Instability zones of periodic 1-dimensional Schrödinger and Dirac operators. Zbl 1128.47041
Djakov, P.; Mityagin, B. S. |
|
2006
|
Generalization of a theorem of Bohr for bases in spaces of holomorphic functions of several complex variables. Zbl 0988.32005
Aizenberg, Lev; Aytuna, Aydin; Djakov, Plamen |
|
2001
|
Criteria for existence of Riesz bases consisting of root functions of Hill and 1D Dirac operators. Zbl 1263.34121
Djakov, Plamen; Mityagin, Boris |
|
2012
|
A remark on Bohr’s theorem and its generalizations. Zbl 0969.30001
Djakov, P. B.; Ramanujan, M. S. |
|
2000
|
Unconditional convergence of spectral decompositions of 1D Dirac operators with regular boundary conditions. Zbl 1297.47047
Djakov, Plamen; Mityagin, Boris |
|
2012
|
Bari-Markus property for Riesz projections of 1D periodic Dirac operators. Zbl 1198.34188
Djakov, P.; Mityagin, B. |
|
2010
|
Convergence of spectral decompositions of Hill operators with trigonometric polynomial potentials. Zbl 1367.47050
Djakov, Plamen; Mityagin, Boris |
|
2011
|
An abstract approach to Bohr’s phenomenon. Zbl 0958.46015
Aizenberg, L.; Aytuna, A.; Djakov, P. |
|
2000
|
Simple and double eigenvalues of the Hill operator with a two-term potential. Zbl 1080.34066
Djakov, Plamen; Mityagin, Boris |
|
2005
|
Spectral triangles of Schrödinger operators with complex potentials. Zbl 1088.34072
Djakov, Plamen; Mityagin, Boris |
|
2003
|
Riesz bases consisting of root functions of 1D Dirac operators. Zbl 1297.47046
Djakov, Plamen; Mityagin, Boris |
|
2013
|
Smoothness of Schrödinger operator potential in the case of Gevrey type asymptotics of the gaps. Zbl 1037.34080
Djakov, Plamen; Mityagin, Boris |
|
2002
|
Convergence of spectral decompositions of Hill operators with trigonometric polynomial potentials. Zbl 1242.34148
Djakov, P. B.; Mityagin, B. S. |
|
2011
|
Bohr property of bases in the space of entire functions and its generalizations. Zbl 1276.32001
Aytuna, Aydin; Djakov, Plamen |
|
2013
|
Spectral gaps of the periodic Schrödinger operator when its potential is an entire function. Zbl 1047.34100
Djakov, Plamen; Mityagin, Boris |
|
2003
|
Equiconvergence of spectral decompositions of 1D Dirac operators with regular boundary conditions. Zbl 1258.34174
Djakov, Plamen; Mityagin, Boris |
|
2012
|
Spectral gaps of Schrödinger operators with periodic singular potentials. Zbl 1238.34151
Djakov, Plamen; Mityagin, Boris |
|
2009
|
Spectral gap asymptotics of one-dimensional Schrödinger operators with singular periodic potentials. Zbl 1176.34108
Djakov, P.; Mityagin, B. |
|
2009
|
Asymptotics of instability zones of the Hill operator with a two term potential. Zbl 1115.34079
Djakov, Plamen; Mityagin, Boris |
|
2007
|
Instability zones of a periodic 1D Dirac operator and smoothness of its potential. Zbl 1083.34064
Djakov, Plamen; Mityagin, Boris |
|
2005
|
Modified construction of nuclear Frechet spaces without basis. Zbl 0339.46004
Djakov, Plamen; Mitiagin, Boris |
|
1976
|
Spectra of 1-D periodic Dirac operators and smoothness of potentials. Zbl 1079.47044
Djakov, Plamen; Mityagin, Boris |
|
2003
|
Fourier method for one-dimensional Schrödinger operators with singular periodic potentials. Zbl 1200.34107
Djakov, Plamen; Mityagin, Boris |
|
2010
|
1D Dirac operators with special periodic potentials. Zbl 1256.47029
Djakov, Plamen; Mityagin, Boris |
|
2012
|
Bari-Markus property for Riesz projections of Hill operators with singular potentials. Zbl 1185.34130
Djakov, Plamen; Mityagin, Boris |
|
2009
|
Multipliers between Orlicz sequence spaces. Zbl 0977.46008
