Changes of variable for the Riemann integral on the real line. (English) Zbl 07928829
MSC:
26A42
Found 3,805 Documents (Results 1–100)
On the uniform convergence and integrability of special trigonometric integrals. (English) Zbl 07926893
Existence and asymptotic behavior of mild solutions for fractional measure differential equations. (English) Zbl 07922827
Donoho-Stark and Price uncertainty principles for a class of \(q\)-integral transforms with bounded kernels. (English) Zbl 07920513
Rigorous computation of solutions of semilinear PDEs on unbounded domains via spectral methods. (English) Zbl 07906729
Fourier-Feynman transforms of cylinder functionals combining Gaussian paths on Wiener space. (English) Zbl 07901586
Generalized Fourier-Feynman transform of bounded cylinder functions on the function space \(C_{a, b}[0, T]\). (English) Zbl 07894338
Laisant-type integration formulas. (Fórmulas de integración de tipo Laisant.) (Spanish) Zbl 07889285
MSC:
26A42
On Banach spaces of regulated functions of several variables. Analogue of the Riemann-Stieltjes integral. (Russian. English summary) Zbl 07879976
Uniform estimates for oscillatory integrals with smooth phase. (Russian. English summary) Zbl 1543.42021
On maximal operators associated with singular hypersurfaces. (English. Russian original) Zbl 1541.42019
Russ. Math. 68, No. 1, 61-68 (2024); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2024, No. 1, 69-76 (2024).
Generalization of Ostrowski’s type inequality via Riemann-Liouville fractional integral and applications in numerical integration, probability theory and special means. (English) Zbl 07851863
Some theoretical results on fractional-order continuous information measures. (English) Zbl 1540.94044
Reviewer: Jaak Henno (Tallinn)
Arzelà’s bounded convergence theorem. (English) Zbl 07845440
MSC:
26A42
Existence of solutions for a fractional Riemann-Stieltjes integral boundary value problem. (English) Zbl 07843108
On a \((k, \chi)\)-Hilfer fractional system with coupled nonlocal boundary conditions including various fractional derivatives and Riemann-Stieltjes integrals. (English) Zbl 07843105
Reviewer: Mohamed Ziane (Tiaret)
Sharp \(L^p\)-estimates for the Fourier transform of surface measures. (English. Russian original) Zbl 1542.42006
Math. Notes 115, No. 1, 44-65 (2024); translation from Mat. Zametki 115, No. 1, 51-77 (2024).
Reviewer: Elijah Liflyand (Ramat-Gan)
Existence and multiplicity of solutions of Stieltjes differential equations via topological methods. (English) Zbl 07827520
Reviewer: Bianca-Renata Satco (Suceava)
On the combination of Lebesgue and Riemann integrals in theory of convolution equations. (English. Russian original) Zbl 1533.45001
Theor. Math. Phys. 218, No. 1, 68-74 (2024); translation from Teor. Mat. Fiz. 218, No. 1, 80-87 (2024).
A family of fractal Fourier restriction estimates with implications on the Kakeya problem. (English) Zbl 1540.42023
Reviewer: Hussain Al-Qassem (Doha)
Sharp \(L^p\) decay estimates for degenerate and singular oscillatory integral operators: homogeneous polynomial phases. (English) Zbl 1535.42030
Variation type characterization of product Hardy spaces. (English) Zbl 1535.42013
Reviewer: Ferit Gürbüz (Kırklareli)
Integral transforms suitable for solving fractional differential equations. (English) Zbl 1534.42006
Compactness criteria for Stieltjes function spaces and applications. (English) Zbl 07812542
Reviewer: Piotr Sworowski (Bydgoszcz)
A note on convergence theorems for the Henstock-Kurzweil integral in Euclidean space. (English) Zbl 07811201
Refinements of the 2-dimensional Strichartz estimate on the maximum wave packet. (English) Zbl 1533.42018
Guo, Shaoming (ed.) et al., Recent developments in harmonic analysis and its applications. AMS special session on harmonic analysis, lvirtual, March 26–27, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 792, 147-170 (2024).
Reviewer: Changxing Miao (Beijing)
Recent developments in harmonic analysis and its applications. AMS special session on harmonic analysis, lvirtual, March 26–27, 2022. (English) Zbl 1531.11004
Contemporary Mathematics 792. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7140-8/pbk; 978-1-4704-7605-2/ebook). vii, 170 p. (2024).
Weierstrass polynomials in estimates of oscillatory integrals. (English. Russian original) Zbl 1532.42005
J. Math. Sci., New York 278, No. 3, 439-462 (2024); translation from Sovrem. Mat., Fundam. Napravl. 67, No. 4, 668-692 (2022).
Semigroups of operators generated by integro-differential equations with kernels representable by Stieltjes integrals. (English. Russian original) Zbl 1532.45014
J. Math. Sci., New York 278, No. 2, 287-305 (2024); translation from Sovrem. Mat., Fundam. Napravl. 67, No. 3, 507-525 (2021).
Maximal polynomial modulations of singular Radon transforms. (English) Zbl 1533.42019
Reviewer: Krzysztof Stempak (Wrocław)
Generalized chain rules and applications to Stieltjes differential and integral equations. (English) Zbl 07797049
Fractional Riesz-Feller type derivative for the one dimensional Dunkl operator and Lipschitz condition. (English) Zbl 1541.26018
Improper Riemann integrals. 2nd edition. (English) Zbl 1539.26003
Boca Raton, FL: CRC Press (ISBN 978-1-032-55798-4/hbk; 978-1-032-56035-9/pbk; 978-1-003-43347-7/ebook). xviii, 445 p. (2024).
