Kuznetsov, Dmitriy Feliksovich Mean-square approximation of iterated Ito and Stratonovich stochastic integrals: method of generalized multiple Fourier series. Application to numerical integration of Ito SDEs and semilinear SPDEs. 3rd edition. (English) Zbl 1528.60002 Differ. Uravn. Protsessy Upr. 2023, No. 1, 947 p. (2023). MSC: 60-02 65-02 35Q62 60H05 60H10 65C30 × Cite Format Result Cite Review PDF Full Text: Link
Aydemir, Kadriye Green’s function and Carleman’s formula for transmission problems. (English) Zbl 1511.34032 Bull. Malays. Math. Sci. Soc. (2) 45, No. 6, 3277-3291 (2022). Reviewer: Ekin Uğurlu (Ankara) MSC: 34B24 34B27 34L10 34A36 × Cite Format Result Cite Review PDF Full Text: DOI
Allahverdiev, Bilender P.; Tuna, Hüseyin On expansion in eigenfunction for Dirac systems on the unbounded time scales. (English) Zbl 1494.34193 Differ. Equ. Dyn. Syst. 30, No. 2, 271-285 (2022). MSC: 34N05 34L10 34L40 × Cite Format Result Cite Review PDF Full Text: DOI
Kuznetsov, Dmitriy Feliksovich Mean-square approximation of iterated Ito and Stratonovich stochastic integrals: method of generalized multiple Fourier series. Application to numerical integration of Ito SDEs and semilinear SPDEs. (English) Zbl 1492.60004 Differ. Uravn. Protsessy Upr. 2021, No. 4, 788 p. (2021). MSC: 60-02 65-02 35Q62 60H05 60H10 65C30 × Cite Format Result Cite Review PDF Full Text: Link Link
Allahverdiev, Bilender P.; Tuna, Hüseyin A spectral expansion for Hahn-Sturm-Liouville equation on the whole line. (English) Zbl 1489.39004 Folia Math. 23, No. 1, 3-19 (2021). MSC: 39A13 39A12 39A70 34L10 34B40 × Cite Format Result Cite Review PDF Full Text: Link
Irgashev, B. Y. Boundary value problem for high order equation with discontinuous coefficients. (English) Zbl 1488.35373 Uzb. Math. J. 2020, No. 3, 85-97 (2020). MSC: 35M10 × Cite Format Result Cite Review PDF Full Text: arXiv
Allahverdiev, Bilender P.; Tuna, Hüseyin Spectral theory of singular Hahn difference equation of the Sturm-Liouville type. (English) Zbl 1476.39005 Commun. Math. 28, No. 1, 13-25 (2020). Reviewer: Thanin Sitthiwirattham (Bangkok) MSC: 39A13 39A12 39A70 34L10 34B40 × Cite Format Result Cite Review PDF Full Text: DOI
Allahverdiev, Bilender P.; Tuna, Hüseyin Spectral expansion for singular conformable fractional Dirac systems. (English) Zbl 1464.34111 Rend. Circ. Mat. Palermo (2) 69, No. 3, 1359-1372 (2020). MSC: 34L40 34A08 26A33 34L10 34B40 47A10 × Cite Format Result Cite Review PDF Full Text: DOI
Kuznetsov, Dmitriy Feliksovich Strong approximation of iterated Ito and Stratonovich stochastic integrals based on generalized multiple Fourier series. Application to numerical solution of Ito SDEs and semilinear SPDEs. (English) Zbl 1456.65001 Differ. Uravn. Protsessy Upr. 2020, No. 4, 606 p. (2020). MSC: 65-02 60H05 60H10 65C30 65M75 × Cite Format Result Cite Review PDF Full Text: arXiv Link Link
Allahverdiev, Bilender P.; Tuna, Hüseyin; Yalçinkaya, Yüksel Spectral expansion for singular conformable fractional Sturm-Liouville problem. (English) Zbl 1456.34003 Math. Commun. 25, No. 2, 237-252 (2020). MSC: 34A08 34B09 34B24 34L05 × Cite Format Result Cite Review PDF Full Text: Link
Kuznetsov, Dmitriĭ Feliksovich The proof of convergence with probability 1 in the method of expansion of iterated Ito stochastic integrals based on generalized multiple Fourier series. (English) Zbl 1457.60082 Differ. Uravn. Protsessy Upr. 2020, No. 2, 89-117 (2020). MSC: 60H05 60H10 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Lipnitskiĭ, Andreĭ Valer’evich On the instability of the Millionshchikov linear systems depending on a real parameter. (Russian. English summary) Zbl 1524.34131 Dokl. Nats. Akad. Nauk Belarusi 63, No. 3, 270-277 (2019). MSC: 34D20 34A30 × Cite Format Result Cite Review PDF Full Text: Link
