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
Trinh Tuan; Nguyen Thanh Hong Trigonometric weighted generalized convolution operator associated with Fourier cosine-sine and Kontorovich-Lebedev transformations. (English) Zbl 1546.42005 Integral Transforms Spec. Funct. 35, No. 9, 463-480 (2024). MSC: 42A38 42A85 44A15 44A35 45A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mandal, U. K.; Dziri, Moncef; Prasad, Akhilesh Laplace transform-type multipliers for Kontorovich-Lebedev transform. (English) Zbl 07955530 Asian-Eur. J. Math. 16, No. 4, Article ID 2350060, 20 p. (2023). MSC: 44A20 44A10 47G10 × Cite Format Result Cite Review PDF Full Text: DOI
Bryc, Włodek; Kuznetsov, Alexey; Wang, Yizao; Wesołowski, Jacek Markov processes related to the stationary measure for the open KPZ equation. (English) Zbl 1528.60076 Probab. Theory Relat. Fields 185, No. 1-2, 353-389 (2023). MSC: 60J25 44A15 34L10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yakubovich, S. Upper bounds and asymptotic expansion for Macdonald’s function and the summability of the Kontorovich-Lebedev integrals. (English) Zbl 1535.44007 Integral Transforms Spec. Funct. 34, No. 10, 721-736 (2023). Reviewer: D. L. Suthar (Dessie) MSC: 44A15 41A60 33C10 33C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pathak, Ashish; Pandey, Shrish Kontorovich-Lebedev wavelet transform on Besov type spaces. (English) Zbl 1540.42064 Integral Transforms Spec. Funct. 34, No. 9, 659-674 (2023). MSC: 42C40 44A35 47G10 × 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
Mandal, U. K.; Prasad, Akhilesh The generalized Kontorovich-Lebedev transform and associated operators. (English) Zbl 1525.44003 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 3, Paper No. 126, 15 p. (2023). MSC: 44A15 35S05 44A35 × Cite Format Result Cite Review PDF Full Text: DOI
Dades, Abdelaali; Daher, Radouan Localization operators associated with the Kontorovich-Lebedev wavelet transform. (English) Zbl 07617794 Bol. Soc. Mat. Mex., III. Ser. 28, No. 3, Paper No. 77, 15 p. (2022). MSC: 47-XX × Cite Format Result Cite Review PDF Full Text: DOI
Dades, Abdelaali; Daher, Radouan; Tyr, Othman Localization operators for the windowed Kontorovich Lebedev transform. (English) Zbl 07559983 J. Pseudo-Differ. Oper. Appl. 13, No. 2, Paper No. 14, 11 p. (2022). MSC: 47G10 47B10 44A15 94A11 × Cite Format Result Cite Review PDF Full Text: DOI
Kuryliak, Dozyslav B. Wave diffraction from the PEC finite wedge. (English) Zbl 1492.78009 J. Eng. Math. 134, Paper No. 5, 25 p. (2022). MSC: 78A45 78A05 35B65 35A22 35B40 33C10 × Cite Format Result Cite Review PDF Full Text: DOI
Dades, Abdelaali; Daher, Radouan; Tyr, Othman Uncertainty principles for the continuous Kontorovich Lebedev wavelet transform. (English) Zbl 1521.44002 J. Pseudo-Differ. Oper. Appl. 13, No. 2, Paper No. 24, 15 p. (2022). MSC: 44A15 46F12 × 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
Aghili, Arman Some identities for Mellin, Kontorovich-Lebedev transforms with applications. (English) Zbl 1493.30081 Tbil. Math. J. 14, No. 2, 239-253 (2021). MSC: 30E20 33C10 33C47 65R10 × Cite Format Result Cite Review PDF Full Text: DOI
Srivastava, H. M.; Chauhan, Manmohan Singh; Upadhyay, S. K. Asymptotic series of a general symbol and pseudo-differential operators involving the Kontorovich-Lebedev transform. (English) Zbl 1494.44005 J. Nonlinear Convex Anal. 22, No. 11, 2461-2478 (2021). MSC: 44A15 35S05 46F12 46E35 33C10 44A35 × Cite Format Result Cite Review PDF Full Text: Link
