The continuous wavelet transform on ultradistribution spaces

Abhishek Singh, Anshu Mala Colloquium Mathematicum MSC: Primary 42C15, 42C40, 44A15; Secondary 46F12. DOI: 10.4064/cm7389-8-2018 Published online: 12 April 2019


The wavelet transform of ultradistributions in $\mathscr {Z}_{\omega }^{\prime }$ is defined. The corresponding inversion formula is established by interpreting convergence in the weak distributional sense.


  • Abhishek SinghDepartment of Mathematics and Statistics
    Banasthali Vidhyapith
    Banasthali-304022, India
  • Anshu MalaDepartment of Mathematics, AIAS
    Amity University Uttar Pradesh, India

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