Mosazadeh, Seyfollah Spectral properties and a Parseval’s equality in the singular case for \(q\)-Dirac problem. (English) Zbl 1487.39009 Adv. Difference Equ. 2019, Paper No. 522, 14 p. (2019). MSC: 39A13 34L40 34L05 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Fu, Yuankang; Zhu, Yucan Some equalities and inequalities for Parseval \(K\)-frames. (Chinese. English summary) Zbl 1449.42056 J. Fuzhou Univ., Nat. Sci. 47, No. 5, 577-581 (2019). MSC: 42C15 46C15 × Cite Format Result Cite Review PDF
Allahverdiev, Bilender P.; Tuna, Huseyin On expansion in eigenfunction for \(q\)-Dirac systems on the whole line. (English) Zbl 1538.39024 Math. Rep., Buchar. 21(71), No. 3, 369-382 (2019). MSC: 39A70 39A13 05A30 11B65 × Cite Format Result Cite Review PDF
Allahverdiev, Bilender P.; Tuna, Hüseyin Eigenfunction expansion in the singular case for Dirac systems on time scales. (English) Zbl 1438.34343 Konuralp J. Math. 7, No. 1, 128-135 (2019). MSC: 34N05 34L05 34L10 34L40 × Cite Format Result Cite Review PDF Full Text: Link
Allahverdiev, Bilender; Tuna, Huseyin Eigenfunction expansion in the singular case for \(q\)-Sturm-Liouville operators. (English) Zbl 1463.39008 Casp. J. Math. Sci. 8, No. 2, 91-102 (2019). MSC: 39A13 39A12 39A70 05A30 34B24 34L10 × Cite Format Result Cite Review PDF Full Text: DOI
Paşaoğlu Allahverdiev, Bilender; Tuna, Hüseyin The spectral expansion for the Hahn-Dirac system on the whole line. (English) Zbl 1468.34117 Turk. J. Math. 43, No. 3, 1668-1687 (2019). Reviewer: Erdogan Sen (Tekirdağ) MSC: 34L05 34L10 34L40 × Cite Format Result Cite Review PDF Full Text: DOI
Allahverdiev, Bilender P.; Tuna, Huseyin Eigenfunction expansion for singular Sturm-Liouville problems with transmission conditions. (English) Zbl 1406.34101 Electron. J. Differ. Equ. 2019, Paper No. 03, 10 p. (2019). MSC: 34L10 34B24 47E05 × Cite Format Result Cite Review PDF Full Text: Link
Paşaoğlu Allahverdiev, Bilender; Tuna, Hüseyin Spectral expansion for the singular Dirac system with impulsive conditions. (English) Zbl 1424.34307 Turk. J. Math. 42, No. 5, 2527-2545 (2018). MSC: 34L40 34A37 34L05 34L10 × Cite Format Result Cite Review PDF Full Text: DOI
Paşaoğlu Allahverdiev, Bilender; Tuna, Hüseyin An expansion theorem for \(q\)-Sturm-Liouville operators on the whole line. (English) Zbl 1424.39018 Turk. J. Math. 42, No. 3, 1060-1071 (2018). MSC: 39A13 33D05 34L10 34L40 × Cite Format Result Cite Review PDF Full Text: DOI
Kuznetsov, Dmitriy Feliksovich Stochastic differential equations: theory and practice of numerical solution. With Matlab programs. 6th revised and expanded edition. (Стохастические дифференциальные уравнения: теория и практика численного решения. С программами в среде Matlab.) (Russian) Zbl 1404.60002 Differ. Uravn. Protsessy Upr. 2018, No. 4, 1073 p., open access (2018). MSC: 60-02 65-02 60H05 60H10 60H35 65C30 × Cite Format Result Cite Review PDF Full Text: Link
Dan, Mu; Sun, Jiong; Ao, Ji-Jun; Xie, Junhui The modified Parseval equality of Sturm-Liouville problems with coupled boundary condition. (English) Zbl 1485.34093 Oper. Matrices 12, No. 3, 757-771 (2018). MSC: 34B24 34B27 34L20 47E05 × Cite Format Result Cite Review PDF Full Text: DOI
