Unified treatment of the Krätzel transformation for generalized functions

• المؤلفون الرئيسيون: Al-Omari, Shrideh Khalaf Qasem, Kilicman, Adem
• التنسيق: مقال
• اللغة: English
• منشور في: Hindawi Publishing Corporation 2013
• الوصول للمادة أونلاين: http://psasir.upm.edu.my/id/eprint/30130/1/30130.pdf; http://psasir.upm.edu.my/id/eprint/30130/; https://www.hindawi.com/journals/aaa/2013/750524/abs/

We discuss a generalization of the Krätzel transforms on certain spaces of ultradistributions. We have proved that the Krätzel transform of an ultradifferentiable function is an ultradifferentiable function and satisfies its Parseval's inequality. We also provide a complete reading of the trans...