Yakubovich, S. Discrete Lebedev-Skalskaya transforms. (English) Zbl 1491.44004 Integral Transforms Spec. Funct. 32, No. 11, 883-892 (2021). MSC: 44A15 42A16 33C10 39A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tuan, Trinh Some classes of integral equations of convolutions-pair generated by the Kontorovich-Lebedev, Laplace and Fourier transforms. (English) Zbl 1491.45005 Commun. Korean Math. Soc. 36, No. 3, 485-494 (2021). MSC: 45E10 33C10 44A35 44A10 44A30 44A05 × Cite Format Result Cite Review PDF Full Text: DOI
Mandal, U. K.; Prasad, Akhilesh A pair of Kontorovich-Lebedev type transforms and associated pseudo-differential operators. (English) Zbl 1479.44005 Ann. Math. Sci. Appl. 6, No. 1, 87-118 (2021). MSC: 44A20 46F12 35S05 × Cite Format Result Cite Review PDF Full Text: DOI
Kroumi, Anis Boundedness of integral operators associated with the Kontorovich-Lebedev transform in the Lebesgue spaces type. (English) Zbl 1468.42003 Asian-Eur. J. Math. 14, No. 5, Article ID 2150081, 16 p. (2021). MSC: 42A38 33C10 42B25 44A35 × Cite Format Result Cite Review PDF Full Text: DOI
Yakubovich, Semyon Discrete Kontorovich-Lebedev transforms. (English) Zbl 1476.44005 Ramanujan J. 55, No. 2, 517-538 (2021). MSC: 44A15 42A16 33C10 39A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yakubovich, Semyon On the orthogonality and convolution orthogonality via the Kontorovich-Lebedev transform. (English) Zbl 1473.33006 J. Comput. Appl. Math. 384, Article ID 113178, 17 p. (2021). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 33C45 33C10 44A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tuan, Trinh; Hong, Nguyen Thanh A class of Fredholm equations and systems of equations related to the Kontorovich-Lebedev and the Fourier integral transforms. (English) Zbl 1463.45005 Turk. J. Math. 44, No. 3, 643-655 (2020). MSC: 45B05 33C10 44A35 45E10 45J05 × Cite Format Result Cite Review PDF Full Text: DOI
Yakubovich, S. Discrete Mehler-Fock transforms. (English) Zbl 1486.44006 Integral Transforms Spec. Funct. 31, No. 8, 645-654 (2020). Reviewer: Upain Kumar Mandal (Dhanbad) MSC: 44A15 42A16 33C05 33C45 39A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Srivastava, H. M.; Chauhan, Manmohan Singh; Upadhyay, S. K. \(L_{\alpha }^p\)-boundedness of the pseudo-differential operators associated with the Kontorovich-Lebedev transform. (English) Zbl 1441.47059 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 2, Paper No. 80, 18 p. (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 47G30 44A15 46F12 46E35 33C10 44A35 × Cite Format Result Cite Review PDF Full Text: DOI
González, Benito J.; Negrín, Emilio R. Abelian theorems for distributional Kontorovich-Lebedev and Mehler-Fock transforms of general order. (English) Zbl 1425.46027 Banach J. Math. Anal. 13, No. 3, 524-537 (2019). Reviewer: P. K. Banerji (Jodhpur) MSC: 46F12 44A15 47G10 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Ehrenmark, Ulf Summability experiments with a class of divergent inverse Kontorovich-Lebedev transforms. (English) Zbl 1416.65522 Comput. Math. Appl. 76, No. 1, 141-154 (2018). MSC: 65R10 44A15 × 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
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 × Cite Format Result Cite Review PDF Full Text: DOI