Kholkin, A. M.; Rofe-Beketov, F. S. Parseval equality for non-self-adjoint differential operator with block-triangular potential. (English) Zbl 1495.47069 Azerb. J. Math. 8, No. 1, 86-98 (2018). MSC: 47E05 34B24 47B28 34L10 34C10 × Cite Format Result Cite Review PDF Full Text: Link
Yakubovich, S. On the Weber integral equation and solution to the Weber-Titchmarsh problem. (English) Zbl 1380.45001 J. Math. Anal. Appl. 460, No. 1, 400-410 (2018). MSC: 45E10 44A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kuznetsov, Dmitriy Feliksovich Stochastic differential equations: theory and practice of numerical solution. With Matlab programs. 5th edition. (Стохастические дифференциальные уравнения: теория и практика численного решения. С программами в среде Matlab.) (Russian) Zbl 1368.60004 Differ. Uravn. Protsessy Upr. 2017, No. 2, 1000 p., open access (2017). MSC: 60-02 65-02 60H05 60H10 60H35 65C30 × Cite Format Result Cite Review PDF Full Text: Link
Aydemir, Kadriye; Mukhtarov, Oktay Sh. Variational principles for spectral analysis of one Sturm-Liouville problem with transmission conditions. (English) Zbl 1419.34105 Adv. Difference Equ. 2016, Paper No. 76, 14 p. (2016). MSC: 34B24 34L10 47E05 34B27 34L20 × Cite Format Result Cite Review PDF Full Text: DOI
Avantaggiati, Antonio; Loreti, Paola Ingham type inequalities towards Parseval equality. (English) Zbl 1383.42001 Note Mat. 36, No. 1, 67-77 (2016). MSC: 42A05 41A58 × Cite Format Result Cite Review PDF
Aydemir, Kadriye Courant’s minimax principle for two-interval boundary-value problems with interaction conditions. (English) Zbl 1352.34036 Contemp. Anal. Appl. Math. 4, No. 1, 70-83 (2016). MSC: 34B24 34B27 34L10 58E50 × Cite Format Result Cite Review PDF
Lasuriya, R. A. Direct and inverse theorems on the approximation of functions by Fourier-Laplace sums in the spaces \(S^{(p,q)}(\sigma^m)\). (English. Russian original) Zbl 1339.41023 Math. Notes 98, No. 4, 601-612 (2015); translation from Mat. Zametki 98, No. 4, 530-543 (2015). MSC: 41A27 42B37 × Cite Format Result Cite Review PDF Full Text: DOI
Cui, Zhen; Zhang, Keke; Liao, Xinhao On the completeness of inertial wave modes in rotating annular channels. (English) Zbl 1541.86006 Geophys. Astrophys. Fluid Dyn. 108, No. 1, 44-59 (2014). MSC: 86A05 × Cite Format Result Cite Review PDF Full Text: DOI
Mu, Dan; Sun, Jiong; Yao, Siqin A modified Parseval equality of Sturm-Liouville problem on two-interval. (English) Zbl 1324.34060 Math. Appl. 27, No. 4, 827-843 (2014). MSC: 34B24 34B27 34L20 34L15 34L10 × Cite Format Result Cite Review PDF
Yakubovich, S. On the half-Hartley transform, its iteration and compositions with Fourier transforms. (English) Zbl 1307.44008 J. Integral Equations Appl. 26, No. 4, 581-608 (2014). MSC: 44A15 44A35 42A38 45E05 45E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Kholkin, A. M.; Rofe-Beketov, F. S. Green’s function, resolvent, Parseval equality of differential operator with block-triangular matrix coefficients. (English) Zbl 1308.34034 Oper. Matrices 8, No. 3, 601-622 (2014). MSC: 34B27 34B24 47A10 47E05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Aydemir, Kadriye; Muhtarov, Fahrettin S. Modified Parseval and Carleman equalities for Sturm-Liouville problems with interior singularities. (English) Zbl 1304.34051 Contemp. Anal. Appl. Math. 2, No. 1, 78-87 (2014). MSC: 34B24 34B27 34A25 × Cite Format Result Cite Review PDF
