Prasad, Akhilesh; Kumar, Amit Canonical potential and \(L^p\)-Sobolev space involving linear canonical Fourier transform. (English) Zbl 1523.43004 Integral Transforms Spec. Funct. 34, No. 4, 295-315 (2023). MSC: 43A32 46F05 35S05 46E35 44A35 PDFBibTeX XMLCite \textit{A. Prasad} and \textit{A. Kumar}, Integral Transforms Spec. Funct. 34, No. 4, 295--315 (2023; Zbl 1523.43004) Full Text: DOI
Prasad, Akhilesh; Sharma, P. B. Pseudo-differential operator associated with quadratic-phase Fourier transform. (English) Zbl 1501.46040 Bol. Soc. Mat. Mex., III. Ser. 28, No. 2, Paper No. 37, 14 p. (2022). MSC: 46F12 43A32 35S05 47G30 46E35 44A35 47F05 PDFBibTeX XMLCite \textit{A. Prasad} and \textit{P. B. Sharma}, Bol. Soc. Mat. Mex., III. Ser. 28, No. 2, Paper No. 37, 14 p. (2022; Zbl 1501.46040) Full Text: DOI
Prasad, Akhilesh; Ansari, Z. A.; Jain, Pankaj Pseudo-differential operator in the framework of linear canonical transform domain. (English) Zbl 1487.46040 Asian-Eur. J. Math. 14, No. 7, Article ID 2150117, 18 p. (2021). MSC: 46F12 43A32 46F05 47G30 35S05 53D22 46E35 PDFBibTeX XMLCite \textit{A. Prasad} et al., Asian-Eur. J. Math. 14, No. 7, Article ID 2150117, 18 p. (2021; Zbl 1487.46040) Full Text: DOI
Prasad, Akhilesh; Ansari, Z. A. The composition of linear canonical wavelet transforms on generalized function spaces. (English) Zbl 1499.46070 Filomat 34, No. 12, 4123-4136 (2020). MSC: 46E35 42C40 43A32 PDFBibTeX XMLCite \textit{A. Prasad} and \textit{Z. A. Ansari}, Filomat 34, No. 12, 4123--4136 (2020; Zbl 1499.46070) Full Text: DOI
Prasad, Akhilesh; Sharma, P. B. The quadratic-phase Fourier wavelet transform. (English) Zbl 1439.43007 Math. Methods Appl. Sci. 43, No. 4, 1953-1969 (2020). MSC: 43A32 46F12 42C40 42A85 46E35 PDFBibTeX XMLCite \textit{A. Prasad} and \textit{P. B. Sharma}, Math. Methods Appl. Sci. 43, No. 4, 1953--1969 (2020; Zbl 1439.43007) Full Text: DOI
Prasad, Akhilesh; Ansari, Z. A. Approximation of linear canonical wavelet transform on the generalized Sobolev spaces. (English) Zbl 1430.43003 J. Pseudo-Differ. Oper. Appl. 10, No. 4, 855-881 (2019). Reviewer: Françoise Bastin (Liège) MSC: 43A32 42C40 46E35 46F12 PDFBibTeX XMLCite \textit{A. Prasad} and \textit{Z. A. Ansari}, J. Pseudo-Differ. Oper. Appl. 10, No. 4, 855--881 (2019; Zbl 1430.43003) Full Text: DOI
Prasad, Akhilesh; Mandal, U. K.; Verma, S. K. Zero-order Mehler-Fock transform and Sobolev-type space. (English) Zbl 1430.44002 Math. Inequal. Appl. 22, No. 2, 761-775 (2019). MSC: 44A20 44A15 46E35 35S05 PDFBibTeX XMLCite \textit{A. Prasad} et al., Math. Inequal. Appl. 22, No. 2, 761--775 (2019; Zbl 1430.44002) Full Text: DOI
Prasad, Akhilesh; Mandal, U. K. The Kontorovich-Lebedev transform and Sobolev type space. (English) Zbl 1390.44012 Complex Anal. Oper. Theory 12, No. 3, 669-681 (2018). MSC: 44A20 35S05 46F12 46E35 PDFBibTeX XMLCite \textit{A. Prasad} and \textit{U. K. Mandal}, Complex Anal. Oper. Theory 12, No. 3, 669--681 (2018; Zbl 1390.44012) Full Text: DOI
Prasad, Akhilesh; Mahato, Kanailal On the Sobolev boundedness results of the product of pseudo-differential operators involving a couple of fractional Hankel transforms. (English) Zbl 1387.35643 Acta Math. Sin., Engl. Ser. 34, No. 2, 221-232 (2018). MSC: 35S05 46E35 47G30 PDFBibTeX XMLCite \textit{A. Prasad} and \textit{K. Mahato}, Acta Math. Sin., Engl. Ser. 34, No. 2, 221--232 (2018; Zbl 1387.35643) Full Text: DOI
