Radial symmetric elements and the Bargmann transform

DOI10.1080/10652469.2014.915320zbMath1323.35154arXiv1403.4474OpenAlexW1976988055MaRDI QIDQ5168453

Luigi Rodino, Joachim Toft, Marco Cappiello

Publication date: 4 July 2014

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.4474

zbMATH Keywords

ultradistributionsBargmann transformradial symmetricGelfand-Shilov estimates

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) PDEs in connection with quantum mechanics (35Q40) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Generalized function theory (30Gxx)

Related Items (3)

Eigenvalue Problems of Toeplitz Operators in Bargmann–Fock Spaces ⋮ Images of function and distribution spaces under the Bargmann transform ⋮ Microlocal analysis of quasianalytic Gelfand-Shilov type ultradistributions

Cites Work

• The Bargmann transform on modulation and Gelfand-Shilov spaces, with applications to Toeplitz and pseudo-differential operators
• Spaces of test functions via the STFT
• On a Hilbert space of analytic functions and an associated integral transform part I
• Generalization of Zemanian Spaces of Generalized Functions which Have Orthonormal Series Expansions
• Characterizations of the Gelfand-Shilov spaces via Fourier transforms
• On a Hilbert Space of Analytie Functions and an Associated Integral Transform. Part II. A Family of Related Function Spaces Application to Distribution Theory

This page was built for publication: Radial symmetric elements and the Bargmann transform