Patra, Baidyanath An introduction to integral transforms. (English) Zbl 1393.44001 Boca Raton, FL: CRC Press (ISBN 978-1-138-58803-5/hbk; 978-1-032-65335-8/pbk; 978-0-429-99434-0/ebook). 411 p. (2018). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 44-01 42A38 34A12 34B40 35E15 35F10 35F15 35F30 34K10 00-01 00-02 00A05 00A06 × Cite Format Result Cite Review PDF Full Text: DOI
Prasad, Akhilesh; Mandal, Upain Kumar The Kontorovich-Lebedev transform and its associated pseudodifferential operator. (English) Zbl 1387.35644 Math. Methods Appl. Sci. 41, No. 1, 46-57 (2018). MSC: 35S05 44A20 44A35 × Cite Format Result Cite Review PDF Full Text: DOI
Prasad, Akhilesh; Mandal, Upain K. Two versions of pseudo-differential operators involving the Kontorovich-Lebedev transform in \(L^{2}(\mathbb{R}_{+};\frac{dx}{x})\). (English) Zbl 1386.35509 Forum Math. 30, No. 1, 31-42 (2018). MSC: 35S05 44A20 × Cite Format Result Cite Review PDF Full Text: DOI
Hoang, Pham Van; Trinh, Tuan; Nguyen, Xuan Thao; Tuan, Vu Kim Boundedness in weighted \(L_p\) spaces for the Kontorovich-Lebedev-Fourier generalized convolutions and applications. (English) Zbl 1372.42004 Integral Transforms Spec. Funct. 28, No. 8, 590-604 (2017). MSC: 42A85 44A35 45E10 65R10 × Cite Format Result Cite Review PDF Full Text: DOI
Prasad, Akhilesh; Mandal, U. K. Boundedness of pseudo-differential operators involving Kontorovich-Lebedev transform. (English) Zbl 1437.35719 Integral Transforms Spec. Funct. 28, No. 4, 300-314 (2017). MSC: 35S05 46F12 44A35 × Cite Format Result Cite Review PDF Full Text: DOI
Khoa, Nguyen Minh; Hong, Nguyen Thanh; Tuan, Vu Kim On Fourier-Kontorovich-Lebedev generalized convolution transforms. (English) Zbl 1375.44006 Integral Transforms Spec. Funct. 28, No. 4, 271-283 (2017). Reviewer: Gumrah Uysal (Karabuk) MSC: 44A35 45J05 × 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
Craddock, Mark Fundamental solutions for the two dimensional affine group and \(\mathbb{H}^{n + 1}\). (English) Zbl 1350.35004 J. Math. Anal. Appl. 445, No. 1, 953-970 (2017). MSC: 35A08 35A22 35R03 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Srivastava, H. M.; González, B. J.; Negrín, E. R. New \(L^p\)-boundedness properties for the Kontorovich-Lebedev and Mehler-Fock transforms. (English) Zbl 1360.44005 Integral Transforms Spec. Funct. 27, No. 10, 835-845 (2016). MSC: 44A15 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Tuan, Trinh; Hong, Nguyen Thanh; Van Hoang, Pham Generalized convolution for the Kontorovich-Lebedev, Fourier transforms and applications to acoustic fields. (English) Zbl 1355.44005 Acta Math. Vietnam. 41, No. 2, 355-367 (2016). Reviewer: Ahmed I. Zayed (Chicago) MSC: 44A35 42A85 33C10 42A38 × 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
Yakubovich, S. New index transforms of the Lebedev-Skalskaya type. (English) Zbl 1337.44003 Integral Transforms Spec. Funct. 27, No. 2, 137-152 (2016). Reviewer: Kun Soo Chang (Seoul) MSC: 44A15 33C10 44A05 35A22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Thao, Nguyen Xuan; Tuan, Vu Kim; Hoang, Pham Van; Hong, Nguyen Thanh Asymptotics of the scattered Debye potentials via a generalized convolution. (English) Zbl 1347.42012 Integral Transforms Spec. Funct. 27, No. 2, 126-136 (2016). MSC: 42A85 44A35 45E10 35A22 × Cite Format Result Cite Review PDF Full Text: DOI