Prasad, Akhilesh; Maurya, P. K. A couple of fractional powers of Hankel-type integral transformations and pseudo-differential operators. (English) Zbl 1392.46040 S\(\vec{\text{e}}\)MA J. 74, No. 2, 181-211 (2017). MSC: 46F12 46F05 47G30 35S05 46E35 PDFBibTeX XMLCite \textit{A. Prasad} and \textit{P. K. Maurya}, S\(\vec{\text{e}}\)MA J. 74, No. 2, 181--211 (2017; Zbl 1392.46040) Full Text: DOI
Prasad, Akhilesh; Singh, Manoj Kumar Integral representations of pseudo-differential operator associated with the Jacobi differential operator. (English) Zbl 1398.35307 Rend. Circ. Mat. Palermo (2) 66, No. 3, 325-336 (2017). MSC: 35S05 35C15 46F12 PDFBibTeX XMLCite \textit{A. Prasad} and \textit{M. K. Singh}, Rend. Circ. Mat. Palermo (2) 66, No. 3, 325--336 (2017; Zbl 1398.35307) Full Text: DOI
Prasad, Akhilesh; Mandal, U. K. Composition of pseudo-differential operators associated with Kontorovich-Lebedev transform. (English) Zbl 1366.44002 Integral Transforms Spec. Funct. 27, No. 11, 878-892 (2016). Reviewer: S. L. Kalla (Ballwin) MSC: 44A35 35S05 46E35 35A22 PDFBibTeX XMLCite \textit{A. Prasad} and \textit{U. K. Mandal}, Integral Transforms Spec. Funct. 27, No. 11, 878--892 (2016; Zbl 1366.44002) Full Text: DOI
Prasad, Akhilesh; Kumar, Praveen The continuous fractional wavelet transform on a generalized Sobolev space. (English) Zbl 1364.46033 Int. J. Wavelets Multiresolut. Inf. Process. 14, No. 6, Article ID 1650046, 10 p. (2016). MSC: 46E35 46F12 PDFBibTeX XMLCite \textit{A. Prasad} and \textit{P. Kumar}, Int. J. Wavelets Multiresolut. Inf. Process. 14, No. 6, Article ID 1650046, 10 p. (2016; Zbl 1364.46033) Full Text: DOI
Prasad, Akhilesh; Kumar, Praveen Composition of pseudodifferential operators associated with fractional Hankel-Clifford integral transformations. (English) Zbl 1353.47097 Appl. Anal. 95, No. 8, 1792-1807 (2016). MSC: 47G30 46F05 46F12 35S05 46E10 46E35 PDFBibTeX XMLCite \textit{A. Prasad} and \textit{P. Kumar}, Appl. Anal. 95, No. 8, 1792--1807 (2016; Zbl 1353.47097) Full Text: DOI
Prasad, Akhilesh; Kumar, Praveen Fractional continuous wavelet transform on some function spaces. (English) Zbl 1342.42011 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 86, No. 1, 57-64 (2016). MSC: 42B10 42A38 46E35 46A11 PDFBibTeX XMLCite \textit{A. Prasad} and \textit{P. Kumar}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 86, No. 1, 57--64 (2016; Zbl 1342.42011) Full Text: DOI
Prasad, Akhilesh; Kumar, Praveen Pseudo-differential operator associated with the fractional Fourier transform. (English) Zbl 1351.46038 Math. Commun. 21, No. 1, 115-126 (2016). Reviewer: Boris Rubin (Baton Rouge) MSC: 46F12 35S05 42A85 46A16 PDFBibTeX XMLCite \textit{A. Prasad} and \textit{P. Kumar}, Math. Commun. 21, No. 1, 115--126 (2016; Zbl 1351.46038) Full Text: Link
Prasad, Akhilesh; Kumar, Praveen The continuous fractional wavelet transform on generalized weighted Sobolev spaces. (English) Zbl 1347.46028 Asian-Eur. J. Math. 8, No. 3, Article ID 1550054, 11 p. (2015). MSC: 46E35 46F12 46F05 PDFBibTeX XMLCite \textit{A. Prasad} and \textit{P. Kumar}, Asian-Eur. J. Math. 8, No. 3, Article ID 1550054, 11 p. (2015; Zbl 1347.46028) Full Text: DOI
