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2009, Volume 5  


Three-Hilbert-Space Formulation of Quantum Mechanics
Miloslav Znojil
001
Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System
Aristophanes Dimakis, Folkert Müller-Hoissen
002
Quiver Varieties and Branching
Hiraku Nakajima
003
Remarks on Multi-Dimensional Conformal Mechanics
Cestmír Burdík, Armen Nersessian
004
Generalized Nonanalytic Expansions, $\mathcal{PT}$-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillators
Ulrich D. Jentschura, Andrey Surzhykov, Jean Zinn-Justin
005
Heisenberg-Type Families in $U_q(\widehat{sl_2})$
Alexander Zuevsky
006
On the Spectrum of a Discrete Non-Hermitian Quantum System
Ebru Ergun
007
Structure Theory for Second Order 2D Superintegrable Systems with 1-Parameter Potentials
Ernest G. Kalnins, Jonathan M. Kress, Willard Miller Jr., Sarah Post
008
Self-Consistent-Field Method and $\tau$-Functional Method on Group Manifold in Soliton Theory: a Review and New Results
Seiya Nishiyama, João da Providência, Constança Providência, Flávio Cordeiro, Takao Komatsu
009
The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials
Saburo Kakei, Michitomo Nishizawa, Yoshihisa Saito, Yoshihiro Takeyama
010
On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems
Maxim V. Pavlov, Ziemowit Popowicz
011
Hecke–Clifford Algebras and Spin Hecke Algebras IV: Odd Double Affine Type
Ta Khongsap, Weiqiang Wang
012
Derivations of the Moyal Algebra and Noncommutative Gauge Theories
Jean-Christophe Wallet
013
Simple Finite Jordan Pseudoalgebras
Pavel Kolesnikov
014
The Group of Quasisymmetric Homeomorphisms of the Circle and Quantization of the Universal Teichmüller Space
Armen G. Sergeev
015
Imaginary Powers of the Dunkl Harmonic Oscillator
Adam Nowak, Krzysztof Stempak
016
Comments on the Dynamics of the Pais–Uhlenbeck Oscillator
Andrei V. Smilga
017
Inverse Spectral Problems for Tridiagonal $N$ by $N$ Complex Hamiltonians
Gusein Sh. Guseinov
018
Besov-Type Spaces on $\mathbb R^d $ and Integrability for the Dunkl Transform
Chokri Abdelkefi, Jean-Philippe Anker, Feriel Sassi, Mohamed Sifi
019
Discrete Cocompact Subgroups of the Five-Dimensional Connected and Simply Connected Nilpotent Lie Groups
Amira Ghorbel, Hatem Hamrouni
020
Toeplitz Quantization and Asymptotic Expansions: Geometric Construction
Miroslav Englis, Harald Upmeier
021
Conformal Killing–Yano Tensors on Manifolds with Mixed 3-Structures
Stere Ianus, Mihai Visinescu, Gabriel Eduard Vîlcu
022
Nonlinear Dirac Equations
Wei Khim Ng, Rajesh R. Parwani
023
Bäcklund Transformations for First and Second Painlevé Hierarchies
Ayman Hashem Sakka
024
Inversion Formulas for the Spherical Radon–Dunkl Transform
Zhongkai Li, Futao Song
025
Induced Modules for Affine Lie Algebras
Vyacheslav Futorny, Iryna Kashuba
026
$q$-Wakimoto Modules and Integral Formulae of Solutions of the Quantum Knizhnik–Zamolodchikov Equations
Kazunori Kuroki
027
Hochschild Cohomology and Deformations of Clifford–Weyl Algebras
Ian M. Musson, Georges Pinczon, Rosane Ushirobira
028
Limits of Gaudin Systems: Classical and Quantum Cases
Alexander Chervov, Gregorio Falqui, Leonid Rybnikov
029
Nonlocal Operational Calculi for Dunkl Operators
Ivan H. Dimovski, Valentin Z. Hristov
030
Differential and Functional Identities for the Elliptic Trilogarithm
Ian A. B. Strachan
031
Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials
Helene Airault
032
Elliptic Hypergeometric Laurent Biorthogonal Polynomials with a Dense Point Spectrum on the Unit Circle
Satoshi Tsujimoto, Alexei Zhedanov
033
Homological Algebra and Divergent Series
Vassily Gorbounov, Vadim Schechtman
034
Hypergeometric $\tau$-Functions of the $q$-Painlevé System of Type $E_7^{(1)}$
Tetsu Masuda
035
Three Natural Generalizations of Fedosov Quantization
Klaus Bering
036
Hilbert Transforms Associated with Dunkl–Hermite Polynomials
