmanifolds. Zbl 1238.58019
Bauer, W.; Furutani, K.; Iwasaki, C.
9
2012
An action function for a higher step Grushin operator. Zbl 1244.35062
Furutani, Kenro; Iwasaki, Chisato; Kagawa, Toshinao
4
2012
Heat kernels for elliptic and sub-elliptic operators. Methods and techniques. Zbl 1207.35002
Calin, Ovidiu; Chang, Der-Chen; Furutani, Kenro; Iwasaki, Chisato
38
2011
Spectral analysis and geometry of sub-Laplacian and related Grushin-type operators. Zbl 1307.58012
Bauer, Wolfram; Furutani, Kenro; Iwasaki, Chisato
8
2011
Spectral zeta function of a sub-Laplacian on product sub-Riemannian manifolds and zeta-regularized determinant. Zbl 1198.53032
Bauer, Wolfram; Furutani, Kenro
6
2010
Compact operators and the pluriharmonic Berezin transform. Zbl 1157.47020
Bauer, Wolfram; Furutani, Kenro
8
2008
Spectral analysis and geometry of a sub-Riemannian structure on \(S^3\) and \(S^7\). Zbl 1218.58023
Bauer, Wolfram; Furutani, Kenro
6
2008
Zeta regularized determinant of the Laplacian for classes of spherical space forms. Zbl 1139.58021
Bauer, W.; Furutani, K.
4
2008
Quantization operators on quadrics. Zbl 1148.53068
Bauer, Wolfram; Furutani, Kenro
4
2008
Hilbert-Schmidt Hankel operators and Berezin iteration. Zbl 1181.47022
Bauer, Wolfram; Furutani, Kenro
1
2008
Heat kernels of the sub-Laplacian and the Laplacian on nilpotent Lie groups. Zbl 1122.35025
Furutani, Kenro
2
2006
Atiyah–Patodi–Singer boundary condition and a splitting formula of a spectral flow. Zbl 1091.58016
Furutani, Kenro
1
2006
Fredholm-Lagrangian-Grassmannian and the Maslov index. Zbl 1076.53100
Furutani, Kenro
37
2004
On the Quillen determinant. Zbl 1078.53077
Furutani, Kenro
1
2004
Determinant of Laplacians on Heisenberg manifolds. Zbl 1049.58031
Furutani, Kenro; de Gosson, Serge
7
2003
A Kähler structure on the punctured cotangent bundle of the Cayley projective plane. Zbl 1035.53103
Furutani, Kenro
1
2003
The geometry of Cauchy data spaces. Zbl 1029.58013
Booss-Bavnbek, B.; Furutani, K.; Wojciechowski, K. P.
1
2003
Maslov index in the infinite dimension and a splitting formula for a spectral flow. Zbl 1022.58004
Furutani, Kenro; Otsuki, Nobukazu
4
2002
Quantization of the geodesic flow on quaternion projective spaces. Zbl 1006.53073
Furutani, Kenro
2
2002
Criss-cross reduction of the Maslov index and a proof of the Yoshida-Nicolaescu theorem. Zbl 1038.53072
Booss-Bavnbek, Bernhelm; Furutani, Kenro; Otsuki, Nobukazu
9
2001
Symplectic functional analysis and spectral invariants. Zbl 0942.58030
Booss-Bavnbek, B.; Furutani, K.
9
1999
The Maslov index: A functional analytical definition and the spectral flow formula. Zbl 0932.37063
Booss-Bavnbek, Bernhelm; Furutani, Kenro
48
1998
The heat kernel and the spectrum of a class of nilmanifolds. Zbl 0861.58035
Furutani, Kenro
3
1996
A Kähler structure on the punctured cotangent bundle of complex and quaternion projective spaces and its application to a geometric quantization. II. Zbl 0851.53041
Furutani, Kenro; Yoshizawa, Shintaro
3
1995
A Kähler structure on the punctured cotangent bundle of complex and quaternion projective spaces and its application to a geometric quantization. I. Zbl 0830.53052
Furutani, Kenro; Tanaka, Ryuichi
2
1994
The spectrum of the Laplacian on a certain nilpotent Lie group. Zbl 0791.58096
Furutani, Kenro; Sagami, Kei; Otsuki, Nobukazu
4
1993
Spectral flow and intersection number. Zbl 0784.46052
Furutuni, Kenro; Otsuki, Nobukazu
2
1993
Spectral flow and Maslov index arising from Lagrangian intersections. Zbl 0754.58014
Otsuki, Nobukazu; Furutani, Kenro
2
1991
On a stability of essential spectra of Laplace operators on non-compact Riemannian manifolds. Zbl 0483.58019
Furutani, Kenro
1
1980
all top 5

