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Abarbanel, Henry D. I.

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Author ID: abarbanel.henry-d-i Recent zbMATH articles by "Abarbanel, Henry D. I."
Published as: Abarbanel, H. D. I.; Abarbanel, Henry D. I.
Documents Indexed: 56 Publications since 1970, including 3 Books

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 514 times in 387 Documents Cited by Year
Analysis of observed chaotic data. Springer Study Edition. Zbl 0890.93006
Abarbanel, Henry D. I.
143
1996
Analysing and utilizing time-series observations from chaotic systems. Zbl 0875.70114
Abarbanel, H. D. I.
55
1994
Variation of Lyapunov exponents on a strange attractor. Zbl 0797.58053
Abarbanel, H. D. I.; Brown, R.; Kennel, M. B.
30
1991
Nonlinear stability analysis of stratified fluid equilibria. Zbl 0637.76119
Abarbanel, H. D. I.; Holm, D. D.; Marsden, J. E.; Ratiu, T. S.
29
1986
Local Lyapunov exponents computed from observed data. Zbl 0802.58041
Abarbanel, H. D. I.; Brown, R.; Kennel, M. B.
28
1992
Estimating entropy rates with Bayesian confidence intervals. Zbl 1064.62005
Kennel, Matthew B.; Shlens, Jonathon; Abarbanel, Henry D. I.; Chichilnisky, E. J.
17
2005
Lyapunov exponents in chaotic systems: Their importance and their evaluation using observed data. Zbl 0737.58051
Abarbanel, Henry D. I.; Brown, Reggie; Kennel, M. B.
17
1991
Lyapunov exponents from observed time series. Zbl 1050.37520
Bryant, Paul; Brown, Reggie; Abarbanel, Henry D. I.
17
1990
Dynamical state and parameter estimation. Zbl 1175.49026
Abarbanel, Henry D. I.; Creveling, Daniel R.; Farsian, Reza; Kostuk, Mark
16
2009
Nonlinear stability analysis of inviscid flows in three dimensions: Incompressible fluids and barotropic fluids. Zbl 0666.76073
Abarbanel, Henry D. I.; Holm, Darryl D.
14
1987
Correlations of periodic, area-preserving maps. Zbl 1194.37017
Meiss, James D.; Cary, John R.; Grebogi, Celso; Crawford, John D.; Kaufman, Allan N.; Abarbanel, Henry D. I.
13
1983
Analysis of observed chaotic data. Zbl 0843.93004
Abarbanel, Henry D. I.
12
1995
Biophysical model of synaptic plasticity dynamics. Zbl 1094.92010
Abarbanel, Henry D. I.; Gibb, Leif; Huerta, R.; Rabinovich, M. I.
11
2003
Self-organization in the olfactory system: one shot odor recognition in insects. Zbl 1132.92321
Nowotny, Thomas; Huerta, Ramón; Abarbanel, Henry D. I.; Rabinovich, Mikhail I.
10
2005
Learning classification in the olfactory system of insects. Zbl 1053.92011
Huerta, Ramón; Nowotny, Thomas; García-Sanchez, Marta; Abarbanel, H. D. I.; Rabinovich, M. I.
10
2004
Noise reduction in chaotic time series using scaled probabilistic methods. Zbl 0799.60039
Marteau, P. F.; Abarbanel, H. D. I.
10
1991
Hamiltonian formulation of inviscid flows with free boundaries. Zbl 0656.76002
Abarbanel, Henry D. I.; Brown, Reggie; Yang, Yumin M.
9
1988
State and parameter estimation in nonlinear systems as an optimal tracking problem. Zbl 1220.60024
Creveling, Daniel R.; Gill, Philip E.; Abarbanel, Henry D. I.
8
2008
Predicting the future. Completing models of observed complex systems. Zbl 1281.62212
Abarbanel, Henry D. I.
7
2013
Effective actions for statistical data assimilation. Zbl 1234.82008
Abarbanel, Henry D. I.
5
2009
Tools for the analysis of chaotic data. Zbl 0863.58048
Abarbanel, Henry D. I.