Néjib Ben Salem, Taha Samaali
037
Elliptic Hypergeometric Solutions to Elliptic Difference Equations
Alphonse P. Magnus
038
Intertwining Symmetry Algebras of Quantum Superintegrable Systems
Juan A. Calzada, Javier Negro, Mariano A. del Olmo
039
Middle Convolution and Heun's Equation
Kouichi Takemura
040
A First Order $q$-Difference System for the $BC_1$-Type Jackson Integral and Its Applications
Masahiko Ito
041
A Lax Formalism for the Elliptic Difference Painlevé Equation
Yasuhiko Yamada
042
The Analytic Continuation of the Lippmann–Schwinger Eigenfunctions, and Antiunitary Symmetries
Rafael de la Madrid
043
Quantum Symmetries for Exceptional $\mathrm{SU}(4)$ Modular Invariants Associated with Conformal Embeddings
Robert Coquereaux, Gil Schieber
044
The Explicit Construction of Einstein Finsler Metrics with Non-Constant Flag Curvature
Enli Guo, Xiaohuan Mo, Xianqiang Zhang
045
Point Canonical Transformation versus Deformed Shape Invariance for Position-Dependent Mass Schrödinger Equations
Christiane Quesne
046
$\mathcal{PT}$ Symmetry and QCD: Finite Temperature and Density
Michael C. Ogilvie, Peter N. Meisinger
047
Singularities of Affine Schubert Varieties
Jochen Kuttler, Venkatramani Lakshmibai
048
Hilbert–Schmidt Operators vs. Integrable Systems of Elliptic Calogero–Moser Type. III. The Heun Case
Simon N. M. Ruijsenaars
049
Partial Sums of Two Quartic $q$-Series
Wenchang Chu, Chenying Wang
050
Algebraic Topology Foundations of Supersymmetry and Symmetry Breaking in Quantum Field Theory and Quantum Gravity: A Review
Ion C. Baianu, James F. Glazebrook, Ronald Brown
051
Determinantal Representation of the Time-Dependent Stationary Correlation Function for the Totally Asymmetric Simple Exclusion Model
Nikolay M. Bogolyubov
052
An Alternative Canonical Approach to the Ghost Problem in a Complexified Extension of the Pais–Uhlenbeck Oscillator
A. Déctor, H. A. Morales-Técotl, L. F. Urrutia, J. D. Vergara
053
Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications
Yasushi Komori, Masatoshi Noumi, Jun'ichi Shiraishi
054
Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture
Robin Langer, Michael J. Schlosser, S. Ole Warnaar
055
Quantum Probability, Renormalization and Infinite-Dimensional $*$-Lie Algebras
Luigi Accardi, Andreas Boukas
056
Dunkl Operators and Canonical Invariants of Reflection Groups
Arkady Berenstein, Yurii Burman
057
Extension Phenomena for Holomorphic Geometric Structures
Benjamin McKay
058
Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions
Fokko J. van de Bult, Eric M. Rains
059
Classification of Finite Dimensional Modular Lie Superalgebras with Indecomposable Cartan Matrix
Sofiane Bouarroudj, Pavel Grozman, Dimitry Leites
060
Cartan Connections and Lie Algebroids
Michael Crampin
061
On the Moore Formula of Compact Nilmanifolds
H. Hamrouni
062
Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields
Roberto Ferreiro Pérez, Jaime Muñoz Masqué
063
Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics
Alexander A. Andrianov, Andrey V. Sokolov
064
Monopoles and Modifications of Bundles over Elliptic Curves
Andrey M. Levin, Mikhail A. Olshanetsky, Andrei V. Zotov
065
Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds
Graham S. Hall, David P. Lonie
066
Symplectic Applicability of Lagrangian Surfaces
Emilio Musso, Lorenzo Nicolodi
067
Boundaries of Graphs of Harmonic Functions
D. Fox
068
Non-Hermitian Quantum Systems and Time-Optimal Quantum Evolution
Alexander I. Nesterov
069
On Brane Solutions Related to Non-Singular Kac–Moody Algebras
Vladimir D. Ivashchuk, Vitaly N. Melnikov
070
Inversion of the Dual Dunkl–Sonine Transform on $\mathbb R$ Using Dunkl Wavelets
Mohamed Ali Mourou
071
Clifford Fibrations and Possible Kinematics
Alan S. McRae
072
On Linear Differential Equations Involving a Para-Grassmann Variable
Toufik Mansour, Matthias Schork
073
Deformation Quantization of Poisson Structures Associated to Lie Algebroids