Huseynov, Adil Spectral matrix for Sturm-Liouville operators on two-sided unbounded time scales. (English) Zbl 1289.34263 J. Oper. Theory 70, No. 1, 33-51 (2013). Reviewer: Mihai Pascu (Bucuresti) MSC: 34N05 34L10 26E70 × Cite Format Result Cite Review PDF Full Text: DOI
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
Dil’nyi, V. M. On convolution of functions in angular domains. (English) Zbl 1282.46025 Ukr. Math. J. 64, No. 9, 1315-1325 (2013); translation from Ukr. Mat. Zh. 64, No. 9, 1155-1164 (2012). MSC: 46E15 × 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
Rubinshtein, A. I. On Parseval’s equality for rearrangements of the trigonometric system. (English. Russian original) Zbl 1284.42010 Math. Notes 90, No. 5, 780-783 (2011); translation from Mat. Zametki 90, No. 5, 797-800 (2011). MSC: 42A38 42A24 × Cite Format Result Cite Review PDF Full Text: DOI
Volosivets, S. S. Generalization of the multiplicative Fourier transform and its properties. (English. Russian original) Zbl 1228.42010 Math. Notes 89, No. 3, 311-318 (2011); translation from Mat. Zametki 89, No. 3, 323-330 (2011). MSC: 42A38 × Cite Format Result Cite Review PDF Full Text: DOI
Ivanov, A. V.; Ivanov, V. I. Jackson’s theorem in the space \(L_{2}(\mathbb R^{d})\) with power weight. (English. Russian original) Zbl 1231.41010 Math. Notes 88, No. 1, 140-143 (2010); translation from Mat. Zametki 88, No. 1, 148-151 (2010). Reviewer: Yang Dachun (Beijing) MSC: 41A17 41A30 41A80 × 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
Zhang, Chuanyi; Liu, Junwei Two unsolved problems on almost periodic type functions. (English) Zbl 1193.42066 Appl. Math. Lett. 23, No. 9, 1133-1136 (2010). MSC: 42A75 × 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
Giang, Bui Thi; Tuan, Nguyen Minh Generalized convolutions and the integral equations of the convolution type. (English) Zbl 1193.44029 Complex Var. Elliptic Equ. 55, No. 4, 331-345 (2010). Reviewer: Semyon Yakubovich (Porto) MSC: 44A35 45E10 44A15 44A30 × Cite Format Result Cite Review PDF Full Text: DOI
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
Sangare, K.; Faminskii, A. V. Weak solutions of a mixed problem in a half-strip for a generalized Kawahara equation. (English. Russian original) Zbl 1181.35250 Math. Notes 85, No. 1, 90-100 (2009); translation from Mat. Zametki 85, No. 1, 98-109 (2009). MSC: 35Q53 35D30 35B45 × Cite Format Result Cite Review PDF Full Text: DOI
Alferova, E. D. The Parseval equality for the multiple Fourier–Stieltjes series in the Haar system. (Russian) Zbl 1164.42007 Vestn. Mosk. Univ., Ser. I 2007, No. 4, 8-12 (2007). Reviewer: L. N. Chernetskaja (Kyïv) MSC: 42A38 × Cite Format Result Cite Review PDF
Yakubovich, S. B. \(L_2\)-interpretation of the Kontorovich-Lebedev integrals. (English) Zbl 1142.44004 Int. J. Pure Appl. Math. 42, No. 1, 99-110 (2007). Reviewer: Alexandr L. Brodskij (Severodonetsk) MSC: 44A15 × Cite Format Result Cite Review PDF Full Text: EuDML
Kolomoitsev, Yu. S. Completeness of the trigonometric system for the classes \(\varphi (L)\). (English. Russian original) Zbl 1136.46026 Math. Notes 81, No. 5, 632-637 (2007); translation from Mat. Zametki 81, No. 5, 707-712 (2007). MSC: 46E30 46B15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Jiman; Li, Hongbo Weyl transforms associated with the Hankel transform in Clifford analysis. (English) Zbl 1120.44004 Math. Methods Appl. Sci. 29, No. 7, 839-851 (2006). Reviewer: Jan L. Cieśliński (Białystok) MSC: 44A15 47B38 15A66 47B35 × Cite Format Result Cite Review PDF Full Text: DOI