5
1997
Dynamical estimation of neuron and network properties. I: Variational methods. Zbl 1248.92015
Toth, Bryan A.; Kostuk, Mark; Meliza, C. Daniel; Margoliash, Daniel; Abarbanel, Henry D. I.
4
2011
Estimating information rates with confidence intervals in neural spike trains. Zbl 1146.68435
Shlens, Jonathon; Kennel, Matthew B.; Abarbanel, Henry D. I.; Chichilnisky, E. J.
4
2007
Distribution of mutual information. Zbl 0983.37102
Abarbanel, H. D. I.; Masuda, N.; Rabinovich, M. I.; Tumer, E.
4
2001
Optimal control of nonlinear systems to given orbits. Zbl 0901.93033
Abarbanel, Henry D. I.; Korzinov, Lev; Mees, Alistair I.; Starobinets, Igor M.
4
1997
A unifying view of synchronization for data assimilation in complex nonlinear networks. Zbl 1390.92055
Abarbanel, Henry D. I.; Shirman, Sasha; Breen, Daniel; Kadakia, Nirag; Rey, Daniel; Armstrong, Eve; Margoliash, Daniel
3
2017
Nonlinear statistical data assimilation for \(\mathrm{HVC}_{\mathrm{RA}}\) neurons in the Avian song system. Zbl 1382.92015
Kadakia, Nirag; Armstrong, Eve; Breen, Daniel; Morone, Uriel; Daou, Arij; Margoliash, Daniel; Abarbanel, Henry D. I.
3
2016
Accurate state and parameter estimation in nonlinear systems with sparse observations. Zbl 1293.93722
Rey, Daniel; Eldridge, Michael; Kostuk, Mark; Abarbanel, Henry D. I.; Schumann-Bischoff, Jan; Parlitz, Ulrich
3
2014
Universality and strange attractors in internal-wave dynamics. Zbl 0548.76030
Abarbanel, Henry D. I.
3
1983
Non-linear diffusion in Hamiltonian systems exhibiting chaotic motion. Zbl 1194.37045
Abarbanel, Henry D. I.
3
1981
Dynamical estimation of neuron and network properties. II: Path integral Monte Carlo methods. Zbl 1387.92018
Kostuk, Mark; Toth, Bryan A.; Meliza, C. Daniel; Margoliash, Daniel; Abarbanel, Henry D. I.
2
2012
Nonlinear cooperative dynamics of living neurons. Zbl 1090.92506
Rabinovich, Mikhail I.; Varona, Pablo; Abarbanel, Henry D. I.
2
2000
Local or dynamical dimensions of nonlinear systems inferred from observations. Zbl 0900.58021
Abarbanel, Henry D. I.; Sushchik, Mikhail M.
2
1993
Phase space density representation of inviscid fluid dynamics. Zbl 0642.76004
Abarbanel, Henry D. I.; Rouhi, A.
2
1987
Laplace transforms and the diagonalization of Bethe-Salpeter equations for absorptive parts. Zbl 0197.26103
Abarbanel, H. D. I.; Saunders, L. M.
2
1970
Data assimilation using a GPU accelerated path integral Monte Carlo approach. Zbl 1231.65013
Quinn, John C.; Abarbanel, Henry D. I.
1
2011
Dynamical synaptic plasticity: a model and connection to some experiments. Zbl 1075.92025
Whitehead, A.; Rabinovich, M. I.; Huerta, R.; Zhigulin, V. P.; Abarbanel, Henry D. I.
1
2003
Spatio-temporal patterns of network activity in the inferior olive. Zbl 1007.68833
Varona, Pablo; Aguirre, Carlos; Torres, Joaquín J.; Abarbanel, Henry D. I.; Rabinovich, Mikhail I.
1
2002
Hamiltonian description of almost geostrophic flow. Zbl 0576.76105
Abarbanel, Henry D. I.
1
1985
Scattering from a random surface. Zbl 0507.76032
Abarbanel, Henry D. I.
1
1980
The inverse r-squared force: An introduction to its symmetries. Zbl 0346.70011
Abarbanel, Henry D. I.
