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1.
This is a brief survey of M. G. Krein's contribution to the theory of self-adjoint extensions of Hermitian operators and to the theory of boundary-value problems for differential equations. The further development of these results is also considered.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, Nos. 1–2, pp. 55–62, January–February, 1994. 相似文献
2.
This paper deals with multivariate Fourier series considering triangular type partial sums. Among others we give the exact order of the corresponding operator norm. Moreover, a generalization of the so-called Faber–Marcinkiewicz–Berman theorem has been proved. 相似文献
3.
I. M. Krichever 《Functional Analysis and Its Applications》1994,28(1):21-32
Landau Institute for Theoretical Physics. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 28, No. 1, pp. 26–40, January–March, 1994. 相似文献
4.
Translated fromSibirskii Matematicheskii Zhurnal, Vol. 35, No. 4, pp. 719–727, July–August, 1994. 相似文献
5.
We prove that the kernels of the Baskakov–Durrmeyer and the Szász–Mirakjan–Durrmeyer operators are completely monotonic functions. We establish a Bernstein type inequality for these operators and apply the results to the quasi-interpolants recently introduced by Abel. For the Baskakov–Durrmeyer quasi-interpolants, we give a representation as linear combinations of the original Baskakov–Durrmeyer operators and prove an estimate of Jackson–Favard type and a direct theorem in terms of an appropriate K-functional. 相似文献
6.
P. A. Kozhukhar’ 《Functional Analysis and Its Applications》1991,25(3):227-228
V. I. Lenin Moldavian State University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 25, No. 3, pp. 78–80, July–September, 1991. 相似文献
7.
Translated fromSibirskii Matematicheskii Zhurnal, Vol. 36, No. 4, pp. 828–841, July–August, 1995. 相似文献
8.
A. G. Baskakov 《Siberian Mathematical Journal》1991,32(3):370-375
Voronezh. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 32, No. 3, pp. 24–30, May–June, 1991. 相似文献
9.
R. R. Akhmerov M. I. Kamenskii A. S. Potapov B. N. Sadovskii 《Journal of Mathematical Sciences》1982,18(4):551-592
This paper is devoted to a survey of the current state of the theory of measures of noncompactness and condensing operators.Translated from Itogi Nauki i Tekhniki, Seriya Matematicheskii Analiz, Vol. 18, pp. 185–250, 1980. 相似文献
10.
K. Kh. Boimatov 《Functional Analysis and Its Applications》1992,26(1):42-44
Mathematics Institute Computing Center, Academy of Sciences of the Tadzhik Soviet Socialist Republic. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 26, No. 1, pp. 54–56, January–March, 1992. 相似文献
11.
G. V. Demidenko 《Siberian Mathematical Journal》1994,35(1):37-61
Translated fromSibirskii Matematicheskii Zhurnal, Vol. 35, No. 1, pp. 41–65, January–February, 1994. 相似文献
12.
Scientific, Technical, and Designing Union Lensistemotekhnika. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 26, No. 2, pp. 55–57, April–June, 1992. 相似文献
13.
A. P. Khromov 《Mathematical Notes》1968,3(6):456-459
Sufficient conditions are established forf (x) to be the generating function for the Volterra operator which is inverse to the Cauchy operator:l [y]=y(n)+p2(x)y(n–2) + ... +pn(x)y, y(0)=y(0)=...=y(n–1)(0)=0 (n=3, 4), when the coefficients pi(x) are not analytic.Translated from Matematicheskie Zametki, Vol. 3, No. 6, pp. 715–720, June, 1968. 相似文献
14.
V. B. Korotkov 《Siberian Mathematical Journal》1993,34(2):276-279
Novosibirsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 34, No. 2, pp. 88–91, March–April, 1993. 相似文献
15.
I. E. Troyanovskii 《Mechanics of Composite Materials》1973,9(6):979-981
A method of calculating the integral operators of viscoelasticity from arbitrary continuous functions is proposed for the case where the relaxation (creep) function is given in tabulated or graphic form. The problem of constructing the creep function from an experimentally known relaxation function is solved.Moscow Institute of Electronic Machine Building. Translated from Mekhanika Polimerov, No. 6, pp. 1115–1117, November–December, 1973. 相似文献
16.
G. V. Demidenko 《Siberian Mathematical Journal》1993,34(6):1044-1058
Novosibirsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 34, No. 6, pp. 52–67, November–December, 1993. 相似文献
17.
We describe the class of operators in a Hilbert space H, introduced by A. I. Perov, which can be represented in the form Ax = D(x)x, where D(x) is a self-conjugate operator satisfying the inequalities B–D(x) B+ (B– and B+ are fixed self-conjugate operators). As an application we obtain new theorems on the solvability of Hammerstein's equation.Translated from Matematicheskie Zametki, Vol. 12, No. 4, pp. 453–464, October, 1972. 相似文献
18.
We present an intrinsically defined algebra of operators containing the right and left invariant Calderón–Zygmund operators on a stratified group. The operators in our algebra are pseudolocal and bounded on Lp (1<p<∞). This algebra provides an example of an algebra of singular integrals that falls outside of the classical Calderón–Zygmund theory. 相似文献
19.
V. M. Tyurin 《Siberian Mathematical Journal》1991,32(3):485-490
Lipetsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 32, No. 3, pp. 160–165, May–June, 1991. 相似文献
20.
V. B. Korotkov 《Mathematical Notes》1974,16(6):1137-1140
It is shown that a strong integral (strong B-integral) operator in L2 is a Hilbert-Schmidt (nuclear) operator.Translated from Matematicheskie Zametki, Vol. 16, No. 6, pp. 907–912, December, 1974. 相似文献