Yakubovich, S. New index transforms with the product of Bessel functions. (English) Zbl 1336.44003 Integral Transforms Spec. Funct. 26, No. 10, 939-955 (2015). Reviewer: Mehmet Cenkci (Antalya) MSC: 44A15 33C10 42A38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Takhtajan, L. A.; Faddeev, L. D. The spectral theory of a functional-difference operator in conformal field theory. (English. Russian original) Zbl 1327.39013 Izv. Math. 79, No. 2, 388-410 (2015); translation from Izv. Ross. Akad. Nauk, Ser. Mat 79, No. 2, 181-204 (2015). Reviewer: Christopher Goodrich (Omaha) MSC: 39A70 47B39 47A10 47A70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yakubovich, S. On the generalized Lebedev index transform. (English) Zbl 1315.44004 J. Math. Anal. Appl. 429, No. 1, 184-203 (2015). MSC: 44A15 44A10 42A38 34A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yakubovich, Semyon Certain identities, connection and explicit formulas for the Bernoulli and Euler numbers and the Riemann zeta-values. (English) Zbl 1338.11032 Analysis, München 35, No. 1, 59-71 (2015). MSC: 11B68 11M06 33C10 44A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Singh, Abhishek On the exchange property for the Kontorovich-Lebedev transformation. (English) Zbl 1346.46034 Int. J. Math. Game Theory Algebra 23, No. 4, 361-371 (2014). MSC: 46F10 46F12 44A10 × Cite Format Result Cite Review PDF
Loureiro, Ana F.; Yakubovich, S. On especial cases of Boas-Buck-type polynomial sequences. (English) Zbl 1330.44001 Milovanović, Gradimir V. (ed.) et al., Analytic number theory, approximation theory, and special functions. In honor of Hari M. Srivastava. New York, NY: Springer (ISBN 978-1-4939-0257-6/hbk; 978-1-4939-0258-3/ebook). 705-720 (2014). Reviewer: N. R. Mangalambal (Kerala) MSC: 44A15 33C60 33C65 × Cite Format Result Cite Review PDF Full Text: DOI
Nikitina, O. M. Finite hybrid integral (Kontorovich-Lebedev)-Bessel-Fourier transform on a segment \([R_0;R_3]\) of the polar axis. (Ukrainian. English summary) Zbl 1313.44003 Bukovyn. Mat. Zh. 2, No. 1-2, 85-93 (2014). MSC: 44A15 42A38 × Cite Format Result Cite Review PDF
Vieira, N.; Yakubovich, S. Time-dependent problems for a wedge via Kontorovich-Lebedev’s transform. (English) Zbl 1310.46041 Bull. Malays. Math. Sci. Soc. (2) 37, No. 3, 671-680 (2014). MSC: 46F12 44A15 33C10 65M99 × Cite Format Result Cite Review PDF Full Text: EMIS
Yakubovich, Semyon Integral and series transformations via Ramanujan’s identities and Salem’s type equivalences to the Riemann hypothesis. (English) Zbl 1348.44005 Integral Transforms Spec. Funct. 25, No. 4, 255-271 (2014). MSC: 44A15 11M06 11M36 33C05 33C15 33C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yakubovich, Semyon A class of index transforms generated by the Mellin and Laplace operators. (English) Zbl 1286.44005 J. Math. Anal. Appl. 403, No. 2, 333-343 (2013). MSC: 44A15 44A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 On the Yor integral and a system of polynomials related to the Kontorovich-Lebedev transform. (English) Zbl 1305.44004 Integral Transforms Spec. Funct. 24, No. 8, 672-683 (2013). Reviewer: Alexandr L. Brodskij (Severodonetsk) MSC: 44A15 60J65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Neretin, Yury A. Difference Sturm-Liouville problems in the imaginary direction. (English) Zbl 1277.39014 J. Spectr. Theory 3, No. 3, 237-269 (2013). Reviewer: Peter Zabreiko (Minsk) MSC: 39A12 34B24 47B39 47G10 44A20 58C40 33C05 39A70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Loureiro, Ana F.; Yakubovich, S. Central factorials under the Kontorovich-Lebedev transform of polynomials. (English) Zbl 1272.44001 Integral Transforms Spec. Funct. 