1
1976
Partial diagonalization of absorptive part equations by Laplace transforms. Zbl 0209.13301
Abarbanel, H. D. I.; Saunders, L. M.
1
1971
A unifying view of synchronization for data assimilation in complex nonlinear networks. Zbl 1390.92055
Abarbanel, Henry D. I.; Shirman, Sasha; Breen, Daniel; Kadakia, Nirag; Rey, Daniel; Armstrong, Eve; Margoliash, Daniel
3
2017
Nonlinear statistical data assimilation for \(\mathrm{HVC}_{\mathrm{RA}}\) neurons in the Avian song system. Zbl 1382.92015
Kadakia, Nirag; Armstrong, Eve; Breen, Daniel; Morone, Uriel; Daou, Arij; Margoliash, Daniel; Abarbanel, Henry D. I.
3
2016
Accurate state and parameter estimation in nonlinear systems with sparse observations. Zbl 1293.93722
Rey, Daniel; Eldridge, Michael; Kostuk, Mark; Abarbanel, Henry D. I.; Schumann-Bischoff, Jan; Parlitz, Ulrich
3
2014
Predicting the future. Completing models of observed complex systems. Zbl 1281.62212
Abarbanel, Henry D. I.
7
2013
Dynamical estimation of neuron and network properties. II: Path integral Monte Carlo methods. Zbl 1387.92018
Kostuk, Mark; Toth, Bryan A.; Meliza, C. Daniel; Margoliash, Daniel; Abarbanel, Henry D. I.
2
2012
Dynamical estimation of neuron and network properties. I: Variational methods. Zbl 1248.92015
Toth, Bryan A.; Kostuk, Mark; Meliza, C. Daniel; Margoliash, Daniel; Abarbanel, Henry D. I.
4
2011
Data assimilation using a GPU accelerated path integral Monte Carlo approach. Zbl 1231.65013
Quinn, John C.; Abarbanel, Henry D. I.
1
2011
Dynamical state and parameter estimation. Zbl 1175.49026
Abarbanel, Henry D. I.; Creveling, Daniel R.; Farsian, Reza; Kostuk, Mark
16
2009
Effective actions for statistical data assimilation. Zbl 1234.82008
Abarbanel, Henry D. I.
5
2009
State and parameter estimation in nonlinear systems as an optimal tracking problem. Zbl 1220.60024
Creveling, Daniel R.; Gill, Philip E.; Abarbanel, Henry D. I.
8
2008
Estimating information rates with confidence intervals in neural spike trains. Zbl 1146.68435
Shlens, Jonathon; Kennel, Matthew B.; Abarbanel, Henry D. I.; Chichilnisky, E. J.
4
2007
Estimating entropy rates with Bayesian confidence intervals. Zbl 1064.62005
Kennel, Matthew B.; Shlens, Jonathon; Abarbanel, Henry D. I.; Chichilnisky, E. J.
17
2005
Self-organization in the olfactory system: one shot odor recognition in insects. Zbl 1132.92321
Nowotny, Thomas; Huerta, Ramón; Abarbanel, Henry D. I.; Rabinovich, Mikhail I.
10
2005
Learning classification in the olfactory system of insects. Zbl 1053.92011
Huerta, Ramón; Nowotny, Thomas; García-Sanchez, Marta; Abarbanel, H. D. I.; Rabinovich, M. I.
10
2004
Biophysical model of synaptic plasticity dynamics. Zbl 1094.92010
Abarbanel, Henry D. I.; Gibb, Leif; Huerta, R.; Rabinovich, M. I.
11
2003
Dynamical synaptic plasticity: a model and connection to some experiments. Zbl 1075.92025
Whitehead, A.; Rabinovich, M. I.; Huerta, R.; Zhigulin, V. P.; Abarbanel, Henry D. I.
1
2003
Spatio-temporal patterns of network activity in the inferior olive. Zbl 1007.68833
Varona, Pablo; Aguirre, Carlos; Torres, Joaquín J.; Abarbanel, Henry D. I.; Rabinovich, Mikhail I.
1
2002
Distribution of mutual information. Zbl 0983.37102
Abarbanel, H. D. I.; Masuda, N.; Rabinovich, M. I.; Tumer, E.