Injectivity of sampled Gabor phase retrieval in spaces with general integrability conditions. (English) Zbl 1526.94009
Aspects of integration. Novel approaches to the Riemann and Lebesgue integrals. (English) Zbl 1529.26001
Monographs and Research Notes in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-032-48112-8/hbk; 978-1-003-38948-4/ebook). xiii, 144 p. (2024).
Fourier dimension of constant rank hypersurfaces. arXiv:2410.09711
Preprint, arXiv:2410.09711 [math.CA] (2024).
Restriction of Fractional Derivatives of the Fourier Transform. arXiv:2410.06092
Preprint, arXiv:2410.06092 [math.FA] (2024).
Generalizations of the fractional Fourier transform and their analytic properties. arXiv:2409.11201
Preprint, arXiv:2409.11201 [math.CA] (2024).
A Young-type integration on self-similar sets in intervals. arXiv:2408.15468
Preprint, arXiv:2408.15468 [math.FA] (2024).
\((P,Q)\) complex hypercontractivity. arXiv:2407.18053
Preprint, arXiv:2407.18053 [math.FA] (2024).
On regularity of mild solutions for autonomous linear retarded functional differential equations. arXiv:2407.11777
Preprint, arXiv:2407.11777 [math.DS] (2024).
WITHDRAWN: Finite Time Blowup of Integer- and Fractional-Order Time-Delayed Diffusion Equations. arXiv:2406.08777
Preprint, arXiv:2406.08777 [math.AP] (2024); retraction notice ibid.
Exact Solutions of Time-Delay Integer- and Fractional-Order Advection Equations. arXiv:2406.00897
Preprint, arXiv:2406.00897 [math.AP] (2024).
The Ross-Darboux-Stieltjes Integral. arXiv:2405.18341
Preprint, arXiv:2405.18341 [math.CA] (2024).
MSC:
26A42
Inversin of double Fourier integral of non-Lebesgue integrable bounded variation functions. arXiv:2405.12499
Preprint, arXiv:2405.12499 [math.FA] (2024).
On certain Gram matrices and their associated series. arXiv:2405.06349
Preprint, arXiv:2405.06349 [math.CA] (2024).
Convexity, Fourier transforms, and lattice point discrepancy. arXiv:2402.16636
Preprint, arXiv:2402.16636 [math.CA] (2024).
Mittag-Leffler functions in the Fourier space. arXiv:2402.05230
Preprint, arXiv:2402.05230 [math.CA] (2024).
Fourier dimension of conical and cylindrical hypersurfaces. arXiv:2401.01455
Preprint, arXiv:2401.01455 [math.CA] (2024).
Uncertainty principles of hypercomplex functions for fractional Fourier transform. (English) Zbl 1537.42004
Riemann-Stieltjes integrability of finite discontinuous functions on time scales. (English) Zbl 07832045
Weighted Fourier extension estimates and applications. (English) Zbl 1542.42029
Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 4. Sections 5–8. Berlin: European Mathematical Society (EMS). 3190-3201 (2023).
Reviewer: Ramesh Manna (Jatni)
Decoupling estimates in Fourier analysis. (English) Zbl 1535.42016
Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 2. Plenary lectures. Berlin: European Mathematical Society (EMS). 1054-1089 (2023).
Eigenvalue criteria for existence and nonexistence of positive solutions for \(\alpha\)-order fractional differential equations on the half-line \((2 <\alpha \le 3)\) with integral condition. (English) Zbl 1532.34010
Som, Tanmoy (ed.) et al., Applied analysis, optimization and soft computing. ICNAAO-2021, Varanasi, India, December 21–23, 2021. Singapore: Springer. Springer Proc. Math. Stat. 419, 183-202 (2023).
Equivalence of \(K\)-functionals and modulus of smoothness generated by a Dunkl type operator on the interval \((-1, 1)\). (English) Zbl 07811824
Duality of generalized Hardy and BMO spaces associated with singular partial differential operator. (English) Zbl 1536.42023
Reviewer: Koichi Saka (Akita)
A local trace formula for \(p\)-adic infinitesimal symmetric spaces: the case of Guo-Jacquet. (English) Zbl 1541.81088
Generalized Wiener-Hopf equations with directly Riemann integrable inhomogeneous term. (English) Zbl 07798258
Backward representation of the rough integral: an approach based on fractional calculus. (English) Zbl 07797620
Relaxation theorem for Stieltjes differential inclusions on infinite intervals. (English) Zbl 1535.34025
Reviewer: Aurelian Cernea (Bucureşti)
Linear equations with distributed Riemann-Liouville derivatives given by Stieltjes integrals and their analytic resolving families of operators. (English) Zbl 1533.34051
Variability of paths and differential equations with \(\mathrm{BV}\)-coefficients. (English) Zbl 1531.31008
Uncertainty principles for the \(q\)-Hankel-Stockwell transform. (English) Zbl 1533.05032
Ukr. Math. J. 75, No. 7, 1016-1033 (2023) and Ukr. Mat. Zh. 75, No. 7, 888-903 (2023).
Yang-Fourier transforms of Lipschitz local fractional continuous functions. (English) Zbl 1532.42003
Heat-conduction in a semi-infinite fractal bar using advanced Yang-Fourier transforms. (English) Zbl 1535.80003
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