Djakov, P. B.; Ramanujan, M. S. |
|
2000
|
Asymptotics of instability zones of Hill operators with a two term potential. Zbl 1063.34081
Djakov, Plamen; Mityagin, Boris |
|
2004
|
Trace formula and spectral Riemann surfaces for a class of tri-diagonal matrices. Zbl 1118.47022
Djakov, Plamen; Mityagin, Boris |
|
2006
|
Equiconvergence of spectral decompositions of Hill-Schrödinger operators. Zbl 1317.47044
Djakov, Plamen; Mityagin, Boris |
|
2013
|
Refined asymptotics of the spectral gap for the Mathieu operator. Zbl 1256.34078
Anahtarci, Berkay; Djakov, Plamen |
|
2012
|
Riesz basis property of Hill operators with potentials in weighted spaces. Zbl 1369.47055
Djakov, Plamen B.; Mityagin, Boris Samuilovich |
|
2014
|
The asymptotics of spectral gaps of a 1D Dirac operator with cosine potential. Zbl 1046.34096
Djakov, Plamen; Mityagin, Boris |
|
2003
|
Smoothness of solutions of a nonlinear ODE. Zbl 1029.34004
Djakov, Plamen; Mityagin, Boris |
|
2002
|
A short proof of the theorem of Crone and Robinson on quasiequivalence of regular bases. Zbl 0317.46007
Djakov, Plamen B. |
|
1975
|
The structure of polynomial ideals in the algebra of entire functions. Zbl 0434.46034
Djakov, P. B.; Mitiagin, B. S. |
|
1980
|
Smoothness of solutions of nonlinear ODE. Zbl 1020.34083
Djakov, Plamen; Mityagin, Boris |
|
2002
|
Multiplicities of the eigenvalues of periodic Dirac operators. Zbl 1069.34128
Djakov, Plamen; Mityagin, Boris |
|
2005
|
Divergence of spectral decompositions of Hill operators with two exponential term potentials. Zbl 1286.34113
Djakov, Plamen; Mityagin, Boris |
|
2013
|
Compound invariants and embeddings of Cartesian products. Zbl 0951.46006
Chalov, P. A.; Djakov, P. B.; Zahariuta, V. P. |
|
1999
|
Bounded operators and complemented subspaces of Cartesian products. Zbl 1217.46003
Djakov, P.; Terzioğlu, T.; Yurdakul, M.; Zahariuta, V. |
|
2011
|
Bounded operators and isomorphisms of Cartesian products of Fréchet spaces. Zbl 0973.46004
Djakov, P.; Terzioğlu, T.; Yurdakul, M.; Zahariuta, V. |
|
1998
|
Some open problems in the theory of locally convex spaces. Zbl 0859.46002
Aytuna, A.; Djakov, P. B.; Goncharov, A. P.; Terzioğlu, T.; Zahariuta, V. P. |
|
1994
|
Convergence radii for eigenvalues of tri-diagonal matrices. Zbl 1200.47039
Adduci, James; Djakov, Plamen; Mityagin, Boris |
|
2010
|
Bounded and unbounded operators between Köthe spaces. Zbl 1037.46004
Djakov, P. B.; Ramanujan, M. S. |
|
2002
|
Complemented block subspaces of Köthe spaces. Zbl 0678.46004
Dyakov, Plamen B.; Dubinsky, Ed |
|
1988
|
Spectral triangles of non-selfadjoint Hill and Dirac operators. Zbl 07281941
Djakov, P. B.; Mityagin, B. S. |
|
2020
|
Combinatorial identities related to eigen-function decompositions of Hill operators: open questions. Zbl 1276.47058
Djakov, Plamen; Mityagin, Boris |
|
2013
|
Equiconvergence of spectral decompositions of Hill operators. Zbl 1258.47052
Djakov, P. B.; Mityagin, B. S. |
|
2012
|
A criterium for the existence of bases in nuclear Fréchet spaces. Zbl 0853.46004
Djakov, Plamen B. |
|
1993
|
On Cartesian products of locally convex spaces. Zbl 0888.46001
Chalov, A. P.; Djakov, P. B.; Terzioğlu, T.; Zahariuta, V. P. |
|
1995
|
Isomorphic classification of Cartesian products of power series spaces. Zbl 0890.46008
Djakov, P. B.; Yurdakul, M.; Zahariuta, V. P. |
|
1996
|
Strictly singular operators and isomorphisms of Cartesian products of power series spaces. Zbl 0919.46003
Diakov, P. B.; Önal, S.; Terzioǧlu, T.; Yurdakul, M. |
|
1998
|