Dostanić, M. R. The norm and regularized trace of the Cauchy transform. (English) Zbl 1091.47037 Math. Notes 77, No. 6, 777-786 (2005); translation from Mat. Zametki 77, No. 6, 844-853 (2005). Reviewer: Michael Shapiro (Mexico) MSC: 47G10 30E20 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Albeverio, S.; Mazzucchi, S. Generalized Fresnel integrals. (English) Zbl 1096.28010 Bull. Sci. Math. 129, No. 1, 1-23 (2005). Reviewer: Sergey Lüdkovsky (Moskva) MSC: 28C20 35S30 44A15 81S40 58J37 28C05 × Cite Format Result Cite Review PDF Full Text: DOI
Yarotskaya, L. D. On the inversion of some \(W\)-transform. (English) Zbl 1073.44003 Integral Transforms Spec. Funct. 16, No. 5-6, 505-513 (2005). Reviewer: Alexandr L. Brodskij (Severodonetsk) MSC: 44A15 × Cite Format Result Cite Review PDF Full Text: DOI
Yakubovich, Semyon B. Integral transforms of the Kontorovich-Lebedev convolution type. (English) Zbl 1067.44004 Collect. Math. 54, No. 2, 99-110 (2003). MSC: 44A15 44A35 × Cite Format Result Cite Review PDF Full Text: EuDML
Yakubovich, S. B. Integral transformations by the index of Lommel’s function. (English) Zbl 1052.44002 Period. Math. Hung. 46, No. 2, 223-233 (2003). Reviewer: Mihail Voicu (Iasi) MSC: 44A15 44A20 33C10 × Cite Format Result Cite Review PDF Full Text: DOI
Lukashenko, T. P. On the Parseval equality for the product of functions. (English. Russian original) Zbl 1056.42005 Mosc. Univ. Math. Bull. 58, No. 3, 21-28 (2003); translation from Vestn. Mosk. Univ., Ser. I 2003, No. 3, 32-39 (2003). Reviewer: L. N. Chernetskaja (Kyïv) MSC: 42A24 42A16 × Cite Format Result Cite Review PDF
Yakubovich, Semyon B. On the integral transformation associated with the product of gamma-functions. (English) Zbl 1050.44002 Port. Math. (N.S.) 60, No. 3, 337-351 (2003). Reviewer: J. M. C. Joshi (Uttaranchal) MSC: 44A15 33B15 44A20 × Cite Format Result Cite Review PDF Full Text: EuDML
Lukashenko, T. P. Riemann-Stieltjes integrals and Parseval’s equality. (English. Russian original) Zbl 1095.42504 Mosc. Univ. Math. Bull. 57, No. 4, 18-23 (2002); translation from Vestn. Mosk. Univ., Ser. I 2002, No. 4, 18-22 (2002). Reviewer: V. G. Miladzhanov (Andizhan) MSC: 42A38 42A63 42B08 × Cite Format Result Cite Review PDF
Goryacheva, V. S. Parseval’s equality for Fourier-Stieltjes series. (English. Russian original) Zbl 1029.42003 Mosc. Univ. Math. Bull. 57, No. 2, 32-36 (2002); translation from Vestn. Mosk. Univ., Ser. I 2002, No. 2, 32-36 (2002). Reviewer: N.V.Nikitina (Kyïv) MSC: 42A16 × Cite Format Result Cite Review PDF
Yakubovich, Semyon B. Index transforms associated with products of Whittaker’s functions. (English) Zbl 1015.44002 J. Comput. Appl. Math. 148, No. 2, 419-427 (2002). Reviewer: Hari M.Srivastava (Victoria) MSC: 44A20 33C60 44A15 × Cite Format Result Cite Review PDF Full Text: DOI
Soldatova, M. A. Some estimates for nonorthonormalized fundamental systems of functions of the Laplace operator. (English. Russian original) Zbl 1048.35043 Dokl. Math. 63, No. 2, 237-240 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 377, No. 5, 601-604 (2001). MSC: 35P10 47F05 35J05 × Cite Format Result Cite Review PDF
Lukashenko, T. P. Properties of orthorecursive expansions over nonorthogonal systems. (English. Russian original) Zbl 1023.42014 Mosc. Univ. Math. Bull. 56, No. 1, 5-9 (2001); translation from Vestn. Mosk. Univ., Ser. I 2001, No. 1, 6-10 (2001). Reviewer: L.N.Chernetskaja (Kyïv) MSC: 42C05 42C15 × Cite Format Result Cite Review PDF