Cited by 191 Authors

25 Furutani, Kenro
18 Bauer, Wolfram
11 Howard, Peter
11 Markina, Irina
11 Sukhtayev, Alim
10 Latushkin, Yuri
8 Booss-Bavnbek, Bernhelm
8 Chang, Der-Chen E.
8 Iwasaki, Chisato
8 Zhu, Chaofeng
5 Jones, Christopher K. R. T.
5 Piccione, Paolo
5 Sukhtaiev, Selim
5 Vasilev, Alexander
4 Cox, Graham
4 Godoy Molina, Mauricio
4 Lesch, Matthias
4 Zhang, Duanzhi
3 Baudoin, Fabrice
3 Deng, Jian
3 Feng, Sheng-Ya
3 Ghanmi, Allal
3 Portaluri, Alessandro
3 Waterstraat, Nils
2 Beck, Margaret
2 Chang, Shu-Cheng
2 Coburn, Lewis A.
2 de Gosson, Maurice Alexis
2 Eidam, José Carlos Corrêa
2 Elyseeva, Julia V.
2 Fermi, Davide
2 Fitzpatrick, Patrick Michael
2 Fulsche, Robert
2 Hafoud, Ali
2 Han, Yingbo
2 Isralowitz, Joshua
2 Jung, Soyeun
2 Laaroussi, Abdellah
2 Marzuola, Jeremy Louis
2 Morimoto, Tohru
2 Pejsachowicz, Jacobo
2 Pizzocchero, Livio
2 Recht, Lázaro A.
2 Reyes-Bustos, Cid
2 Spreafico, Mauro
2 Taniguchi, Setsuo
2 Wong, Man Wah
2 Wu, Li
2 Zhou, Yuting
1 Agrachev, Andreĭ Aleksandrovich
1 Andruchow, Esteban
1 Autenried, Christian
1 Azamov, Nurulla A.
1 Baba, Kurando
1 Ballmann, Hans Werner
1 Bandara, Lashi
1 Barilari, Davide
1 Beauchard, Karine
1 Benahmadi, Abdelhadi
1 Benevieri, Pierluigi
1 Bensalem, Naceurdine
1 Berkolaiko, Gregory
1 Beschastnyi, Ivan Yu.
1 Biagi, Stefano
1 Bieske, Thomas J.
1 Bonfiglioli, Andrea
1 Bramanti, Marco
1 Breev, Alexander I.
1 Brüning, Jochen
1 Calin, Ovidiu L.
1 Cannarsa, Piermarco
1 Carron, Gilles
1 Casarino, Valentina
1 Chen, Guoyuan
1 Chikh-Salah, A.
1 Ciatti, Paolo
1 Crâşmăreanu, Mircea
1 Dalbono, Francesca
1 D’Ambrosio, Lorenzo
1 D’Ancona, Piero
1 Dasgupta, Aparajita
1 de Gosson, Serge M.
1 Demni, Nizar
1 Fahrenwaldt, Matthias Albrecht
1 Fischer, Véronique
1 Arango Florentino, Carlos Armindo
1 Freeman, Robert D.
1 Frieder, Ophir
1 Fritzsch, Karsten
1 Froehly, André
1 Galván, Manuel López
1 Garofalo, Nicola
1 Giambò, Roberto
1 Goffeng, Magnus
1 Gontier, David
1 Gordina, Maria
1 Greiner, Peter C.
1 Grieser, Daniel
1 Grong, Erlend
1 Gumenyuk, Pavel
...and 91 more Authors
all top 5

