Gaied, Dhouha; Dziri, Moncef The heat kernel associated with generalized Kontorovich-Lebedev transform. (English) Zbl 1547.35409 Integral Transforms Spec. Funct. 35, No. 10, 540-560 (2024). MSC: 35K08 42A38 44A20 44A35 × Cite Format Result Cite Review PDF Full Text: DOI
Gupt, Ajay K.; Prasad, Akhilesh The infinite-order integro-differential operator related to the Lebedev-Skalskaya transform. (English) Zbl 1548.44002 J. Pseudo-Differ. Oper. Appl. 15, No. 2, Paper No. 21, 16 p. (2024). Reviewer: Upain Kumar Mandal (Patna) MSC: 44A15 45E10 34A35 44A35 × Cite Format Result Cite Review PDF Full Text: DOI
Van Hoang, Pham The integro-differential operators of infinite order on the half line related to the Legendre operator. (English) Zbl 1540.44010 Math. Methods Appl. Sci. 46, No. 8, 8816-8830 (2023). MSC: 44A15 47G20 45E10 34A35 65R10 × Cite Format Result Cite Review PDF Full Text: DOI
Dziri, Moncef; Kroumi, Anis Tikhonov regularisation for the Weierstrass transform associated with the Kontorovich-Lebedev transform. (English) Zbl 1528.44001 Complex Var. Elliptic Equ. 68, No. 7, 1119-1131 (2023). MSC: 44A15 46E35 47G10 41A25 × Cite Format Result Cite Review PDF Full Text: DOI
Tuan, Trinh Operational properties of the Hartley convolution and its applications. (English) Zbl 1510.44007 Mediterr. J. Math. 19, No. 6, Paper No. 266, 39 p. (2022). MSC: 44A35 26D10 45E10 45J05 65R10 × Cite Format Result Cite Review PDF Full Text: DOI
Mandal, U. K.; Verma, Sandeep Kumar; Prasad, Akhilesh Composition of wavelet transforms and wave packet transform involving Kontorovich-Lebedev transform. (English) Zbl 1499.65789 Filomat 35, No. 1, 47-60 (2021). MSC: 65T60 42C40 44A20 × Cite Format Result Cite Review PDF Full Text: DOI
Tuan, T. On the Fourier-sine and Kontorovich-Lebedev generalized convolution transforms and their applications. (English) Zbl 1448.42017 Ukr. Math. J. 72, No. 2, 302-316 (2020) and Ukr. Mat. Zh. 72, No. 2, 267-279 (2020). MSC: 42A85 44A35 44A15 46F10 × Cite Format Result Cite Review PDF Full Text: DOI
Dziri, M.; Kroumi, A. On the boundedness of fractional maximal and Riesz potential operators associated with Kontorovich-Lebedev transform. (English) Zbl 1447.42004 Integral Transforms Spec. Funct. 31, No. 8, 601-619 (2020). MSC: 42A38 33C10 42B25 44A35 × Cite Format Result Cite Review PDF Full Text: DOI
Britvina, Lyubov Hankel generalized convolutions with the associated Legendre functions in the kernel and their applications. (English) Zbl 1442.42026 Kravchenko, Vladislav V. (ed.) et al., Transmutation operators and applications. Cham: Birkhäuser. Trends Math., 49-66 (2020). MSC: 42A85 42A38 44A05 44A35 45A05 × Cite Format Result Cite Review PDF Full Text: DOI
Tuan, Trinh; van Hoang, Pham; Hong, Nguyen Thanh Integral equation of Toeplitz plus Hankel’s type and parabolic equation related to the Kontorovich-Lebedev-Fourier generalized convolutions. (English) Zbl 1405.42010 Math. Methods Appl. Sci. 41, No. 17, 8171-8181 (2018). MSC: 42A85 44A35 45E10 35A22 65R10 65R20 × Cite Format Result Cite Review PDF Full Text: DOI
Hoang, Pham Van On the reverse convolution inequalities for the Kontorovich-Lebedev, Fourier cosine transforms and applications. (English) Zbl 1402.35015 Math. Inequal. Appl. 21, No. 3, 611-627 (2018). MSC: 35A23 35A22 44A35 26D15 26D10 45E10 45J05 33E30 65R10 × Cite Format Result Cite Review PDF Full Text: DOI
Prasad, Akhilesh; Mandal, U. K. Wavelet transforms associated with the Kontorovich-Lebedev transform. (English) Zbl 1368.42041 Int. J. Wavelets Multiresolut. Inf. Process. 15, No. 2, Article ID 1750011, 17 p. (2017). Reviewer: Haydar Akca (Abu Dhabi) MSC: 42C40 65R10 44A35 × Cite Format Result Cite Review PDF Full Text: DOI
Hong, Nguyen Thanh; Hoang, Pham Van; Tuan, Vu Kim The convolution for the Kontorovich-Lebedev transform revisited. (English) Zbl 1342.44005 J. Math. Anal. Appl. 440, No. 1, 369-378 (2016). MSC: 44A35 44A15 35A22 45E10 35K55 × Cite Format Result Cite Review PDF Full Text: DOI
Hong, Nguyen Thanh; Tuan, Trinh; Thao, Nguyen Xuan On the Fourier cosine-Kontorovich-Lebedev generalized convolution transforms. (English) Zbl 1289.44005 Appl. Math., Praha 58, No. 4, 473-486 (2013). MSC: 44A35 45E10 33C10 45J05 47A30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Yakubovich, Semyon B. On the least values of \(L_{p}\)-norms for the Kontorovich–Lebedev transform and its convolution. (English) Zbl 1068.44002 J. Approximation Theory 131, No. 2, 231-242 (2004). Reviewer: Alexandr L. Brodskij (Severodonetsk) MSC: 44A15 44A05 44A35 × Cite Format Result Cite Review PDF Full Text: DOI