NDLI: Boundedness of Pseudo-Differential Operator Associated with Fractional Fourier Transform

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Boundedness of Pseudo-Differential Operator Associated with Fractional Fourier Transform

Content Provider	Springer Nature Link
Author	Kumar, Manish Prasad, Akhilesh
Copyright Year	2014
Abstract	Pseudo-differential operator $$A_{a}^{\alpha }$$ associated with fractional Fourier transform involving the symbol $$a(x,\xi )$$ is defined. An integral representation of pseudo-differential operator $$A_{a}^{\alpha }$$ and boundedness of the composition of operators $$\Delta _{x}^{r}$$ and $$A_{a}^{\alpha }$$ are obtained. An integral operator $$A_{a,\alpha }$$ is defined and its boundedness property is studied.
Starting Page	549
Ending Page	554
Page Count	6
File Format	PDF
ISSN	03698203
Journal	Proceedings of the National Academy of Sciences, India Section A: Physical Sciences
Volume Number	84
Issue Number	4
e-ISSN	22501762
Language	English
Publisher	Springer India
Publisher Date	2014-10-07
Publisher Place	India
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Applied and Technical Physics Pseudo-differential operator Sobolev space Integral transforms in distribution spaces Fractional Fourier transform Fourier transform Atomic, Molecular, Optical and Plasma Physics Quantum Physics Physics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Biochemistry, Genetics and Molecular Biology

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