Unbounded operators and the uncertainty principle

التفاصيل البيبلوغرافية
العنوان: Unbounded operators and the uncertainty principle
المؤلفون: Haslinger, Friedrich
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Complex Variables, Primary 30H20, 32A36, Secondary 81S05
الوصف: We study a variant of the uncertainty principle in terms of the annihilation and creation operator on generalized Segal Bargmann spaces, which are used for the FBI-Bargmann transform. In addition, we compute the Berezin transform of these operators and indicate how to use spaces of entire functions in one variable to study the Szeg\H{o} kernel for hypersurfaces in $\mathbb C^2.$
Comment: 8 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2407.15803
رقم الأكسشن: edsarx.2407.15803
قاعدة البيانات: arXiv