# zbMATH — the first resource for mathematics

## Raich, Andrew S.

Compute Distance To:
 Author ID: raich.andrew-s Published as: Raich, Andrew; Raich, Andrew S.; Raich, A. S. External Links: MGP
 Documents Indexed: 41 Publications since 1998
all top 5

#### Co-Authors

 7 single-authored 9 Harrington, Phillip S. 6 Boggess, Albert 3 Hoepfner, Gustavo 2 Coacalle, Joel 2 Trần Vũ Khanh 2 Kuchment, Peter A. 2 Lanzani, Loredana 2 Muehlegger, Erich J. 2 Silva, Cesar E. 2 Tinker, Michael 2 Zhao, Wenhuan 1 Adwan, Ziad 1 Bolt, Michael 1 Capogna, Luca 1 Ha, Ly Kim 1 Kha, Minh 1 Liu, Bingyuan 1 Myers, Jeanine L. 1 Narasimhan, Balasubramanian 1 Peloso, Marco Maria 1 Straube, Emil J. 1 Touloumtzis, M. P.
all top 5

#### Serials

 6 The Journal of Geometric Analysis 4 Complex Variables and Elliptic Equations 3 Proceedings of the American Mathematical Society 2 Mathematische Zeitschrift 2 International Journal of Mathematics 2 Notices of the American Mathematical Society 2 Communications on Pure and Applied Analysis 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Annales de l’Institut Fourier 1 Colloquium Mathematicum 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Real Analysis Exchange 1 Transactions of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 Communications in Partial Differential Equations 1 Potential Analysis 1 Mathematical Research Letters 1 Advances in Differential Equations 1 The Journal of Fourier Analysis and Applications 1 Journal of Spectral Theory 1 Complex Analysis and its Synergies
all top 5

#### Fields

 27 Several complex variables and analytic spaces (32-XX) 24 Partial differential equations (35-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Operator theory (47-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 Abstract harmonic analysis (43-XX) 3 Functional analysis (46-XX) 2 Measure and integration (28-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Topological groups, Lie groups (22-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