Spectral triangles of non-selfadjoint Hill and Dirac operators. Zbl 07281941
Djakov, P. B.; Mityagin, B. S. |
|
2020
|
Riesz basis property of Hill operators with potentials in weighted spaces. Zbl 1369.47055
Djakov, Plamen B.; Mityagin, Boris Samuilovich |
|
2014
|
Riesz bases consisting of root functions of 1D Dirac operators. Zbl 1297.47046
Djakov, Plamen; Mityagin, Boris |
|
2013
|
Bohr property of bases in the space of entire functions and its generalizations. Zbl 1276.32001
Aytuna, Aydin; Djakov, Plamen |
|
2013
|
Equiconvergence of spectral decompositions of Hill-Schrödinger operators. Zbl 1317.47044
Djakov, Plamen; Mityagin, Boris |
|
2013
|
Divergence of spectral decompositions of Hill operators with two exponential term potentials. Zbl 1286.34113
Djakov, Plamen; Mityagin, Boris |
|
2013
|
Combinatorial identities related to eigen-function decompositions of Hill operators: open questions. Zbl 1276.47058
Djakov, Plamen; Mityagin, Boris |
|
2013
|
Criteria for existence of Riesz bases consisting of root functions of Hill and 1D Dirac operators. Zbl 1263.34121
Djakov, Plamen; Mityagin, Boris |
|
2012
|
Unconditional convergence of spectral decompositions of 1D Dirac operators with regular boundary conditions. Zbl 1297.47047
Djakov, Plamen; Mityagin, Boris |
|
2012
|
Equiconvergence of spectral decompositions of 1D Dirac operators with regular boundary conditions. Zbl 1258.34174
Djakov, Plamen; Mityagin, Boris |
|
2012
|
1D Dirac operators with special periodic potentials. Zbl 1256.47029
Djakov, Plamen; Mityagin, Boris |
|
2012
|
Refined asymptotics of the spectral gap for the Mathieu operator. Zbl 1256.34078
Anahtarci, Berkay; Djakov, Plamen |
|
2012
|
Equiconvergence of spectral decompositions of Hill operators. Zbl 1258.47052
Djakov, P. B.; Mityagin, B. S. |
|
2012
|
Convergence of spectral decompositions of Hill operators with trigonometric polynomial potentials. Zbl 1367.47050
Djakov, Plamen; Mityagin, Boris |
|
2011
|
Convergence of spectral decompositions of Hill operators with trigonometric polynomial potentials. Zbl 1242.34148
Djakov, P. B.; Mityagin, B. S. |
|
2011
|
Bounded operators and complemented subspaces of Cartesian products. Zbl 1217.46003
Djakov, P.; Terzioğlu, T.; Yurdakul, M.; Zahariuta, V. |
|
2011
|
Bari-Markus property for Riesz projections of 1D periodic Dirac operators. Zbl 1198.34188
Djakov, P.; Mityagin, B. |
|
2010
|
Fourier method for one-dimensional Schrödinger operators with singular periodic potentials. Zbl 1200.34107
Djakov, Plamen; Mityagin, Boris |
|
2010
|
Convergence radii for eigenvalues of tri-diagonal matrices. Zbl 1200.47039
Adduci, James; Djakov, Plamen; Mityagin, Boris |
|
2010
|
Spectral gaps of Schrödinger operators with periodic singular potentials. Zbl 1238.34151
Djakov, Plamen; Mityagin, Boris |
|
2009
|
Spectral gap asymptotics of one-dimensional Schrödinger operators with singular periodic potentials. Zbl 1176.34108
Djakov, P.; Mityagin, B. |
|
2009
|
Bari-Markus property for Riesz projections of Hill operators with singular potentials. Zbl 1185.34130
Djakov, Plamen; Mityagin, Boris |
|
2009
|
Asymptotics of instability zones of the Hill operator with a two term potential. Zbl 1115.34079
Djakov, Plamen; Mityagin, Boris |
|
2007
|
Instability zones of periodic 1-dimensional Schrödinger and Dirac operators. Zbl 1128.47041
Djakov, P.; Mityagin, B. S. |
|
2006
|
Trace formula and spectral Riemann surfaces for a class of tri-diagonal matrices. Zbl 1118.47022
Djakov, Plamen; Mityagin, Boris |
|
2006
|
