Absolute and uniform convergence of eigenfunction expansions of integral operators with kernels admitting derivative discontinuities on the diagonals

V. V. Kornev

doi:10.1134/s0001434607050094

Absolute and uniform convergence of eigenfunction expansions of integral operators with kernels admitting derivative discontinuities on the diagonals

Mathematical Notes ◽

10.1134/s0001434607050094 ◽

2007 ◽

Vol 81 (5-6) ◽

pp. 638-648

Author(s):

V. V. Kornev

Keyword(s):

Uniform Convergence ◽

Integral Operators ◽

Eigenfunction Expansions

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Uniform convergence with rates for smooth Poisson–Cauchy-type singular integral operators

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2009.10.001 ◽

2009 ◽

Vol 50 (11-12) ◽

pp. 1553-1570 ◽

Cited By ~ 4

Author(s):

George A. Anastassiou ◽

Razvan A. Mezei

Keyword(s):

Uniform Convergence ◽

Singular Integral ◽

Integral Operators ◽

Singular Integral Operators ◽

Cauchy Type

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Uniform convergence of multiparameter eigenfunction expansions

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(90)90352-g ◽

1990 ◽

Vol 147 (2) ◽

pp. 340-350 ◽

Cited By ~ 7

Author(s):

Bryan P. Rynne

Keyword(s):

Uniform Convergence ◽

Eigenfunction Expansions

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Global Smoothness Preservation and Uniform Convergence of Singular Integral Operators in the Fuzzy Sense

Intelligent Mathematics: Computational Analysis - Intelligent Systems Reference Library ◽

10.1007/978-3-642-17098-0_31 ◽

2011 ◽

pp. 487-501

Author(s):

George A. Anastassiou

Keyword(s):

Uniform Convergence ◽

Singular Integral ◽

Integral Operators ◽

Singular Integral Operators ◽

Global Smoothness Preservation ◽

Global Smoothness

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Uniform convergence with rates of smooth Gauss–Weierstrass singular integral operators

Applicable Analysis ◽

10.1080/00036810903114809 ◽

2009 ◽

Vol 88 (7) ◽

pp. 1015-1037 ◽

Cited By ~ 6

Author(s):

George A. Anastassiou ◽

Razvan A. Mezei

Keyword(s):

Uniform Convergence ◽

Singular Integral ◽

Integral Operators ◽

Singular Integral Operators

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Uniform convergence of the eigenfunction expansions associated with the bi-harmonic operator on the closed domain

10.1063/1.5041654 ◽

2018 ◽

Author(s):

Abdumalik Rakhimov ◽

Siti Nor Aini Mohd Aslam

Keyword(s):

Uniform Convergence ◽

Closed Domain ◽

Eigenfunction Expansions

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Quantitative Uniform Convergence of Smooth Picard Singular Integral Operators

Intelligent Mathematics: Computational Analysis - Intelligent Systems Reference Library ◽

10.1007/978-3-642-17098-0_10 ◽

2011 ◽

pp. 115-136

Author(s):

George A. Anastassiou

Keyword(s):

Uniform Convergence ◽

Singular Integral ◽

Integral Operators ◽

Singular Integral Operators

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Absolute convergence of eigenfunction expansions of integral operators with kernels admitting discontinuities of derivatives on diagonals

Journal of Mathematical Sciences ◽

10.1007/s10958-007-0233-z ◽

2007 ◽

Vol 144 (1) ◽

pp. 3804-3814

Author(s):

V. V. Kornev ◽

A. P. Khromov

Keyword(s):

Absolute Convergence ◽

Integral Operators ◽

Eigenfunction Expansions

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Uniform Convergence of the Eigenfunction Expansions of Distributions Associated with the Polyharmonic Operator on Closed Domain

Journal of Physics Conference Series ◽

10.1088/1742-6596/949/1/012024 ◽

2017 ◽

Vol 949 ◽

pp. 012024 ◽

Cited By ~ 2

Author(s):

Abdumalik Rakhimov ◽

Siti Nor Aini Mohd Aslam

Keyword(s):

Uniform Convergence ◽

Closed Domain ◽

Polyharmonic Operator ◽

Eigenfunction Expansions

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Summability of eigenfunction expansions of differential and integral operators

Mathematical Notes ◽

10.1007/bf01209561 ◽

1993 ◽

Vol 54 (3) ◽

pp. 951-956 ◽

Cited By ~ 2

Author(s):

I. Yu. Trushin

Keyword(s):

Integral Operators ◽

Eigenfunction Expansions

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Necessary Conditions for the Uniform Convergence and Abel-Summability of Eigenfunction Expansions with Irregular Ordinary Differential Bundles

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/221 ◽

1986 ◽

Vol 5 (6) ◽

pp. 543-553 ◽

Cited By ~ 1

Author(s):

Gerhard Freiling

Keyword(s):

Uniform Convergence ◽

Necessary Conditions ◽

Eigenfunction Expansions ◽

Abel Summability

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