33 Publications have been cited 186 times in 85 Documents Cited by Year
Compactness of the complex Green operator. Zbl 1157.32032
Raich, Andrew S.; Straube, Emil J.
2008
Compactness of the complex Green operator on CR-manifolds of hypersurface type. Zbl 1238.32032
Raich, Andrew
2010
Regularity results for $$\bar {\partial }_b$$ on CR-manifolds of hypersurface type. Zbl 1216.32025
Harrington, Phillip S.; Raich, Andrew
2011
Pointwise estimates for relative fundamental solutions of heat equations in $${\mathbb{R} \times \mathbb{C}}$$. Zbl 1115.32024
Raich, Andrew
2007
Closed range for $$\overline{\partial}$$ and $$\overline{\partial}_b$$ on bounded hypersurfaces in Stein manifolds. (Image fermée pour $$\overline{\partial}$$ et $$\overline{\partial}_b$$ sur les hypersurfaces bornées dans les variétés de Stein.) Zbl 1337.32053
Harrington, Phillip S.; Raich, Andrew S.
2015
Heat equations in $$\mathbb {R} \times \mathbb {C}$$. Zbl 1106.32029
Raich, Andrew S.
2006
An Aronsson type approach to extremal quasiconformal mappings. Zbl 1291.30145
Capogna, Luca; Raich, Andrew
2012
One-parameter families of operators in $$\mathbb C$$. Zbl 1087.32022
Raich, Andrew S.
2006
Heat equations and the weighted $$\bar \partial$$-problem. Zbl 1266.32049
Raich, Andrew
2012
Regularity equivalence of the Szegő projection and the complex Green operator. Zbl 1310.32043
Harrington, Phillip S.; Peloso, Marco M.; Raich, Andrew S.
2015
$$L^{p}$$ estimates for the $$\bar{\partial}$$-equation on a class of infinite type domains. Zbl 1304.32026
Ha, Ly Kim; Khanh, Tran Vu; Raich, Andrew
2014
The $$\square_b$$-heat equation on quadric manifolds. Zbl 1222.32058
Boggess, Albert; Raich, Andrew
2011
Heat kernels, smoothness estimates, and exponential decay. Zbl 1307.32029
Boggess, Albert; Raich, Andrew
2013
Green’s function asymptotics near the internal edges of spectra of periodic elliptic operators: Spectral edge case. Zbl 1257.35080
Kuchment, Peter; Raich, Andrew
2012
Defining functions for unbounded $$C^m$$ domains. Zbl 1288.26008
Harrington, Phillip; Raich, Andrew
2013
Green’s function asymptotics near the internal edges of spectra of periodic elliptic operators. Spectral gap interior. Zbl 1394.35297
Kha, Minh; Kuchment, Peter; Raich, Andrew
2017
A simplified calculation for the fundamental solution to the heat equation on the Heisenberg group. Zbl 1166.32023
Boggess, Albert; Raich, Andrew
2009
Closed range of $$\overline{\partial}$$ in $$L^{2}$$-Sobolev spaces on unbounded domains in $$\mathbb{C}^n$$. Zbl 06817615
Harrington, Phillip S.; Raich, Andrew
2018
Fundamental solutions to $${\square_b}$$ on certain quadrics. Zbl 1277.32048
Boggess, Albert; Raich, Andrew
2013
The Szegő kernel on a class of non-compact CR manifolds of high codimension. Zbl 1326.32013
Raich, Andrew; Tinker, Michael
2015
A remark on boundary estimates on unbounded $$Z(q)$$ domains in $$\mathbb{C}^n$$. Zbl 1380.32035
Harrington, Phillip S.; Raich, Andrew
2017
Global $$L^q$$-Gevrey functions and their applications. Zbl 1376.42030
2017
Infinite ergodic index $$\mathbb{Z}^d$$-actions in infinite measure. Zbl 0940.28014
Muehlegger, E. J.; Raich, A. S.; Silva, C. E.; Touloumtzis, M. P.; Narasimhan, B.; Zhao, W.
1999
Schrödinger operators with $$A_\infty$$ potentials. Zbl 1349.35148
Raich, Andrew; Tinker, Michael
2016
Sobolev spaces and elliptic theory on unbounded domains in $$\mathbb{R}^n$$. Zbl 1301.46015
Harrington, Phillip S.; Raich, Andrew
2014
The Kohn-Laplace equation on abstract CR manifolds: global regularity. Zbl 1453.32044
Tran Vu Khanh; Raich, Andrew
2020
Lightly mixing on dense algebras. Zbl 0943.28020
Muehlegger, Erich J.; Raich, Andrew S.; Silva, Cesar E.; Zhao, Wenhuan
1998
On div-curl for higher order. Zbl 1391.35017
Lanzani, Loredana; Raich, Andrew S.
2014
Closed range estimates for $$\bar{\partial}_b$$ on CR manifolds of hypersurface type. Zbl 1460.32086
Coacalle, Joel; Raich, Andrew
2021
The fundamental solution to $$\Box_b$$ on quadric manifolds. II: $$L^p$$ regularity and invariant normal forms. Zbl 1464.32060
Boggess, Albert; Raich, Andrew
2020
Closed range of $$\overline \partial$$ on unbounded domains in $$\mathbb{C}^n$$. Zbl 1428.32011
Harrington, Phillip S.; Raich, Andrew
2019
Microglobal regularity and the global wavefront set. Zbl 1416.42008
Hoepfner, Gustavo; Raich, Andrew
2019
Global $$L^q$$ Gevrey functions, Paley-Wiener theorems, and the FBI transform. Zbl 1426.42019