Lukashenko, T. P. Properties of generalized decomposition systems similar to orthogonal systems. (English. Russian original) Zbl 1007.42019 Russ. Math. 44, No. 10, 30-44 (2000); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2000, No. 10, 33-48 (2000). Reviewer: Leonid Golinskii (Kharkov) MSC: 42C10 42C40 × Cite Format Result Cite Review PDF
Kudrewicz, Jacek \(Z\)-transformation and difference equations. (Przekształcenie \(Z\) i równania różnicowe.) (Polish) Zbl 0970.39002 Warsaw: Wydawnictwo Naukowe PWN. 156 p. (2000). Reviewer: Dobiesław Bobrowski (Poznań) MSC: 39Axx 39A11 39-02 39A70 47B39 47B37 44A55 × Cite Format Result Cite Review PDF
Yakubovich, S. B.; Yarotzkaya, L. D. Integral transformation associated with the Macdonald type kernels. (English) Zbl 0962.44004 East-West J. Math. 2, No. 1, 73-84 (2000). Reviewer: K.C.Gupta (Jaipur) MSC: 44A15 44A20 × Cite Format Result Cite Review PDF
Yakubovich, S. B.; Gusarevich, L. D. On the non-convolution transformation with the Macdonald type kernel function. (English) Zbl 1032.44003 Fract. Calc. Appl. Anal. 1, No. 3, 297-309 (1998). MSC: 44A15 × Cite Format Result Cite Review PDF
Lukashenko, T. P. Generalized expansion systems similar to orthogonal ones. (English. Russian original) Zbl 1029.42024 Mosc. Univ. Math. Bull. 53, No. 4, 4-8 (1998); translation from Vestn. Mosk. Univ., Ser. I 1998, No. 4, 6-10 (1998). Reviewer: L.N.Chernetskaja (Kyïv) MSC: 42C15 47A70 × Cite Format Result Cite Review PDF
Corduneanu, Silvia-Otilia Some properties of the pseudo almost periodic functions on locally compact groups. (English) Zbl 0996.43010 An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 44, No. 1, 113-124 (1998). MSC: 43A60 × Cite Format Result Cite Review PDF
Arsen’ev, A. A. Estimation of the imaginary part of the scattering matrix pole for the three-dimensional Schrödinger equation with a trap potential. (English. Russian original) Zbl 0946.35056 Theor. Math. Phys. 114, No. 2, 215-219 (1998); translation from Teor. Mat. Fiz. 114, No. 2, 271-276 (1998). MSC: 35P25 35J10 81U20 × Cite Format Result Cite Review PDF Full Text: DOI
Gavrilov, V. V. Relationships among the generalized Fourier images corresponding to an one-dimensional Schrödinger operator with integrability degree \(p\), \(1\leq p<2,\) of the expanded function. (English. Russian original) Zbl 0912.34073 Differ. Equations 33, No. 6, 745-751 (1997); translation from Differ. Uravn. 33, No. 6, 741-747 (1997). Reviewer: V.Chernyatin (Szczecin) MSC: 34L40 34L05 47E05 × Cite Format Result Cite Review PDF
Lukashenko, T. P. Orthosimilar nonnegative expansion systems. (English. Russian original) Zbl 0914.47022 Mosc. Univ. Math. Bull. 52, No. 5, 30-34 (1997); translation from Vestn. Mosk. Univ., Ser. I 1997, No. 5, 27-31 (1997). Reviewer: A.Yu.Obolenskij (Kyïv) MSC: 47A63 × Cite Format Result Cite Review PDF
Lukashenko, T. P. Coefficients with respect to orthogonal-like decomposition systems. (English. Russian original) Zbl 0912.42015 Sb. Math. 188, No. 12, 57-72 (1997); translation from Mat. Sb. 188, No. 12, 1783-1798 (1997). Reviewer: B.Rubin (Jerusalem) MSC: 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Lukashenko, T. P. Systems of expansions similar to orthogonal systems. (Russian. English summary) Zbl 0918.42024 Fundam. Prikl. Mat. 3, No. 2, 487-517 (1997). Reviewer: A.Martínez Finkelshtein (Almeria) MSC: 42C15 × Cite Format Result Cite Review PDF
Kheifets, Alexander Hamburger moment problem: Parseval equality and \(A\)-singularity. (English) Zbl 0917.47015 J. Funct. Anal. 141, No. 2, 374-420 (1996). Reviewer: A.Bultheel (Leuven) MSC: 47A57 30E05 × Cite Format Result Cite Review PDF Full Text: DOI
