We derive a sampling theorem associated with first order self-adjoint eigenvalue problem with a finite rank perturbation. The class of the sampled integral transforms is of finite Fourier type where the kernel has an additional perturbation.
http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
https://www.riss.kr/link?id=A103364950
Mahmoud H. Annaby (Cairo University) ; Omar H. El-Haddad (Cairo University) ; Hassan A. Hassan (Cairo University)
2016
English
KCI등재,SCIE,SCOPUS
학술저널
969-990(22쪽)
0
0
상세조회0
다운로드다국어 초록 (Multilingual Abstract)
We derive a sampling theorem associated with first order self-adjoint eigenvalue problem with a finite rank perturbation. The class of the sampled integral transforms is of finite Fourier type where the kernel has an additional perturbation.
We derive a sampling theorem associated with first order self-adjoint eigenvalue problem with a finite rank perturbation. The class of the sampled integral transforms is of finite Fourier type where the kernel has an additional perturbation.
참고문헌 (Reference)
1 J. A. Cochran, "The Analysis of Linear Integral Equations" McGraw-Hill 1972
2 W. N. Everitt, "Sturm-Liouville problems with coupled boundary conditions and Lagrange interpolation series II" 20 : 199-238, 2000
3 W. N. Everitt, "Sturm-Liouville problems with coupled boundary conditions and Lagrange interpolation series" 1 (1): 319-347, 1999
4 P. L. Butzer, "Sampling theorems associated with fourth and higher order self-adjoint eigenvalue problems" 51 (51): 159-177, 1994
5 J. R. Higgins, "Sampling Theorey in Fourier and Signal Analysis: Foundations" Oxford University Press 1996
6 M. H. Annaby, "Perturbed discrete Sturm-Liouville problems and associated sampling theorems" 39 (39): 1781-1807, 2009
7 M. H. Annaby, "On the use of Green’s function in sampling theory" 10 (10): 117-139, 1998
8 E. Whittaker, "On the functions which are represented by the expansion of the interpolation theory" 35 : 181-194, 1915
9 V. Kotel’nikov, "On the carrying capacity of the ether and wire in telecommunications" 1933
10 M. H. Annaby, "On sampling theory associated with the resolvents of singular SturmLiouville problems" 131 (131): 1803-1812, 2003
1 J. A. Cochran, "The Analysis of Linear Integral Equations" McGraw-Hill 1972
2 W. N. Everitt, "Sturm-Liouville problems with coupled boundary conditions and Lagrange interpolation series II" 20 : 199-238, 2000
3 W. N. Everitt, "Sturm-Liouville problems with coupled boundary conditions and Lagrange interpolation series" 1 (1): 319-347, 1999
4 P. L. Butzer, "Sampling theorems associated with fourth and higher order self-adjoint eigenvalue problems" 51 (51): 159-177, 1994
5 J. R. Higgins, "Sampling Theorey in Fourier and Signal Analysis: Foundations" Oxford University Press 1996
6 M. H. Annaby, "Perturbed discrete Sturm-Liouville problems and associated sampling theorems" 39 (39): 1781-1807, 2009
7 M. H. Annaby, "On the use of Green’s function in sampling theory" 10 (10): 117-139, 1998
8 E. Whittaker, "On the functions which are represented by the expansion of the interpolation theory" 35 : 181-194, 1915
9 V. Kotel’nikov, "On the carrying capacity of the ether and wire in telecommunications" 1933
10 M. H. Annaby, "On sampling theory associated with the resolvents of singular SturmLiouville problems" 131 (131): 1803-1812, 2003
11 M. A. Naimark, "Linear Differential Operators. Part I: Elementary Theory of Linear Differential Operators" George Harrap 1967
12 W. N. Everitt, "Kramer analytic kernels and first-order boundary value problems" 148 (148): 22-47, 2002
13 I. Stakgold, "Green’s Functions and Boundary Value Problems" John Wiley 1987
14 A. H. Haddad, "General methods for the derivation of sampling theorems" 13 : 227-230, 1967
15 R. Paley, "Fourier Transforms in the Complex Domain Vol 19" Amer. Math. Soc. Colloquium Publ. Ser 1934
16 P. L. Butzer, "Fourier Analysis and Approximation" Birhkh¨auser 1971
17 R. Boas, "Entire Functions" Academic Press 1954
18 M. H. Annaby, "Discontinuous boundary-value problems:Expansion and sampling theorems" 16 (16): 1-23, 2004
19 C. Shannon, "Communication in the presence of noise" 37 : 10-21, 1949
20 L. O. Silva, "Bounded rank-one perturbations in sampling theory" 345 (345): 661-669, 2008
21 I. Gohberg, "Basic Operator Theory" Birkh¨auser 1980
22 P. L. Butzer, "An introduction to sampling analysis" Kluwer/Plenum 17-121, 2001
23 A. I. Zayed, "Advances in Shannon’s Sampling Theory" CRC 1993
24 M. H. Annaby, "A sampling theorem associated with boundary-value problems with not necessarily simple eigenvalues" 21 (21): 571-580, 1998
25 M. H. Annaby, "A perturbed Whittaker-Kotel’nikov-Shannon sampling theorem" 381 (381): 64-79, 2011
26 L. L. Campbell, "A comparison of the sampling theorems of Kramer and Whittaker" 12 : 117-130, 1964
27 E. A. Catchpole, "A Cauchy problem for an ordinary integro-differential equation" 72 (72): 39-55, 1974
SAMPLING THEOREMS ASSOCIATED WITH DIFFERENTIAL OPERATORS WITH FINITE RANK PERTURBATIONS
REGULARITY FOR FRACTIONAL ORDER RETARDED NEUTRAL DIFFERENTIAL EQUATIONS IN HILBERT SPACES
학술지 이력
연월일 | 이력구분 | 이력상세 | 등재구분 |
---|---|---|---|
2023 | 평가예정 | 해외DB학술지평가 신청대상 (해외등재 학술지 평가) | |
2020-01-01 | 평가 | 등재학술지 유지 (해외등재 학술지 평가) | |
2010-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2008-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2006-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2004-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2001-07-01 | 평가 | 등재학술지 선정 (등재후보2차) | |
1999-01-01 | 평가 | 등재후보학술지 선정 (신규평가) |
학술지 인용정보
기준연도 | WOS-KCI 통합IF(2년) | KCIF(2년) | KCIF(3년) |
---|---|---|---|
2016 | 0.4 | 0.14 | 0.3 |
KCIF(4년) | KCIF(5년) | 중심성지수(3년) | 즉시성지수 |
0.23 | 0.19 | 0.375 | 0.03 |