Prasad, Akhilesh; Singh, Manoj K. Pseudo-differential operators associated with the Jacobi differential operator and Fourier-cosine wavelet transform. (English) Zbl 1484.47078 Asian-Eur. J. Math. 8, No. 1, Article ID 1550010, 16 p. (2015). MSC: 47G30 42C40 PDFBibTeX XMLCite \textit{A. Prasad} and \textit{M. K. Singh}, Asian-Eur. J. Math. 8, No. 1, Article ID 1550010, 16 p. (2015; Zbl 1484.47078) Full Text: DOI
Prasad, Akhilesh; Shekhar, Abhisekh Sobolev type spaces associated with fractional Fourier transform. (English) Zbl 1329.46035 Bull. Calcutta Math. Soc. 106, No. 1, 1-12 (2014). MSC: 46E35 46F12 PDFBibTeX XMLCite \textit{A. Prasad} and \textit{A. Shekhar}, Bull. Calcutta Math. Soc. 106, No. 1, 1--12 (2014; Zbl 1329.46035)
Prasad, Akhilesh; Kumar, Manish Boundedness of pseudo-differential operator associated with fractional Fourier transform. (English) Zbl 1314.32052 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 84, No. 4, 549-554 (2014). MSC: 32W25 42B10 45P05 26A33 PDFBibTeX XMLCite \textit{A. Prasad} and \textit{M. Kumar}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 84, No. 4, 549--554 (2014; Zbl 1314.32052) Full Text: DOI
Prasad, Akhilesh; Singh, V. Boundedness of pseudo-differential operator associated with fractional Hankel transform. (English) Zbl 1312.47059 Fract. Calc. Appl. Anal. 17, No. 1, 154-170 (2014). MSC: 47G30 46F12 44A99 PDFBibTeX XMLCite \textit{A. Prasad} and \textit{V. Singh}, Fract. Calc. Appl. Anal. 17, No. 1, 154--170 (2014; Zbl 1312.47059) Full Text: DOI
Prasad, Akhilesh; Kumar, Sumant Hankel-Clifford transformations on some ultradifferentiable function spaces and pseudo-differential operators. (English) Zbl 1326.47058 J. Pseudo-Differ. Oper. Appl. 4, No. 4, 551-567 (2013). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47G30 35S05 44A15 46E35 PDFBibTeX XMLCite \textit{A. Prasad} and \textit{S. Kumar}, J. Pseudo-Differ. Oper. Appl. 4, No. 4, 551--567 (2013; Zbl 1326.47058) Full Text: DOI
Prasad, Akhilesh; Singh, V. K. On Sobolev type spaces involving Hankel-Clifford transformation. (English) Zbl 1272.46032 Investig. Math. Sci. 2, No. 1, 17-27 (2012). MSC: 46F12 47G30 PDFBibTeX XMLCite \textit{A. Prasad} and \textit{V. K. Singh}, Investig. Math. Sci. 2, No. 1, 17--27 (2012; Zbl 1272.46032)
Prasad, Akhilesh; Singh, V. K.; Dixit, M. M. Pseudo-differential operators involving Hankel-Clifford transformation. (English) Zbl 1266.46032 Asian-Eur. J. Math. 5, No. 3, Paper No. 1250040, 15 p. (2012). Reviewer: Antonio Galbis (Valencia) MSC: 46F12 47G30 PDFBibTeX XMLCite \textit{A. Prasad} et al., Asian-Eur. J. Math. 5, No. 3, Paper No. 1250040, 15 p. (2012; Zbl 1266.46032) Full Text: DOI
Prasad, Akhilesh; Mahato, Ashutosh; Dixit, M. M. The Bessel wavelet transform. (English) Zbl 1246.44003 Int. J. Math. Anal., Ruse 5, No. 1-4, 87-97 (2011). Reviewer: Dashan Fan (Milwaukee) MSC: 44A15 33C10 42C40 PDFBibTeX XMLCite \textit{A. Prasad} et al., Int. J. Math. Anal., Ruse 5, No. 1--4, 87--97 (2011; Zbl 1246.44003) Full Text: Link
Pathak, R. S.; Prasad, Akhilesh; Kumar, Manish \(n\)-dimensional Sobolev type spaces involving Hankel transformation. (English) Zbl 1234.46034 Appl. Math. Comput. 218, No. 3, 899-905 (2011). MSC: 46E35 44A15 PDFBibTeX XMLCite \textit{R. S. Pathak} et al., Appl. Math. Comput. 218, No. 3, 899--905 (2011; Zbl 1234.46034) Full Text: DOI