Spaces of type \(S\) as topological algebras under twisted convolution and star product
From MaRDI portal
Publication:2302987
DOI10.1134/S0081543819050195zbMath1433.81105OpenAlexW2998369798WikidataQ126426636 ScholiaQ126426636MaRDI QIDQ2302987
Publication date: 26 February 2020
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0081543819050195
Convolution as an integral transform (44A35) Growth rate, Gelfand-Kirillov dimension (16P90) Spinor and twistor methods applied to problems in quantum theory (81R25) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55)
Related Items (3)
Spaces of type \(S\) and deformation quantization ⋮ Characterization of the Moyal multiplier algebras for the generalized spaces of type \(S\) ⋮ Inclusion theorems for the Moyal multiplier algebras of generalized Gelfand-Shilov spaces
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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Twisted convolution and Moyal star product of generalized functions
- Generalized Weyl correspondence and Moyal multiplier algebras
- Test functions space in noncommutative quantum field theory
- Anti-Wick and Weyl quantization on ultradistribution spaces
- Moyal planes are spectral triples
- Phase space quantum mechanics
- Coarse-scale representations and smoothed Wigner transforms
- Axiomatic formulations of nonlocal and noncommutative field theories
- Hyperfunction quantum field theory
- Hyperfunction quantum field theory II. Euclidean Green's functions
- Causality, localizability, and holomorphically convex hulls
- The classical limit in Weyl quantization
- Weyl transforms
- An extension of distribution theory and of the Paley-Wiener-Schwartz theorem related to quantum gauge theory
- General properties of non-commutative field theories
- Die Eindeutigkeit der Schrödingerschen Operatoren
- String theory and noncommutative geometry
- On the twisted convolution product and the Weyl transformation of tempered distributions
- The quantum structure of spacetime of the Planck scale and quantum fields
- Images of function and distribution spaces under the Bargmann transform
- Pseudodifferential operators of infinite order in spaces of tempered ultradistributions
- On the Fourier-Laplace transformation of generalized functions
- Star products on symplectic vector spaces: convergence, representations, and extensions
- Convergence of the Wick star product
- Star product algebras of test functions
- Symplectic geometry and quantum mechanics
- Projective and injective limits of weakly compact sequences of locally convex spaces
- Pseudo-differential operators in a Gelfand-Shilov setting
- Sur un problème de Gelfand et Šilov
- Quantum field theory with a fundamental length: A general mathematical framework
- On topological tensor products of functional Fréchet and DF spaces
- Algebras of distributions suitable for phase-space quantum mechanics. I
- Algebras of distributions suitable for phase-space quantum mechanics. II. Topologies on the Moyal algebra
- COMPACT FAMILIES OF LOCALLY CONVEX TOPOLOGICAL VECTOR SPACES, FRÉCHET-SCHWARTZ AND DUAL FRÉCHET-SCHWARTZ SPACES
- Harmonic Analysis in Phase Space. (AM-122)
- Relativistic quantum field theory with a fundamental length
- Reconstruction in quantum field theory with a fundamental length
- Moyal multiplier algebras of the test function spaces of type S
- Algebras with convergent star products and their representations in Hilbert spaces
- Noncommutativity and θ-locality
- Produits tensoriels topologiques et espaces nucléaires
This page was built for publication: Spaces of type \(S\) as topological algebras under twisted convolution and star product