Hoepfner, Gustavo; Raich, Andrew
2019
Closed range estimates for $$\bar{\partial}_b$$ on CR manifolds of hypersurface type. Zbl 1460.32086
Coacalle, Joel; Raich, Andrew
2021
The Kohn-Laplace equation on abstract CR manifolds: global regularity. Zbl 1453.32044
Tran Vu Khanh; Raich, Andrew
2020
The fundamental solution to $$\Box_b$$ on quadric manifolds. II: $$L^p$$ regularity and invariant normal forms. Zbl 1464.32060
Boggess, Albert; Raich, Andrew
2020
Closed range of $$\overline \partial$$ on unbounded domains in $$\mathbb{C}^n$$. Zbl 1428.32011
Harrington, Phillip S.; Raich, Andrew
2019
Microglobal regularity and the global wavefront set. Zbl 1416.42008
Hoepfner, Gustavo; Raich, Andrew
2019
Global $$L^q$$ Gevrey functions, Paley-Wiener theorems, and the FBI transform. Zbl 1426.42019
Hoepfner, Gustavo; Raich, Andrew
2019
Closed range of $$\overline{\partial}$$ in $$L^{2}$$-Sobolev spaces on unbounded domains in $$\mathbb{C}^n$$. Zbl 06817615
Harrington, Phillip S.; Raich, Andrew
2018
Green’s function asymptotics near the internal edges of spectra of periodic elliptic operators. Spectral gap interior. Zbl 1394.35297
Kha, Minh; Kuchment, Peter; Raich, Andrew
2017
A remark on boundary estimates on unbounded $$Z(q)$$ domains in $$\mathbb{C}^n$$. Zbl 1380.32035
Harrington, Phillip S.; Raich, Andrew
2017
Global $$L^q$$-Gevrey functions and their applications. Zbl 1376.42030
2017
Schrödinger operators with $$A_\infty$$ potentials. Zbl 1349.35148
Raich, Andrew; Tinker, Michael
2016
Closed range for $$\overline{\partial}$$ and $$\overline{\partial}_b$$ on bounded hypersurfaces in Stein manifolds. (Image fermée pour $$\overline{\partial}$$ et $$\overline{\partial}_b$$ sur les hypersurfaces bornées dans les variétés de Stein.) Zbl 1337.32053
Harrington, Phillip S.; Raich, Andrew S.
2015
Regularity equivalence of the Szegő projection and the complex Green operator. Zbl 1310.32043
Harrington, Phillip S.; Peloso, Marco M.; Raich, Andrew S.
2015
The Szegő kernel on a class of non-compact CR manifolds of high codimension. Zbl 1326.32013
Raich, Andrew; Tinker, Michael
2015
$$L^{p}$$ estimates for the $$\bar{\partial}$$-equation on a class of infinite type domains. Zbl 1304.32026
Ha, Ly Kim; Khanh, Tran Vu; Raich, Andrew
2014
Sobolev spaces and elliptic theory on unbounded domains in $$\mathbb{R}^n$$. Zbl 1301.46015
Harrington, Phillip S.; Raich, Andrew
2014
On div-curl for higher order. Zbl 1391.35017
Lanzani, Loredana; Raich, Andrew S.
2014
Heat kernels, smoothness estimates, and exponential decay. Zbl 1307.32029
Boggess, Albert; Raich, Andrew
2013
Defining functions for unbounded $$C^m$$ domains. Zbl 1288.26008
Harrington, Phillip; Raich, Andrew
2013
Fundamental solutions to $${\square_b}$$ on certain quadrics. Zbl 1277.32048
Boggess, Albert; Raich, Andrew
2013
An Aronsson type approach to extremal quasiconformal mappings. Zbl 1291.30145
Capogna, Luca; Raich, Andrew
2012
Heat equations and the weighted $$\bar \partial$$-problem. Zbl 1266.32049
Raich, Andrew
2012
Green’s function asymptotics near the internal edges of spectra of periodic elliptic operators: Spectral edge case. Zbl 1257.35080
Kuchment, Peter; Raich, Andrew
2012
Regularity results for $$\bar {\partial }_b$$ on CR-manifolds of hypersurface type. Zbl 1216.32025
Harrington, Phillip S.; Raich, Andrew
2011
The $$\square_b$$-heat equation on quadric manifolds. Zbl 1222.32058
Boggess, Albert; Raich, Andrew
2011
Compactness of the complex Green operator on CR-manifolds of hypersurface type. Zbl 1238.32032
Raich, Andrew
2010
A simplified calculation for the fundamental solution to the heat equation on the Heisenberg group. Zbl 1166.32023
Boggess, Albert; Raich, Andrew
2009
Compactness of the complex Green operator. Zbl 1157.32032
Raich, Andrew S.; Straube, Emil J.
2008
Pointwise estimates for relative fundamental solutions of heat equations in $${\mathbb{R} \times \mathbb{C}}$$. Zbl 1115.32024
Raich, Andrew
2007
Heat equations in $$\mathbb {R} \times \mathbb {C}$$. Zbl 1106.32029
Raich, Andrew S.
2006
One-parameter families of operators in $$\mathbb C$$. Zbl 1087.32022
Raich, Andrew S.
2006
Infinite ergodic index $$\mathbb{Z}^d$$-actions in infinite measure. Zbl 0940.28014
Muehlegger, E. J.; Raich, A. S.; Silva, C. E.; Touloumtzis, M. P.; Narasimhan, B.; Zhao, W.
1999
Lightly mixing on dense algebras. Zbl 0943.28020
Muehlegger, Erich J.; Raich, Andrew S.; Silva, Cesar E.; Zhao, Wenhuan
1998
all top 5

