Groups, special functions and rigged Hilbert spaces
From MaRDI portal
Publication:2306619
DOI10.3390/axioms8030089zbMath1432.22024OpenAlexW2965625683MaRDI QIDQ2306619
Mariano A. del Olmo, Enrico Celeghini, Manuel Gadella
Publication date: 24 March 2020
Published in: Axioms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3390/axioms8030089
harmonic analysisLie algebrasspecial functionsrigged Hilbert spacesrepresentations of Lie groupsdiscrete and continuous bases
Representations of finite symmetric groups (20C30) Applications of Lie (super)algebras to physics, etc. (17B81) Applications of Lie groups to the sciences; explicit representations (22E70) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)
Related Items (3)
Groups, Jacobi functions, and rigged Hilbert spaces ⋮ Zernike functions, rigged Hilbert spaces, and potential applications ⋮ Groups, special functions and rigged Hilbert spaces
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Time asymmetric quantum mechanics
- Rigged Hilbert spaces and contractive families of Hilbert spaces
- Spherical harmonics and approximations on the unit sphere. An introduction
- Generalized spectral decomposition of the \(\beta\)-adic baker's transformation and intrinsic irreversibility
- Operators in rigged Hilbert spaces: some spectral properties
- Eigenfunction expansions and transformation theory
- Partial inner product spaces. Theory and applications
- Dirac kets, Gamov vectors and Gel'fand triplets. The rigged Hilbert space formulation of quantum mechanics. Lectures in mathematical physics at the University of Texas at Austin, USA. Ed. by A. Bohm and J. D. Dollard
- Partial inner product spaces. I: General properties
- Partial inner product spaces. II: Operators
- Dirac kets, Gamov vectors and Gel'fand triplets. The rigged Hilbert space and quantum mechanics. Lectures in mathematical physics at the University of Texas at Austin
- General properties of the Liouville operator
- On the mathematical basis of the Dirac formulation of quantum mechanics
- SU(2), associated Laguerre polynomials and rigged Hilbert spaces
- Distribution frames and bases
- The inner kernel theorem for a certain Segal algebra
- A spectral theory of linear operators on rigged Hilbert spaces under analyticity conditions
- PIP-space valued reproducing pairs of measurable functions
- Groups, special functions and rigged Hilbert spaces
- Algebraic special functions and \(\mathrm{SO}(3,2)\)
- Coherent orthogonal polynomials
- Rigged Hilbert spaces in quantum mechanics
- A rigged Hilbert space of Hardy-class functions: Applications to resonances
- Applications of rigged Hilbert spaces in quantum mechanics and signal processing
- A bound on the Laguerre polynomials
- GENERALIZED EIGENVECTORS FOR RESONANCES IN THE FRIEDRICHS MODEL AND THEIR ASSOCIATED GAMOV VECTORS
- A rigged Hilbert space for the free radiation field
- Resonances, scattering theory, and rigged Hilbert spaces
- Relativistic Gamow vectors
- Rigged Hilbert space approach to the Schrödinger equation
- A SPECTRAL THEORY OF LINEAR OPERATORS ON RIGGED HILBERT SPACES UNDER ANALYTICITY CONDITIONS II: APPLICATIONS TO SCHRÖDINGER OPERATORS
- Spherical harmonics and rigged Hilbert spaces
- Group theoretical aspects of L2(R+), L2(R2) and associated Laguerre polynomials
- Preface
- Time asymmetric quantum theory – I. Modifying an axiom of quantum physics
- Time asymmetric quantum theory – II. Relativistic resonances from S‐matrix poles
- Time asymmetric quantum theory – III. Decaying states and the causal Poincaré semigroup
- Beugungstheorie des schneidenver-fahrens und seiner verbesserten form, der phasenkontrastmethode
- Jacobi Polynomials as su(2, 2) Unitary Irreducible Representation
- Distribution Theory by Riemann Integrals
- Zernike functions, rigged Hilbert spaces, and potential applications
- Principles of Optics
- Dirac Formalism and Symmetry Problems in Quantum Mechanics. I. General Dirac Formalism
- Stationary Stochastic Processes. (MN-8)
- Resonance theory for Schrödinger operators
This page was built for publication: Groups, special functions and rigged Hilbert spaces