24, No. 3, 217-238 (2013). Reviewer: Osman Yürekli (Ithaca) MSC: 44A15 33C10 33C45 11B68 11B73 11B83 05A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yakubovich, Semyon A Voronoi-type summation formula involving \({\sigma}_{i{\tau}}(n)\) and index transforms. (English) Zbl 1266.44006 Integral Transforms Spec. Funct. 24, No. 2, 98-110 (2013). Reviewer: Deshna Loonker (Jodhpur) MSC: 44A15 33C05 33C10 33C15 11M06 11M36 11N37 × Cite Format Result Cite Review PDF Full Text: DOI
Yakubovich, S.; Vieira, N. The use of the Kontorovich-Lebedev transform in an analysis of regularized Schrödinger equation. (English) Zbl 1272.44002 Integral Transforms Spec. Funct. 24, No. 1, 9-22 (2013). Reviewer: Osman Yürekli (Ithaca) MSC: 44A15 44A35 35Q41 47A52 35A22 × Cite Format Result Cite Review PDF Full Text: DOI
Rodrigues, M. M.; Vieira, N.; Yakubovich, S. A convolution operator related to the generalized Mehler-Fock and Kontorovich-Lebedev transforms. (English) Zbl 1267.44002 Result. Math. 63, No. 1-2, 511-528 (2013). Reviewer: Alexandr L. Brodskij (Severodonetsk) MSC: 44A15 44A05 44A35 33C10 45A05 45E10 × Cite Format Result Cite Review PDF Full Text: DOI
Yakubovich, Semyon An index integral and convolution operator related to the kontorovich-lebedev and mehler-Fock transforms. (English) Zbl 1274.44007 Complex Anal. Oper. Theory 6, No. 4, 947-970 (2012). MSC: 44A15 44A05 44A35 33C10 33C45 45A05 × Cite Format Result Cite Review PDF Full Text: DOI
Tuan, Trinh A novel polyconvolution for the Fourier sine, Fourier cosine and the Kontorovich-Lebedev integral transforms and applications. (English) Zbl 1289.44006 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 38, 25-42 (2012). MSC: 44A35 42A38 45E10 × Cite Format Result Cite Review PDF
Yakubovich, S. A new Kontorovich-Lebedev-like transformation. (English) Zbl 1262.44003 Commun. Math. Anal. 13, No. 1, 86-99 (2012). MSC: 44A15 44A35 45E10 44A10 33C05 33C10 33C15 39A10 × Cite Format Result Cite Review PDF Full Text: arXiv Euclid
Goldfeld, Dorian; Kontorovich, Alex On the determination of the Plancherel measure for Lebedev-Whittaker transforms on \(\mathrm{GL}(n)\). (English) Zbl 1304.11034 Acta Arith. 155, No. 1, 15-26 (2012). MSC: 11F55 22E30 33C15 44A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yakubovich, Semyon Voronoi-Nasim summation formulas and index transforms. (English) Zbl 1253.44007 Integral Transforms Spec. Funct. 23, No. 5, 369-388 (2012). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 44A15 33C05 33C10 11M06 11M36 11N37 × Cite Format Result Cite Review PDF Full Text: DOI
Goldfeld, Dorian; Kontorovich, Alex; Stade, Eric On the Kontorovich-Lebedev transform. (English) Zbl 1259.44003 Comment. Math. Univ. St. Pauli 60, No. 1-2, 37-46 (2011). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 44A15 × Cite Format Result Cite Review PDF
Lenyuk, M. P.; Lenyuk, O. M. The hybrid integral transform of the Euler-(Kontorovych-Lebedev)-Legendre differential operator on the polar axis \(r\geq R_0>0\). (Ukrainian. English summary) Zbl 1249.44004 Nauk. Visn. Chernivets’kogo Univ., Mat. 1, No. 4, 80-87 (2011). MSC: 44A15 35A22 35K05 × Cite Format Result Cite Review PDF