Simple and double eigenvalues of the Hill operator with a two-term potential. Zbl 1080.34066
Djakov, Plamen; Mityagin, Boris |
|
2005
|
Instability zones of a periodic 1D Dirac operator and smoothness of its potential. Zbl 1083.34064
Djakov, Plamen; Mityagin, Boris |
|
2005
|
Multiplicities of the eigenvalues of periodic Dirac operators. Zbl 1069.34128
Djakov, Plamen; Mityagin, Boris |
|
2005
|
Asymptotics of instability zones of Hill operators with a two term potential. Zbl 1063.34081
Djakov, Plamen; Mityagin, Boris |
|
2004
|
Spectral triangles of Schrödinger operators with complex potentials. Zbl 1088.34072
Djakov, Plamen; Mityagin, Boris |
|
2003
|
Spectral gaps of the periodic Schrödinger operator when its potential is an entire function. Zbl 1047.34100
Djakov, Plamen; Mityagin, Boris |
|
2003
|
Spectra of 1-D periodic Dirac operators and smoothness of potentials. Zbl 1079.47044
Djakov, Plamen; Mityagin, Boris |
|
2003
|
The asymptotics of spectral gaps of a 1D Dirac operator with cosine potential. Zbl 1046.34096
Djakov, Plamen; Mityagin, Boris |
|
2003
|
Smoothness of Schrödinger operator potential in the case of Gevrey type asymptotics of the gaps. Zbl 1037.34080
Djakov, Plamen; Mityagin, Boris |
|
2002
|
Smoothness of solutions of a nonlinear ODE. Zbl 1029.34004
Djakov, Plamen; Mityagin, Boris |
|
2002
|
Smoothness of solutions of nonlinear ODE. Zbl 1020.34083
Djakov, Plamen; Mityagin, Boris |
|
2002
|
Bounded and unbounded operators between Köthe spaces. Zbl 1037.46004
Djakov, P. B.; Ramanujan, M. S. |
|
2002
|
Generalization of a theorem of Bohr for bases in spaces of holomorphic functions of several complex variables. Zbl 0988.32005
Aizenberg, Lev; Aytuna, Aydin; Djakov, Plamen |
|
2001
|
A remark on Bohr’s theorem and its generalizations. Zbl 0969.30001
Djakov, P. B.; Ramanujan, M. S. |
|
2000
|
An abstract approach to Bohr’s phenomenon. Zbl 0958.46015
Aizenberg, L.; Aytuna, A.; Djakov, P. |
|
2000
|
Multipliers between Orlicz sequence spaces. Zbl 0977.46008
Djakov, P. B.; Ramanujan, M. S. |
|
2000
|
Compound invariants and embeddings of Cartesian products. Zbl 0951.46006
Chalov, P. A.; Djakov, P. B.; Zahariuta, V. P. |
|
1999
|
Bounded operators and isomorphisms of Cartesian products of Fréchet spaces. Zbl 0973.46004
Djakov, P.; Terzioğlu, T.; Yurdakul, M.; Zahariuta, V. |
|
1998
|
Strictly singular operators and isomorphisms of Cartesian products of power series spaces. Zbl 0919.46003
Diakov, P. B.; Önal, S.; Terzioǧlu, T.; Yurdakul, M. |
|
1998
|
Isomorphic classification of Cartesian products of power series spaces. Zbl 0890.46008
Djakov, P. B.; Yurdakul, M.; Zahariuta, V. P. |
|
1996
|
On Cartesian products of locally convex spaces. Zbl 0888.46001
Chalov, A. P.; Djakov, P. B.; Terzioğlu, T.; Zahariuta, V. P. |
|
1995
|
Some open problems in the theory of locally convex spaces. Zbl 0859.46002
Aytuna, A.; Djakov, P. B.; Goncharov, A. P.; Terzioğlu, T.; Zahariuta, V. P. |
|
1994
|
A criterium for the existence of bases in nuclear Fréchet spaces. Zbl 0853.46004
Djakov, Plamen B. |
|
1993
|
Complemented block subspaces of Köthe spaces. Zbl 0678.46004
Dyakov, Plamen B.; Dubinsky, Ed |
|
1988
|
The structure of polynomial ideals in the algebra of entire functions. Zbl 0434.46034
Djakov, P. B.; Mitiagin, B. S. |
|
1980
|
Modified construction of nuclear Frechet spaces without basis. Zbl 0339.46004
Djakov, Plamen; Mitiagin, Boris |
|
1976
|
A short proof of the theorem of Crone and Robinson on quasiequivalence of regular bases. Zbl 0317.46007
Djakov, Plamen B. |
|
1975
|