Nikolai Neumaier, Stefan Waldmann
074
Image Sampling with Quasicrystals
Mark Grundland, Jirí Patera, Zuzana Masáková, Neil A. Dodgson
075
The Symmetrical $H_q$-Semiclassical Orthogonal Polynomials of Class One
Abdallah Ghressi, Lotfi Khériji
076
On the Structure of Lie Pseudo-Groups
Peter J. Olver, Juha Pohjanpelto, Francis Valiquette
077
On Spinor Varieties and Their Secants
Laurent Manivel
078
About Twistor Spinors with Zero in Lorentzian Geometry
Felipe Leitner
079
Symmetric Space Cartan Connections and Gravity in Three and Four Dimensions
Derek K. Wise
080
Conformal Structures Associated to Generic Rank 2 Distributions on 5-Manifolds – Characterization and Killing-Field Decomposition
Matthias Hammerl, Katja Sagerschnig
081
Higher Order Connections
Michael G. Eastwood
082
Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty
T. K. Jana, P. Roy
083
Solvable Rational Potentials and Exceptional Orthogonal Polynomials in Supersymmetric Quantum Mechanics
Christiane Quesne
084
Cryptohermitian Picture of Scattering Using Quasilocal Metric Operators
Miloslav Znojil
085
Natural Intrinsic Geometrical Symmetries
Stefan Haesen, Leopold Verstraelen
086
Variations of Hodge Structure Considered as an Exterior Differential System: Old and New Results
Mark Green, James Carlson, Phillip Griffiths
087
Trigonometric Solutions of WDVV Equations and Generalized Calogero–Moser–Sutherland Systems
Misha V. Feigin
088
Comment on “Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty”
Bijan Bagchi, Andreas Fring
089
Axiomatic Quantum Field Theory in Terms of Operator Product Expansions: General Framework, and Perturbation Theory via Hochschild Cohomology
Stefan Hollands
090
A Method for Weight Multiplicity Computation Based on Berezin Quantization
David Bar-Moshe
091
Existence and Construction of Vessiot Connections
Dirk Fesser, Werner M. Seiler
092
Compact Riemannian Manifolds with Homogeneous Geodesics
Dmitrii V. Alekseevskii, Yurii G. Nikonorov
093
On Tanaka's Prolongation Procedure for Filtered Structures of Constant Type
Igor Zelenko
094
Geometry of Control-Affine Systems
Jeanne N. Clelland, Christopher G. Moseley, George R. Wilkens
095
Factor-Group-Generated Polar Spaces and (Multi-)Qudits
Hans Havlicek, Boris Odehnal, Metod Saniga
096
Indefinite Affine Hyperspheres Admitting a Pointwise Symmetry. Part 2
Christine Scharlach
097
Contact Geometry of Curves
Peter J. Vassiliou
098
Geometric Structures on Spaces of Weighted Submanifolds
Brian Lee
099
Multisymplectic Lagrangian and Hamiltonian Formalisms of Classical Field Theories
Narciso Román-Roy
100
On a Whitham-Type Equation
Sergei Sakovich
101
Singularity Classes of Special 2-Flags
Piotr Mormul
102
Isomorphism of Intransitive Linear Lie Equations
Jose Miguel Martins Veloso
103
Bethe Ansatz Solutions to Quasi Exactly Solvable Difference Equations
Ryu Sasaki, Wen-Li Yang, Yao-Zhong Zhang
104
Noncommutative Root Space Witt, Ricci Flow, and Poisson Bracket Continual Lie Algebras
Alexander Zuevsky
105
Wigner Quantization of Hamiltonians Describing Harmonic Oscillators Coupled by a General Interaction Matrix
Gilles Regniers, Joris Van der Jeugt
106
On Projective Equivalence of Univariate Polynomial Subspaces
Peter Crooks, Robert Milson
107
T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac–Moody Algebras
Atsuo Kuniba, Tomoki Nakanishi, Junji Suzuki
108
Auxiliary Linear Problem, Difference Fay Identities and Dispersionless Limit of Pfaff–Toda Hierarchy
Kanehisa Takasaki
109
Manin Matrices, Quantum Elliptic Commutative Families and Characteristic Polynomial of Elliptic Gaudin Model
Vladimir Rubtsov, Alexey Silantyev, Dmitri Talalaev
110
Second-Order Conformally Equivariant Quantization in Dimension $1|2$
Najla Mellouli
111
Symmetry, Integrability and Geometry: Methods and Applications
 
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