Darwish, A. A. On a direct and inverse scattering problem for a boundary value problem with discontinuous coefficient. (English) Zbl 0852.47003 N. Z. J. Math. 25, No. 1, 1-14 (1996). MSC: 47A40 47A75 47A70 81U40 × Cite Format Result Cite Review PDF
Aleksandrov, V. A. Geometry of inner product spaces. Methodical textbook. (Geometriya prostranstv so skalyarnym proizvedeniem. Metodicheskoe posobie.) (Russian) Zbl 0849.46014 Novosibirsk: Novosibirskij Gosudarstvennyj Universitet, 48 p. (1995). Reviewer: V.A.Aleksandrov (Novosibirsk) MSC: 46C05 46-01 × Cite Format Result Cite Review PDF
Zhuk, V. V. Approximation of functions in the space \(C(\mathbb{R})\). Parseval-type equality. (Russian) Zbl 1026.42500 Dem’yanov, V. F. (ed.), Mathematical questions of the analysis of nonsmooth models. Sankt-Peterburg: Izdatel’stvo S.-Peterburgskogo Universiteta. Vopr. Mekh. Protsessov Upr. 16, 105-118, 250-251 (1995). MSC: 42A10 41A30 41A50 × Cite Format Result Cite Review PDF
Zhuk, V. V.; Vinogradov, O. L. Generalization of the Parseval equality in the multidimensional case. (English. Russian original) Zbl 0882.42005 Vestn. St. Petersbg. Univ., Math. 28, No. 1, 17-23 (1995); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1995, No. 1, 22-28 (1995). MSC: 42B05 42B08 × Cite Format Result Cite Review PDF
Zhuk, V. V.; Vinogradov, O. L. Parseval type equalities and some of their applications. (English. Russian original) Zbl 0879.42003 Dokl. Math. 51, No. 2, 265-267 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 341, No. 6, 737-739 (1995). MSC: 42A16 42A10 × Cite Format Result Cite Review PDF
Konyushkov, A. A. Fourier coefficients of functions from the classes \(B\) and \(C\). Parseval equality for the class \(C\) or for the Fourier-Stieltjes series. (English. Russian original) Zbl 0812.42002 Ukr. Math. J. 45, No. 10, 1636-1643 (1993); translation from Ukr. Mat. Zh. 45, No. 10, 1455-1460 (1993). MSC: 42A16 × Cite Format Result Cite Review PDF Full Text: DOI
Geit, V. E. A criterion for satisfying Parseval’s equality with a bounded and a summable function. (English. Russian original) Zbl 0814.42003 Russ. Math. 36, No. 7, 7-9 (1992); translation from Izv. Vyssh. Uchebn. Zaved., Mat, 1992, No. 7(362), 9-11 (1992). Reviewer: A.B.Németh (Cluj-Napoca) MSC: 42A16 × Cite Format Result Cite Review PDF
Yakimov, A. V. The function and methods of its analysis in higher mathematics. Textbook. (Funktsiya i metody ee analiza v vysshej matematike. Uchebnoe posobie.) (Russian) Zbl 0818.26001 Nizhnij Novgorod: Izdatel’stvo Nizhegorodskogo Universiteta Im. N. I. Lobachevskogo, 164 p. (1991). Reviewer: E.Alsynbaeva (Alma-Ata) MSC: 26-01 00A06 × Cite Format Result Cite Review PDF
Vajnerman, L. I. Hypercomplex systems and finite-difference operators. (English. Russian original) Zbl 0790.47024 Sel. Math. 12, No. 1, 49-56 (1993); translation from Metody funktional’nogo analiza v zadachakh matematicheskoǐ fiziki, Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev 1990, 42-50 (1990). Reviewer: C.Udrişte (Bucureşti) MSC: 47B39 47A70 43A99 × Cite Format Result Cite Review PDF
Konyushkov, A. A. On the Parseval equality. (English. Russian original) Zbl 0724.42007 Sib. Math. J. 31, No. 5, 850-852 (1990); translation from Sib. Mat. Zh. 31, No. 5(183), 178-181 (1990). MSC: 42A16 42A24 × Cite Format Result Cite Review PDF Full Text: DOI
Konyushkov, A. A. On Parseval’s equality. (Russian) Zbl 0716.42003 Sib. Mat. Zh. 31, No. 5(183), 178-181 (1990). Reviewer: B.Crstici MSC: 42A16 42A24 × Cite Format Result Cite Review PDF
