Compactness of Pseudo-Differential Type Operators Involving Fractional Fourier Transform

Abhisekh Shekhar; Apurva Kumari

doi:10.9734/arjom/2025/v21i9988

August 27, 2025Asian Research Journal of MathematicsOpen Access

Compactness of Pseudo-Differential Type Operators Involving Fractional Fourier Transform

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Key Points

The study finds conditions for compactness in pseudo-differential type operators, enhancing theoretical understanding.
Key results reveal how norms of these operators relate significantly to compact operators in the analysis.
Utilizing the fractional fourier transform, the findings contribute to the existing body of knowledge regarding operator theory.
Implications point to the need for further exploration of compact properties in related mathematical frameworks.

Implication

Analysis reveals compactness conditions for pseudo-differential operators, indicating their norms impact operator behavior.

Abstract

Some results on compactness for pseudo-differential type operators A(x,Δ′) and A(x,Δ′) are investigated. Norms of pseudo-differential type operators modulo compact operators are discussed.

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Cite This Study

Shekhar et al. (2025) studied this question.

synapsesocial.com/papers/68c1d5fe54b1d3bfb60f9218 https://doi.org/10.9734/arjom/2025/v21i9988

View Full Paper

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Compactness of Pseudo-Differential Type Operators Involving Fractional Fourier Transform

Key Points

Implication

Abstract

Discussion

Cite This Study

Compactness of Pseudo-Differential Type Operators Involving Fractional Fourier Transform

Key Points

Implication

Abstract

Discussion

Cite This Study

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