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In the current study, we identified the special wavelet transform given by Moritoh in ultradistributional spaces and using this special wavelet transform we defined and characterized wave front sets for ultradistributions. These wave front set are equal to Hörmander’s wave front set in the cases \( n = 1, 2, 4, 8 \) . We also discuss some examples and identify wave front set corresponding to it.

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Characterization of Wave Front Sets Associated with Ultradistributional Spaces by Special Orbital Wavelet Transform

  • 会议论文

  • 发表日期：

    2025年

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  • Ashish Pathak,
  • Shrish Pandey

摘要

In the current study, we identified the special wavelet transform given by Moritoh in ultradistributional spaces and using this special wavelet transform we defined and characterized wave front sets for ultradistributions. These wave front set are equal to Hörmander’s wave front set in the cases \( n = 1, 2, 4, 8 \) . We also discuss some examples and identify wave front set corresponding to it.