Bekker, M. B. Isometric operators with directing mappings. (Russian) Zbl 0798.47010 Mitropol’skij, Yu. A. (ed.), Current analysis and its applications. Kiev: Naukova Dumka. 3-9 (1989). MSC: 47B15 × Cite Format Result Cite Review PDF
Darwish, A. A. On the scattering data for a boundary value problem on the half line. (English) Zbl 0724.34092 J. Math., Punjab Univ. 22, 1-18 (1989). Reviewer: I.Ginchev (Varna) MSC: 34L25 34L10 34B24 × Cite Format Result Cite Review PDF
Misiak, Aleksander Orthogonality and orthonormality in n-inner product spaces. (English) Zbl 0708.46025 Math. Nachr. 143, 249-261 (1989). Reviewer: I.Vidav MSC: 46C50 46A70 × Cite Format Result Cite Review PDF Full Text: DOI
Martirosyan, V. M. Fourier transforms in weighted \(L_ 2(R)\). (Russian) Zbl 0697.42008 Dokl., Akad. Nauk Arm. SSR 88, No. 1, 8-11 (1989). Reviewer: A.Precupanu MSC: 42A38 × Cite Format Result Cite Review PDF
Ajzenberg, I. B. The summation of some series of fourth powers of Bessel functions. (English. Russian original) Zbl 0678.40001 J. Sov. Math. 46, No. 6, 2271-2276 (1989); translation from Issled. Prikl. Mat. 9, 142-149 (1981). MSC: 40A05 × Cite Format Result Cite Review PDF Full Text: DOI
Dinh-Dung On a linear program in the space of Borel measures and the problem of exact inequalities for derivatives. (English) Zbl 0711.49057 Acta Math. Vietnam. 13, No. 2, 137-145 (1988). MSC: 49N15 49J27 × Cite Format Result Cite Review PDF
Vu Kim Tuan New classes of integral transforms with respect to an index. (English. Russian original) Zbl 0688.44004 Sov. Math., Dokl. 37, No. 2, 317-321 (1988); translation from Dokl. Akad. Nauk SSSR 299, No. 1, 30-35 (1988). Reviewer: H.-J.Glaeske MSC: 44A15 × Cite Format Result Cite Review PDF
Babasyan, S. V.; Khachatryan, I. G. Fourier expansion by means of a minimal system of generalized eigenfunctions of a self-adjoint differential operator. (Russian) Zbl 0681.34029 Dokl., Akad. Nauk Arm. SSR 87, No. 3, 111-114 (1988). Reviewer: B.Crstici MSC: 34L99 42A38 × Cite Format Result Cite Review PDF
Isaev, G. A. On singular multiparameter differential operators, expansion theorems. (English) Zbl 0631.34029 Math. USSR, Sb. 59, No. 1, 53-73 (1988). MSC: 34L99 35P15 47A70 × Cite Format Result Cite Review PDF Full Text: DOI
Kheĭfets, A. Ya. Parseval’s equality in the abstract interpolation problem and the union of open systems. II. (English. Russian original) Zbl 0772.41003 J. Sov. Math. 49, No. 6, 1307-1310 (1990); translation from Teor. Funkts., Funkts. Anal. Prilozh. 50, 98-103 (1988). MSC: 41A05 47A57 47A48 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Xiechang A remark on two theorems of Musoyan. (English) Zbl 0657.42010 Approximation Theory Appl. 3, No. 2-3, 84-90 (1987). Reviewer: L.Goras MSC: 42A38 42C15 × Cite Format Result Cite Review PDF
Cattaneo, Gianpiero; Franco, Gennaro; Marino, Guiseppe Ordering on families of subspaces of pre-Hilbert spaces and Dacey pre- Hilbert spaces. (English) Zbl 0637.46025 Boll. Unione Mat. Ital., VII. Ser., B 1, 167-183 (1987). Reviewer: H.Yamagata MSC: 46C99 × Cite Format Result Cite Review PDF
Kruopis, Yu. Precision of approximation of the generalized binomial distribution by convolutions of Poisson measures. (English. Russian original) Zbl 0631.60019 Lith. Math. J. 26, 37-49 (1986); translation from Lit. Mat. Sb. 26, No. 1, 53-69 (1986). Reviewer: S.K.Basu MSC: 60F05 60E15 × Cite Format Result Cite Review PDF Full Text: DOI