4
2001
Nonlinear cooperative dynamics of living neurons. Zbl 1090.92506
Rabinovich, Mikhail I.; Varona, Pablo; Abarbanel, Henry D. I.
2
2000
Tools for the analysis of chaotic data. Zbl 0863.58048
Abarbanel, Henry D. I.
5
1997
Optimal control of nonlinear systems to given orbits. Zbl 0901.93033
Abarbanel, Henry D. I.; Korzinov, Lev; Mees, Alistair I.; Starobinets, Igor M.
4
1997
Analysis of observed chaotic data. Springer Study Edition. Zbl 0890.93006
Abarbanel, Henry D. I.
143
1996
Analysis of observed chaotic data. Zbl 0843.93004
Abarbanel, Henry D. I.
12
1995
Analysing and utilizing time-series observations from chaotic systems. Zbl 0875.70114
Abarbanel, H. D. I.
55
1994
Local or dynamical dimensions of nonlinear systems inferred from observations. Zbl 0900.58021
Abarbanel, Henry D. I.; Sushchik, Mikhail M.
2
1993
Local Lyapunov exponents computed from observed data. Zbl 0802.58041
Abarbanel, H. D. I.; Brown, R.; Kennel, M. B.
28
1992
Variation of Lyapunov exponents on a strange attractor. Zbl 0797.58053
Abarbanel, H. D. I.; Brown, R.; Kennel, M. B.
30
1991
Lyapunov exponents in chaotic systems: Their importance and their evaluation using observed data. Zbl 0737.58051
Abarbanel, Henry D. I.; Brown, Reggie; Kennel, M. B.
17
1991
Noise reduction in chaotic time series using scaled probabilistic methods. Zbl 0799.60039
Marteau, P. F.; Abarbanel, H. D. I.
10
1991
Lyapunov exponents from observed time series. Zbl 1050.37520
Bryant, Paul; Brown, Reggie; Abarbanel, Henry D. I.
17
1990
Hamiltonian formulation of inviscid flows with free boundaries. Zbl 0656.76002
Abarbanel, Henry D. I.; Brown, Reggie; Yang, Yumin M.
9
1988
Nonlinear stability analysis of inviscid flows in three dimensions: Incompressible fluids and barotropic fluids. Zbl 0666.76073
Abarbanel, Henry D. I.; Holm, Darryl D.
14
1987
Phase space density representation of inviscid fluid dynamics. Zbl 0642.76004
Abarbanel, Henry D. I.; Rouhi, A.
2
1987
Nonlinear stability analysis of stratified fluid equilibria. Zbl 0637.76119
Abarbanel, H. D. I.; Holm, D. D.; Marsden, J. E.; Ratiu, T. S.
29
1986
Hamiltonian description of almost geostrophic flow. Zbl 0576.76105
Abarbanel, Henry D. I.
1
1985
Correlations of periodic, area-preserving maps. Zbl 1194.37017
Meiss, James D.; Cary, John R.; Grebogi, Celso; Crawford, John D.; Kaufman, Allan N.; Abarbanel, Henry D. I.
13
1983
Universality and strange attractors in internal-wave dynamics. Zbl 0548.76030
Abarbanel, Henry D. I.
3
1983
Non-linear diffusion in Hamiltonian systems exhibiting chaotic motion. Zbl 1194.37045
Abarbanel, Henry D. I.
3
1981
Scattering from a random surface. Zbl 0507.76032
Abarbanel, Henry D. I.
1
1980
The inverse r-squared force: An introduction to its symmetries. Zbl 0346.70011
Abarbanel, Henry D. I.
1
1976
Partial diagonalization of absorptive part equations by Laplace transforms. Zbl 0209.13301
Abarbanel, H. D. I.; Saunders, L. M.
1
1971
Laplace transforms and the diagonalization of Bethe-Salpeter equations for absorptive parts. Zbl 0197.26103
Abarbanel, H. D. I.; Saunders, L. M.