#### Cited by 65 Authors

 22 Raich, Andrew S. 9 Katzourakis, Nikolaos I. 8 Ha, Ly Kim 7 Harrington, Phillip S. 6 Boggess, Albert 5 Hoepfner, Gustavo 5 Straube, Emil J. 4 Trần Vũ Khanh 3 Monguzzi, Alessandro 3 Pinton, Stefano 3 Saber, Sayed 2 Biard, Séverine 2 Coacalle, Joel 2 Colombo, Fabrizio 2 González, Denis Deniz 2 Kha, Minh 2 Kuchment, Peter A. 2 Ly, Fu Ken 2 Medrado, R. 2 Peloso, Marco Maria 2 The Anh Bui 2 Tinker, Michael 2 Zampieri, Giuseppe 1 Abdelkader, Osama 1 Abdulsahib, Muhenned 1 Achleitner, Franz 1 Adwan, Ziad 1 An, T. K. 1 Athavale, Ameer 1 Awi, Roméo 1 Benguria, Soledad 1 Berhanu, Shiferaw 1 Berkolaiko, Gregory 1 Brown, B. Malcolm 1 Chakrabarti, Debraj 1 Chang, Der-Chen E. 1 Chen, Luping 1 Croce, Gisella 1 Dall’Ara, Gian Maria 1 Danilenko, Alexandre I. 1 Do, Ngoc T. 1 Duong, Xuan Thinh 1 Gangbo, Wilfrid 1 Hebbar, Pratima 1 Hoang, Vu Ngoc Viet 1 Kałamajska, Agnieszka 1 Khidr, Shaban 1 Koralov, Leonid B. 1 Krbec, Miroslav 1 Kühn, Christian 1 McNeal, Jeffery D. 1 Munasinghe, Samangi 1 Perez, Joe J. 1 Pisante, Giovanni 1 Plum, Michael 1 Pryer, Tristan 1 Silva, Cesar E. 1 Sottile, Frank 1 Street, Brian 1 Van Schaftingen, Jean 1 Wood, Ian Geoffrey 1 Yesuf, Jemal 1 Zaitsev, Dmitri 1 Zelenko, Leonid 1 Zeytuncu, Yunus Ergýn
all top 5

#### Cited in 54 Serials

 10 The Journal of Geometric Analysis 6 Proceedings of the American Mathematical Society 5 Transactions of the American Mathematical Society 3 Journal of Functional Analysis 3 Mathematische Zeitschrift 2 Journal of Mathematical Analysis and Applications 2 Annales de l’Institut Fourier 2 Integral Equations and Operator Theory 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Communications on Pure and Applied Analysis 2 Complex Variables and Elliptic Equations 2 Complex Analysis and Operator Theory 1 American Mathematical Monthly 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Houston Journal of Mathematics 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Journal of Geometry and Physics 1 Czechoslovak Mathematical Journal 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Manuscripta Mathematica 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Results in Mathematics 1 Annals of Global Analysis and Geometry 1 International Journal of Mathematics 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Communications in Partial Differential Equations 1 Bulletin of the American Mathematical Society. New Series 1 Potential Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Electronic Journal of Probability 1 Discrete and Continuous Dynamical Systems 1 The Journal of Fourier Analysis and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Vietnam Journal of Mathematics 1 Abstract and Applied Analysis 1 Revista Matemática Complutense 1 Journal of the Institute of Mathematics of Jussieu 1 Journal of Fixed Point Theory and Applications 1 Asian-European Journal of Mathematics 1 Kyoto Journal of Mathematics 1 S$$\vec{\text{e}}$$MA Journal 1 Concrete Operators 1 Complex Analysis and its Synergies
all top 5

#### Cited in 23 Fields

 50 Several complex variables and analytic spaces (32-XX) 38 Partial differential equations (35-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Operator theory (47-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 Functional analysis (46-XX) 4 Real functions (26-XX) 3 Special functions (33-XX) 3 Abstract harmonic analysis (43-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Quantum theory (81-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Differential geometry (53-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX)