Browsing by Author "Mantoiu, Marius"

Now showing items 1-14 of 14

    • Coherent states in the presence of a variable magnetic field 
      Mantoiu, Marius; Purice, Radu; Richard, Serge (WORLD SCIENTIFIC PUBL CO PTE LTD, 2011-02)
      We introduce magnetic coherent states for a particle in a variable magnetic field. They provide a pure state quantization of the phase space R(2N) endowed with a magnetic symplectic form.
    • Coorbit spaces of symbols for square integrable families of operators 
      Mantoiu, Marius (Editura Acad. Romani, 2016)
      The aim of this article is to provide a unified construction of coorbit spaces of symbols for the calculus associated to a square-integrable family of bounded Hilbert space operators, going far beyond the group theoretic ...
    • Equivariant families of pseudodifferential operators coming from deformation quantization and covariant ... 
      Belmonte Aguilar, Fabian Eduardo (Universidad de Chile, 2011)
      El propósito de esta tesis es el estudio y desarrollo de dos nuevos tipos de teorías pseudodiferenciales basadas en el cálculo de Weyl, y también el estudio de ciertas técnicas C* -algebraicas relacionadas con estás.
    • Essential spectrum and fredholm properties for perators on locally compact groups 
      Mantoiu, Marius (Theta Foundation, 2017)
      We study the essential spectrum and Fredholm properties of certain integral and pseudo-differential operators associated to non-commutative locally compact groups G. The techniques involve crossed product C*-algebras. We ...
    • Estimating the number of negative eigenvalues of a relativistic Hamiltonian with regular magnetic field 
      Iftimie, Viorel; Mantoiu, Marius; Purice, Radu (Institute of Mathematics ``Simion Stoilow'' of the Romanian Academy, 2008-01-02)
      We prove the analog of the Cwickel-Lieb-Rosenblum estimation for the number of negative eigenvalues of a relativistic Hamiltonian with magnetic field B 2 C1 pol(Rd) and an electric potential V 2 L1 loc(Rd), V− 2 ...
    • Magnetic Pseudodifferential Operators with Cofficients in C-Algebras 
      Lein, Max; Mantoiu, Marius; Richard, Serge (KYOTO UNIV, RESEARCH INST MATHEMATICAL SCIENCES, 2009-04-24)
      In previous articles, a magnetic pseudodifferential calculus and a family of C-algebras associated with twisted dynamical systems were introduced and the connections between them have been established. We extend this ...
    • The multiplicative anomaly of three or more commuting elliptic operators 
      Castillo Gárate, Víctor; Friedman Rafael, Eduardo; Mantoiu, Marius (INT PRESS BOSTON, 2015)
      zeta-regularized determinants are well-known to fail to be multiplicative, so that in general det(zeta)(AB) not equal det(zeta)(A) det(zeta)(B). Hence one is lead to study the n-fold multiplicative anomaly M-n(A(1),..., ...
    • On the continuity of spectra for families of magnetic pseudodifferential operators 
      Athmouni, Nassim; Mantoiu, Marius; Purice, Radu (AMER INST PHYSICS, CIRCULATION & FULFILLMENT DIV, 2010-08)
      For families of magnetic pseudodifferential operators defined by symbols and magnetic fields depending continuously on a real parameter epsilon, we show that the corresponding family of spectra also varies continuously ...
    • On Wigner transforms in infinite dimensions 
      Beltita, Ingrid; Beltita, Daniel; Mantoiu, Marius (AMER INST PHYSICS, 2016)
      We investigate the Schrodinger representations of certain infinite-dimensional Heisenberg groups, using their corresponding Wigner transforms.
    • Partial symmetries on topological dynamics and spectral theory 
      Flores Llarena, Felipe Ignacio (Universidad de Chile, 2022)
      The main focus of this thesis is the study of dynamical systems governed by partially defined transformations. Two distinct cases are studied: continuous groupoid actions on topological spaces and continuous partial group ...
    • Pseudo-differential operators on general type I locally compact groups 
      Sandoval R., Maximiliano (Universidad de Chile, 2017)
      in a recet paper by M. Manteoiu and M. Ruzhansky a global pseudo-diffential calculus has been debeloped for unimodular groups of type I. In the present thesis we generalize the main results to ararbitrary locally compact ...
    • Spectral theory of the thermal Hamiltonian 
      Lenz Burnier, Vicente (Universidad de Chile, 2020-07)
      Se estudiar´a el operador HT , llamado el Hamiltoniano Termal, originalmente propuesto por Luttinger para estudiar el efecto de un gradiente t´ermico en la materia. Primero le daremos definiciones rigurosas al inicialmente ...
    • Symmetry and Inverse Closedness for Some Banach ∗-Algebras Associated to Discrete Groups 
      Mantoiu, Marius (Tusi Mathematical Research Group, 2015)
      A discrete group G is called rigidly symmetric if for every C*-algebra A the projective tensor product l(1)(G)(circle times) over capA is a symmetric Banach *-algebra. For such a group we show that the twisted crossed ...
    • THE MODULATION MAPPING FOR MAGNETIC SYMBOLS AND OPERATORS 
      Mantoiu, Marius; Purice, Radu (AMER MATHEMATICAL SOC, 2010-04-02)
      We extend the Bargmann transform to the magnetic pseudodifferential calculus, using gauge-covariant families of coherent states. We also introduce modulation mappings, a first step towards adapting modulation spaces to ...