2
1970
all top 5

Cited by 831 Authors

16 Abarbanel, Henry D. I.
9 Parlitz, Ulrich
8 Holm, Darryl D.
8 Marsden, Jerrold Eldon
8 Mees, Alistair I.
7 Huerta, Ramón
7 Judd, Kevin
7 Ratiu, Tudor Stefan
5 Aihara, Kazuyuki
5 Margoliash, Daniel
5 Small, Michael
4 Gencay, Ramazan
4 Kennel, Matthew B.
4 Kurths, Jürgen
4 Nowotny, Thomas
4 Pardalos, Panos M.
4 Rabinovich, Mikhail I.
3 Aguilar-Ibáñez, Carlos Fernando
3 Amigó, José María
3 Antoniou, Ioannis E.
3 Armstrong, Eve
3 Attux, Romis
3 Billings, Stephen A.
3 Boccaletti, Stefano
3 Bollt, Erik M.
3 Boyarsky, Abraham
3 Bradley, Elizabeth
3 Breen, Daniel
3 Dechert, W. Davis
3 Góra, Paweł
3 Gümral, Hasan
3 Ivanov, Valery V.
3 Kadakia, Nirag
3 Kostuk, Mark
3 Luther, Stefan
3 Matouk, A. E.
3 Ott, Edward
3 Panella, Massimo
3 Puthusserypady, Sadasivan
3 Rey, Daniel
3 Sackellares, J. Chris
3 Schumann-Bischoff, Jan
3 Shiau, Deng-Shan
3 Shishkov, S. Yu.
3 Soriano, Diogo C.
3 Suyama, Ricardo
3 Talathi, Sachin S.
3 Victor, Jonathan D.
3 Zrelov, P. V.
2 Aguirre, Luis Antonio
2 Akishin, Pavel G.
2 Akritas, P.
2 Allen, John S.
2 Babovic, Vladan
2 Babu, Gutti Jogesh
2 Balakrishnan, Varsha
2 Bloch, Anthony M.
2 Bonushkina, A. Yu.
2 Bouchara, Frédéric
2 Carney, Paul R.
2 Chakraborty, Sagar
2 Chaovalitwongse, Wanpracha Art
2 Chaubey, Yogendra P.
2 de Oliveira, José Raimundo
2 Drossinos, I.
2 Fazanaro, Filipe I.
2 Feudel, Ulrike
2 Garrido Moctezuma, Rubén A.
2 Gomes, Alexandra A.
2 Grebogi, Celso
2 Hirata, Yoshito
2 Iasemidis, Leonidas D.
2 Iplikci, Serdar
2 Jolly, Michael S.
2 Kalinovsky, Yu. L.
2 Kantz, Holger
2 Kazantsev, Eugene
2 Khargonekar, Pramod P.
2 Korenkov, V. V.
2 Korus, Łukasz
2 Krishnaprasad, P.s.
2 Kurz, Thomas
2 Lai, Yingcheng
2 Lakshmibala, S.
2 Lauterborn, Werner
2 Lewis, Debra
2 Lim, Teck Por
2 Litak, Grzegorz
2 Madrid, Marconi K.
2 Manica, Evandro
2 Maus, Arne
2 Meiss, James D.
2 Meliza, C. Daniel
2 Mendes, Eduardo M. A. M.
2 Miguel, Narcís
2 Mukherjee, Sayan
2 Nakamura, Tomomichi
2 Nandi, Amitabha
2 Pillow, Jonathan W.
2 Prasad, Awadhesh
...and 731 more Authors
all top 5

Cited in 102 Serials

60 Physica D
43 Chaos
30 Chaos, Solitons and Fractals
25 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
20 Physics Letters. A
16 Biological Cybernetics
14 Neural Computation
13 Journal of Fluid Mechanics
8 Journal of Statistical Physics
8 Journal of Computational Neuroscience
7 Nonlinear Dynamics
6 Communications in Nonlinear Science and Numerical Simulation
5 Physica A
5 Journal of Nonlinear Science
4 Physics Reports
3 Journal of the Franklin Institute
3 Journal of Mathematical Physics
3 Theoretical and Mathematical Physics
3 Applied Mathematics and Computation
3 International Journal of Circuit Theory and Applications
3 Applied Mathematics Letters
3 Physics of Fluids
3 Mathematical Problems in Engineering
3 Entropy
2 Archive for Rational Mechanics and Analysis
2 Communications in Mathematical Physics
2 Computer Physics Communications
2 International Journal for Numerical Methods in Fluids
2 International Journal of Theoretical Physics
2 Journal of Computational Physics
2 Psychometrika
2 Theoretical Population Biology
2 Neural Networks
2 Applied Mathematical Modelling
2 Computational Statistics and Data Analysis
2 International Journal of Applied Mathematics and Computer Science
2 Foundations of Computational Mathematics
2 The Journal of Mathematical Neuroscience
1 Artificial Intelligence