Cited in 82 Serials

13 Journal of Geometry and Physics
10 Journal of Differential Equations
9 Journal of Functional Analysis
8 Advances in Mathematics
5 The Journal of Geometric Analysis
5 Journal of Dynamics and Differential Equations
4 Journal of Mathematical Analysis and Applications
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Journal of Evolution Equations
4 Analysis and Mathematical Physics
3 Integral Equations and Operator Theory
3 Mathematische Nachrichten
3 Mathematische Zeitschrift
3 Proceedings of the American Mathematical Society
3 Transactions of the American Mathematical Society
2 International Journal of Modern Physics A
2 Journal d’Analyse Mathématique
2 Geometriae Dedicata
2 Journal of the Mathematical Society of Japan
2 Memoirs of the American Mathematical Society
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Annals of Global Analysis and Geometry
2 Differential Geometry and its Applications
2 Communications in Partial Differential Equations
2 Potential Analysis
2 Electronic Journal of Differential Equations (EJDE)
2 Discrete and Continuous Dynamical Systems
2 Acta Mathematica Sinica. English Series
2 Advances in Geometry
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Physics A: Mathematical and Theoretical
2 Journal of Pseudo-Differential Operators and Applications
1 Applicable Analysis
1 Communications in Mathematical Physics
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Mathematical Physics
1 Letters in Mathematical Physics
1 Reviews in Mathematical Physics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Anais da Academia Brasileira de Ciências
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Archiv der Mathematik
1 Canadian Journal of Mathematics
1 Dissertationes Mathematicae
1 Indiana University Mathematics Journal
1 Journal of Algebra
1 Journal of Geometry
1 Journal of Pure and Applied Algebra
1 Monatshefte für Mathematik
1 Nagoya Mathematical Journal
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Tôhoku Mathematical Journal. Second Series
1 Tokyo Journal of Mathematics
1 Topology and its Applications
1 Revista Matemática Iberoamericana
1 Science in China. Series A
1 International Journal of Mathematics
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Kyushu Journal of Mathematics
1 The New York Journal of Mathematics
1 Journal of Lie Theory
1 Bulletin des Sciences Mathématiques
1 Annals of Mathematics and Artificial Intelligence
1 Taiwanese Journal of Mathematics
1 Geometry & Topology
1 Revista Matemática Complutense
1 Russian Physics Journal
1 Annales Henri Poincaré
1 Journal of Nonlinear Mathematical Physics
1 Journal of the Australian Mathematical Society
1 Nonlinear Dynamics and Systems Theory
1 Communications on Pure and Applied Analysis
1 Central European Journal of Mathematics
1 Analysis and Applications (Singapore)
1 Oberwolfach Reports
1 International Journal of Number Theory
1 Complex Variables and Elliptic Equations
1 Frontiers of Mathematics in China
1 Advances in Pure and Applied Mathematics
1 Journal of Spectral Theory
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Journal of Nonlinear and Variational Analysis
all top 5

Cited in 39 Fields

65 Differential geometry (53-XX)
64 Global analysis, analysis on manifolds (58-XX)
62 Partial differential equations (35-XX)
37 Operator theory (47-XX)
20 Ordinary differential equations (34-XX)
18 Dynamical systems and ergodic theory (37-XX)
17 Topological groups, Lie groups (22-XX)
16 Several complex variables and analytic spaces (32-XX)
12 Quantum theory (81-XX)
11 Nonassociative rings and algebras (17-XX)
8 Number theory (11-XX)
8 Functional analysis (46-XX)
7 Mechanics of particles and systems (70-XX)
6 Manifolds and cell complexes (57-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Special functions (33-XX)
5 Abstract harmonic analysis (43-XX)
4 Combinatorics (05-XX)
4 Probability theory and stochastic processes (60-XX)
3 Functions of a complex variable (30-XX)
3 Potential theory (31-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
2 Associative rings and algebras (16-XX)
2 Real functions (26-XX)
2 Approximations and expansions (41-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Biology and other natural sciences (92-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Algebraic geometry (14-XX)
1 Difference and functional equations (39-XX)
1 Algebraic topology (55-XX)
1 Numerical analysis (65-XX)
1 Computer science (68-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Relativity and gravitational theory (83-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Systems theory; control (93-XX)

Citations by Year