Mapping properties for the Bargmann transform on modulation spaces

6533b834fe1ef96bd129ce16

RESEARCH PRODUCT

Mapping properties for the Bargmann transform on modulation spaces

subject

Mathematics::Functional Analysis Pure mathematics Modulation space Functional analysis Mathematics - Complex Variables bijectivity properties Applied Mathematics Spectrum (functional analysis)Banach space Operator theory Computer Science::Digital Libraries VDP::Mathematics and natural science: 400::Mathematics: 410 Algebra harmonic oscillator hermite functions Berezin–Toeplitz operators FOS: Mathematics Interpolation space Birnbaum–Orlicz space Complex Variables (math.CV)Lp space Analysis Mathematics

description

We investigate mapping properties for the Bargmann transform and prove that this transform is isometric and bijective from modulation spaces to convenient Banach spaces of analytic functions.

year	journal	country	edition	language
2010-02-16	Journal of Pseudo-Differential Operators and Applications

https://doi.org/10.1007/s11868-011-0039-0

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