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1991, 1, Studies in advanced mathematics., ISBN 084937152X, Volume 1, xvii, 364
CR Manifolds and the Tangential Cauchy Riemann Complex provides an elementary introduction to CR manifolds and the tangential Cauchy-Riemann Complex and... 
CR submanifolds | Cauchy-Riemann equations | Mathematical Physics | Differential Equations
Book
Journal of Fourier Analysis and Applications, ISSN 1069-5869, 2/2013, Volume 19, Issue 1, pp. 180 - 224
Journal Article
Journal of Geometric Analysis, ISSN 1050-6926, 10/2013, Volume 23, Issue 4, pp. 1729 - 1752
...J Geom Anal (2013) 23:1729–1752 DOI 10.1007/s12220-012-9303-7 Fundamental Solutions to b on Certain Quadrics Albert Boggess · Andrew Raich Received: 26 October... 
Heisenberg group | 33C45 | 35H20 | Complex Green operator | Mathematics | 43A80 | Abstract Harmonic Analysis | Fundamental solution | 32W10 | Fourier Analysis | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | Kohn Laplacian | Lie group | Quadrics | Differential Geometry | Dynamical Systems and Ergodic Theory
Journal Article
Journal of Geometric Analysis, ISSN 1050-6926, 4/2011, Volume 21, Issue 2, pp. 256 - 275
...J Geom Anal (2011) 21: 256–275 DOI 10.1007/s12220-010-9146-z The b -Heat Equation on Quadric Manifolds Albert Boggess · Andrew Raich Received: 4 July 2009... 
Heisenberg group | 33C45 | Heat equation | Quadric manifold | Heat kernel | Mathematics | 43A80 | Abstract Harmonic Analysis | Fundamental solution | Fourier Analysis | 32W30 | Convex and Discrete Geometry | 35K08 | Global Analysis and Analysis on Manifolds | Kohn Laplacian | Lie group | Dynamical Systems and Ergodic Theory | Differential Geometry
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 03/2009, Volume 137, Issue 3, pp. 937 - 944
Let \mathcal {L}_\gamma = -\frac {1}{4} \left ( \sum _{j=1}^n(X_j^2+Y_j^2)+i\gamma T \right ) where \gamma \in \mathbb {C}, and X_j, Y_j and T are the... 
Spatial variability | Differential operators | Heat equation | Vector fields | Fourier transformations | Laplacians | Kronecker delta function | Group structure | Heat kernel | Fundamental solution | Heisenberg group | Kohn laplacian | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
Journal Article
The Astrophysical Journal, ISSN 0004-637X, 05/1999, Volume 516, Issue 2, pp. 750 - 768
Journal Article
Pacific journal of mathematics, ISSN 0030-8730, 2001, Volume 201, Issue 1, pp. 1 - 18
Journal Article
The Journal of geometric analysis, ISSN 1050-6926, 10/2013, Volume 23, Issue 4, pp. 1729 - 1752
The purpose of this article is to expand the number of examples for which the complex Green operator, that is, the fundamental solution to the Kohn Laplacian,... 
Physical Sciences | Mathematics | Science & Technology
Journal Article
The Journal of geometric analysis, ISSN 1050-6926, 10/2013, Volume 23, Issue 4, p. 1729
The purpose of this article is to expand the number of examples for which the complex Green operator, that is, the fundamental solution to the Kohn Laplacian,... 
Journal Article
The Journal of geometric analysis, ISSN 1050-6926, 04/2011, Volume 21, Issue 2, pp. 256 - 275
In this article, we give an explicit calculation of the partial Fourier transform of the fundamental solution to the square(b)-heat equation on quadric... 
Physical Sciences | Mathematics | Science & Technology
Journal Article
The Journal of geometric analysis, ISSN 1050-6926, 04/2011, Volume 21, Issue 2, p. 256
In this article, we give an explicit calculation of the partial Fourier transform of the fundamental solution to the a!.sub.b-heat equation on quadric... 
Journal Article
10/2011
J. Geom. Analysis, 23(4):1729-1752, 2013 The purpose of this article is to expand the number of examples for which the complex Green operator, that is, the... 
Journal Article
04/2010
J. Fourier Anal. Appl., 19:180-224, 2013 In this article, we establish Gaussian decay for the Box_b-heat kernel on polynomial models in C^2. Our technique... 
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 3/2006, Volume 134, Issue 3, pp. 723 - 730
We define a class of generic CR submanifolds of C of real codimension d, , called the Bloom-Graham model graphs, whose graphing functions are partially... 
Integers | Mathematical manifolds | Approximation | Mathematical theorems | Integrands | Entire functions | Mathematical functions | Graph theory | Region of integration
Journal Article
07/2009
J. Geom. Anal. 21:256-275, 2011 In this article, we give an explicit calculation of the partial Fourier transform of the $\Box_b$-heat equation on quadric... 
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 03/2006, Volume 134, Issue 3, pp. 723 - 730
We define a class of generic CR submanifolds of \mathbb{C}^n of real codimension d, 1\leq d\leq n, called the Bloom-Graham model graphs, whose graphing... 
Journal Article
Pacific journal of mathematics, ISSN 0030-8730, 11/2001, Volume 201, Issue 1, pp. 1 - 18
Journal Article
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