1 International Journal of Control
1 International Journal of Engineering Science
1 Journal of Mathematical Biology
1 Mathematical Biosciences
1 Nonlinearity
1 Reviews of Modern Physics
1 Wave Motion
1 Physics of Fluids, A
1 Theoretical and Computational Fluid Dynamics
1 Journal of Geometry and Physics
1 Advances in Mathematics
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
1 The Annals of Statistics
1 Automatica
1 Information Sciences
1 Journal of Differential Equations
1 Journal of Mathematical Psychology
1 Mathematics and Computers in Simulation
1 Meccanica
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Studies in Applied Mathematics
1 Synthese
1 Systems & Control Letters
1 Statistics & Probability Letters
1 Applied Mathematics and Mechanics. (English Edition)
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Computational Mechanics
1 Dynamics and Stability of Systems
1 Signal Processing
1 International Journal of Adaptive Control and Signal Processing
1 Numerical Algorithms
1 International Journal of Computer Mathematics
1 Journal of Non-Equilibrium Thermodynamics
1 Linear Algebra and its Applications
1 Pattern Recognition
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Cybernetics and Systems Analysis
1 Continuum Mechanics and Thermodynamics
1 Complexity
1 Discrete and Continuous Dynamical Systems
1 Mathematics and Mechanics of Solids
1 Multibody System Dynamics
1 Journal of Combinatorial Optimization
1 Journal of Theoretical Medicine
1 Discrete Dynamics in Nature and Society
1 European Journal of Mechanics. B. Fluids
1 Physical Review Letters
1 Nonlinear Analysis. Real World Applications
1 Nonlinear Analysis. Modelling and Control
1 Journal of Statistical Mechanics: Theory and Experiment
1 Foundations of Physics
1 Applications and Applied Mathematics
1 Mathematical Modelling of Natural Phenomena
1 The Annals of Applied Statistics
1 Monograph Series on Nonlinear Science and Complexity
1 Advances in Fuzzy Systems
1 MathematicS In Action
1 Statistics Surveys
1 Advances in Decision Sciences
1 Journal of Theoretical Biology
...and 2 more Serials
all top 5

Cited in 39 Fields

195 Dynamical systems and ergodic theory (37-XX)
76 Biology and other natural sciences (92-XX)
71 Statistics (62-XX)
60 Fluid mechanics (76-XX)
50 Systems theory; control (93-XX)
46 Ordinary differential equations (34-XX)
39 Mechanics of particles and systems (70-XX)
30 Information and communication theory, circuits (94-XX)
21 Computer science (68-XX)
19 Numerical analysis (65-XX)
19 Geophysics (86-XX)
18 Probability theory and stochastic processes (60-XX)
15 Partial differential equations (35-XX)
12 Statistical mechanics, structure of matter (82-XX)
10 Mechanics of deformable solids (74-XX)
10 Operations research, mathematical programming (90-XX)
6 Classical thermodynamics, heat transfer (80-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Optics, electromagnetic theory (78-XX)
5 Quantum theory (81-XX)
3 Topological groups, Lie groups (22-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Difference and functional equations (39-XX)
2 Differential geometry (53-XX)
2 Relativity and gravitational theory (83-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Nonassociative rings and algebras (17-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Functional analysis (46-XX)
1 Operator theory (47-XX)
1 Manifolds and cell complexes (57-XX)

Citations by Year