Integral Representations for a Generalized Cauchy–Riemann System with Singular Coefficients

Journal of Mathematical Sciences ◽

10.1007/s10958-015-2442-1 ◽

2015 ◽

Vol 208 (2) ◽

pp. 247-252 ◽

Author(s):

A. B. Rasulov

Keyword(s):

Integral Representations ◽

Singular Coefficients ◽

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On a class of nonlinear generalized Cauchy–Riemann systems with singular coefficients

Differential Equations ◽

10.1134/s0012266115090141 ◽

2015 ◽

Vol 51 (9) ◽

pp. 1243-1247

Author(s):

B. Sharipov

Keyword(s):

Singular Coefficients ◽

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Integral Representations for the Generalized Cauchy-Riemann Equation with a Supersingular Point in a Half Plane

Vestnik MEI ◽

10.24160/1993-6982-2020-1-105-108 ◽

2020 ◽

Vol 1 (1) ◽

pp. 105-108

Author(s):

Abdurauf B. Rasulov ◽

◽

Irina N. Dorofeeva ◽

Keyword(s):

Integral Representations ◽

Riemann Equation ◽

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Integral representations on Hermitian manifolds: the $\bar \partial $-Neumann solution of the Cauchy-Riemann equations

Bulletin of the American Mathematical Society ◽

10.1090/s0273-0979-1984-15305-9 ◽

1984 ◽

Vol 11 (2) ◽

pp. 355-359 ◽

Author(s):

Ingo Lieb ◽

R. Michael Range

Keyword(s):

Integral Representations ◽

Hermitian Manifolds ◽

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Dirichlet problems for generalized Cauchy–Riemann systems with singular coefficients

Complex Variables Theory and Application An International Journal ◽

10.1080/02781070500087196 ◽

2005 ◽

Vol 50 (7-11) ◽

pp. 653-672 ◽

Author(s):

Michael Reissig ◽

Alexei Timofeev

Keyword(s):

Dirichlet Problems ◽

Singular Coefficients ◽

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Integral representations and the linear conjugation problem for a generalized cauchy-riemann system with a singular manifold

Differential Equations ◽

10.1007/bf02754217 ◽

2000 ◽

Vol 36 (2) ◽

pp. 306-312

Author(s):

A. B. Rasulov

Keyword(s):

Integral Representations ◽

Conjugation Problem ◽

Linear Conjugation ◽

Linear Conjugation Problem ◽

Singular Manifold ◽

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Integral representations of differential forms on Cauchy-Riemann manifolds and the theory of CR-functions

Russian Mathematical Surveys ◽

10.1070/rm1984v039n03abeh003163 ◽

1984 ◽

Vol 39 (3) ◽

pp. 41-118 ◽

Author(s):

R A Airapetyan ◽

G M Khenkin

Keyword(s):

Differential Forms ◽

Integral Representations ◽

Cr Functions ◽

Riemann Manifolds ◽

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Boundary value problem for a generalized Cauchy–Riemann equation with singular coefficients

Differential Equations ◽

10.1134/s0012266116050086 ◽

2016 ◽

Vol 52 (5) ◽

pp. 616-629 ◽

Author(s):

A. B. Rasulov ◽

A. P. Soldatov

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Riemann Equation ◽

Singular Coefficients ◽

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INTEGRAL REPRESENTATIONS OF DIFFERENTIAL FORMS ON CAUCHY-RIEMANN MANIFOLDS AND THE THEORY OF CR-FUNCTIONS. II

Mathematics of the USSR-Sbornik ◽

10.1070/sm1986v055n01abeh002993 ◽

1986 ◽

Vol 55 (1) ◽

pp. 91-111 ◽

Author(s):

R A Aĭrapetyan ◽

G M Khenkin

Keyword(s):

Differential Forms ◽

Integral Representations ◽

Cr Functions ◽

Riemann Manifolds ◽

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SOME BOUNDARY VALUE PROBLEMS FOR THE CAUCHY-RIEMANN EQUATION IN HALF LENS

Eurasian Mathematical Journal ◽

10.32523/2077-9879-2018-9-3-73-84 ◽

2018 ◽

Vol 9 (3) ◽

pp. 73-84

Author(s):

N. Taghizadeh ◽

◽

V. Soltani Mohammadi ◽

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Riemann Equation ◽

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Heat kernel asymptotics, local index theorem and trace integrals for Cauchy-Riemann manifolds with S1 action

Mémoires de la Société mathématique de France ◽

10.24033/msmf.470 ◽

2019 ◽

Vol 162 ◽

pp. 1-140 ◽

Author(s):

Jin-Hsin Cheng ◽

Chin-Yu Hsiao ◽

I-Hsun Tsai

Keyword(s):

Heat Kernel ◽

Index Theorem ◽

Local Index ◽

Riemann Manifolds ◽

Heat Kernel Asymptotics ◽

Local Index Theorem ◽

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