Yakubovich, Semyon A general class of Voronoi’s and Koshliakov-Ramanujan’s summation formulas involving \(d_{k}(n)\). (English) Zbl 1235.44007 Integral Transforms Spec. Funct. 22, No. 11, 801-821 (2011). Reviewer: Kun Soo Chang (Seoul) MSC: 44A15 33C05 33C10 11M06 11M36 11N37 × Cite Format Result Cite Review PDF Full Text: DOI
Yakubovich, Semyon The heat kernel and Heisenberg inequalities related to the Kontorovich-Lebedev transform. (English) Zbl 1235.44006 Commun. Pure Appl. Anal. 10, No. 2, 745-760 (2011). Reviewer: Kun Soo Chang (Seoul) MSC: 44A15 35A22 44A35 35K05 × Cite Format Result Cite Review PDF Full Text: DOI
Yakubovich, Semyon B.; Vieira, Nelson A radial version of the Kontorovich-Lebedev transform in the unit ball. (English) Zbl 1269.44002 Opusc. Math. 31, No. 1, 137-146 (2011). Reviewer: Kun Soo Chang (Seoul) MSC: 44A15 33C10 42A38 × Cite Format Result Cite Review PDF Full Text: DOI
Tuan, Trinh; Thao, Nguyen Xuan A new polyconvolution and its application to solving a class of Toeplitz plus Hankel integral equations and systems of integral equations. (English) Zbl 1232.45009 Vietnam J. Math. 39, No. 2, 217-235 (2011). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 45E10 44A35 45F15 × Cite Format Result Cite Review PDF Full Text: Link
Yakubovich, Semyon The Fourier-Stieltjes transform of Minkowskis \(?(x)\) function and an affirmative answer to Salem’s problem. (English) Zbl 1218.42001 C. R., Math., Acad. Sci. Paris 349, No. 11-12, 633-636 (2011); corrigendum 350, No. 3-4, 147 (2012). MSC: 11A55 42A38 26A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yakubovich, Semyon Multidimensional Kontorovich-Lebedev transforms. (English) Zbl 1214.44003 Integral Transforms Spec. Funct. 22, No. 1-3, 123-141 (2011). Reviewer: Alexandr L. Brodskij (Severodonetsk) MSC: 44A30 44A15 42B30 33C10 33C70 × Cite Format Result Cite Review PDF Full Text: DOI
Nguyen Xuan Thao On the polyconvolution for the Fourier cosine and the Kontorovich-Lebedev integral transforms. (English) Zbl 1235.44009 Le Hung Son (ed.) et al., Algebraic structures in partial differential equations related to complex and Clifford analysis. Based on the selected lectures of the 17th international conference on finite and infinite dimensional complex analysis and applications, Ho Chi Minh City, Vietnam, August 3–7, 2009. Ho Chi Minh City: Ho Chi Minh City University of Education Press (ISBN 978-604-918-001-9/hbk). 361-377 (2010). MSC: 44A35 42A38 45E10 45F15 × Cite Format Result Cite Review PDF
Loonker, Deshna; Banerji, P. K. Kontorovich-Lebedev transform for integrable Boehmians. (English) Zbl 1226.46035 J. Indian Acad. Math. 32, No. 2, 683-689 (2010). MSC: 46F12 44A20 44A40 × Cite Format Result Cite Review PDF
Thao, N. X.; Virchenko, N. O. On the polyconvolution for the Fourier cosine, Fourier sine, and Kontorovich-Lebedev integral transforms. (English) Zbl 1240.33012 Ukr. Mat. Zh. 62, No. 10, 1388-1399 (2010) and in Ukr. Math. J. 62, No. 10, 1611-1624 (2010). MSC: 33C47 44A15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Zhao, Jiman; Peng, Lizhong Windowed-Kontorovich-Lebedev transforms. (English) Zbl 1207.44006 Front. Math. China 5, No. 4, 777-792 (2010). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 44A15 35A22 × Cite Format Result Cite Review PDF Full Text: DOI
Yakubovich, Semyon On the Watson \(L_{2}\)-theory for index transforms. II. (English) Zbl 1200.44006 Integral Transforms Spec. Funct. 21, No. 9-10, 663-673 (2010). MSC: 44A15 33C10 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Nguyen Xuan Thao On the polyconvolution with the weight function for the Fourier cosine, Fourier sine, and the Kontorovich-Lebedev integral transforms. (English) Zbl 1198.44004 Math. Probl. Eng. 2010, Article ID 709607, 16 p. (2010). MSC: 44A35 42A38 44A15 45E10 45F15 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Yakubovich, Semyon; Daher, Radouan An analog of Morgan’s theorem for the Kontorovich-Lebedev transform. (English) Zbl 1194.44005 Adv. Pure Appl. Math. 1, No. 2, 159-162 (2010). MSC: 44A15 30C80 30D20 × Cite Format Result Cite Review PDF Full Text: DOI
Yakubovich, Semyon On the Watson \(L_{2}\)-theory for index transforms. I. (English) Zbl 1202.44006 Integral Transforms Spec. Funct. 21, No. 5-6, 381-397 (2010). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 44A15 33C10 × Cite Format Result Cite Review PDF Full Text: DOI
Yakubovich, Semyon A class of integral equations and index transformations related to the modified and incomplete Bessel functions. (English) Zbl 1191.45003 J. Integral Equations Appl. 22, No. 1, 141-164 (2010). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 45E10 44A15 33C10 × Cite Format Result Cite Review PDF Full Text: DOI
Yakubovich, S. B.; Britvina, L. E. Convolutions related to the Fourier and Kontorovich-Lebedev transforms revisited. (English) Zbl 1191.44002 Integral Transforms Spec. Funct. 21, No. 3-4, 259-276 (2010). Reviewer: Vitaly Vladimirovich Volchkov (Donetsk) MSC: 44A35 44A15 33C10 × Cite Format Result Cite Review PDF Full Text: DOI
Becker, Peter A. Infinite integrals of Whittaker and Bessel functions with respect to their indices. (English) Zbl 1373.33008 J. Math. Phys. 50, No. 12, 123515, 21 p. (2009). MSC: 33C10 33C15 44A15 85A25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Yakubovich, Semyon B. A double index transform with a product of Macdonald’s functions revisited. (English) Zbl 1198.44003 Opusc. Math. 29, No. 3, 313-329 (2009). Reviewer: Osman Yürekli (Ithaca) MSC: 44A30 33C10 45E10 × Cite Format Result Cite Review PDF Full Text: DOI
Banerji, P. K.; Loonker, Deshna; Kalla, S. L. Kontorovich-Lebedev transform for Boehmians. (English) Zbl 1191.46035 Integral Transforms Spec. Funct. 20, No. 11-12, 905-913 (2009). Reviewer: H.-J. Glaeske (Jena) MSC: 46F12 44A35 44A15 × Cite Format Result Cite Review PDF Full Text: DOI
Yakubovich, Semyon B.; Britvina, Lyubov E. Convolution operators related to the Fourier cosine and Kontorovich-Lebedev transformations. (English) Zbl 1180.44004 Result. Math. 55, No. 1-2, 175-197 (2009). Reviewer: Dashan Fan (Milwaukee) MSC: 44A35 44A15 44A05 33C10 45A05 × Cite Format Result Cite Review PDF Full Text: DOI
Passian, A.; Simpson, H.; Kouchekian, S.; Yakubovich, S. B. On the orthogonality of the MacDonald’s functions. (English) Zbl 1180.33006 J. Math. Anal. Appl. 360, No. 2, 380-390 (2009). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C10 33C47 × Cite Format Result Cite Review PDF Full Text: DOI
Yakubovich, Semyon B. Sobolev type spaces associated with the Kontorovich-Lebedev transform. (English) Zbl 1181.44006 Begehr, H. G. W. (ed.) et al., More progresses in analysis. Proceedings of the 5th international ISAAC congress, Catania, Italy, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-283-562-8/hbk). 231-239 (2009). MSC: 44A15 46E35 26D10 × Cite Format Result Cite Review PDF
Yakubovich, Semyon B. A class of polynomials and discrete transformations associated with the Kontorovich-Lebedev operators. (English) Zbl 1232.44006 Integral Transforms Spec. Funct. 20, No. 7-8, 551-567 (2009). MSC: 44A15 11B68 33C10 × Cite Format Result Cite Review PDF Full Text: DOI
Yakubovich, Semyon B. On the theory of convolution integral equations related to Lebedev’s type operators. (English) Zbl 1181.45009 Sarajevo J. Math. 5(17), No. 1, 119-132 (2009). Reviewer: Li Xing (Yinchuan) MSC: 45E10 44A15 30E25 × Cite Format Result Cite Review PDF
Yakubovich, Semyon B. Harmonic analysis of the Lebedev-Stieltjes integrals. (English) Zbl 1187.44003 Asian-Eur. J. Math. 2, No. 2, 307-320 (2009). Reviewer: Ahmed I. Zayed (Chicago) MSC: 44A15 42A38 42A75 42A16 33C10 46F12 × Cite Format Result Cite Review PDF Full Text: DOI
Yakubovich, Semyon B. On a progress in the Kontorovich-Lebedev transform theory and related integral operators. (English) Zbl 1158.44002 Integral Transforms Spec. Funct. 19, No. 7, 509-534 (2008). Reviewer: Adem Kilicman (Serdang Selangor) MSC: 44A15 33C10 44A35 42A38 × Cite Format Result Cite Review PDF Full Text: DOI
Salem, Mohamed A.; Kamel, Aladin H. Electromagnetic fields in the presence of an infinite metamaterial wedge. (English) Zbl 1145.78309 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 464, No. 2096, 2077-2089 (2008). MSC: 78A45 × Cite Format Result Cite Review PDF Full Text: DOI
Yakubovich, Semyon B. Asymptotic and summation formulas related to the Lebedev integrals. (English) Zbl 1145.44003 Integral Transforms Spec. Funct. 19, No. 4, 293-304 (2008). Reviewer: S. L. Kalla (Kuwait) MSC: 44A15 41A60 33C10 × Cite Format Result Cite Review PDF Full Text: DOI
Tuan, Trinh On the generalized convolution with a weight function for the Fourier cosine and the inverse Kontorovich-Lebedev integral transformations. (English) Zbl 1142.44007 Nonlinear Funct. Anal. Appl. 12, No. 2, 325-341 (2007). Reviewer: Alexandr L. Brodskij (Severodonetsk) MSC: 44A35 44A15 42A38 45F15 × Cite Format Result Cite Review PDF
Yakubovich, S. B.; Britvina, L. E. A convolution related to the inverse Kontorovich-Lebedev transform. (English) Zbl 1142.44005 Sarajevo J. Math. 3(16), No. 2, 215-232 (2007). Reviewer: Dashan Fan (Milwaukee) MSC: 44A15 44A35 33C10 45E10 × Cite Format Result Cite Review PDF
Tuan, Vu Kim Classification of integral transforms. (English) Zbl 1132.44001 Chuong, N. M. (ed.) et al., Advances in deterministic and stochastic analysis. Proceedings of the 2nd international conference on abstract and applied analysis, Quy Nhon, Vietnam, June 4–9. 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-550-1/hbk). 43-72 (2007). MSC: 44-02 44A15 44A35 42A38 × Cite Format Result Cite Review PDF
Salem, Mohamed A.; Kamel, Aladin H.; Osipov, Andrey V. Electromagnetic fields in the presence of an infinite dielectric wedge. (English) Zbl 1149.78300 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 462, No. 2072, 2503-2522 (2006). MSC: 78A25 × Cite Format Result Cite Review PDF Full Text: DOI
Yakubovich, S. B. \(L_{2}\)-boundedness of the gamma-product transform. (English) Zbl 1132.44004 Lith. Math. J. 46, No. 2, 233-245 (2006); and Liet. Mat. Rink. 46, No. 2, 285-297 (2006). MSC: 44A15 33B15 × Cite Format Result Cite Review PDF Full Text: DOI Link