23 citations · 78 across the 29 of their papers we have counts for
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math.CV2009
Spectrum of the complex Laplacian on product domains
Debraj Chakrabarti
We show that the spectrum of the complex Laplacian on a product of hermitian manifolds is the Minkowski sum of the spectra of the complex Laplacians on the factors. We use this fac…
math.CV2009★ 2 cited
The Cauchy-Riemann equations on product domains
Debraj Chakrabarti, Mei-Chi Shaw
We establish the theory for the Cauchy-Riemann equations on product domains provided that the Cauchy-Riemann operator has closed range on each factor. We deduce regularity of…
math.CV2009
CR functions on Subanalytic Hypersurfaces
Debraj Chakrabarti, Rasul Shafikov
A general class of singular real hypersurfaces, called subanalytic, is defined. For a subanalytic hypersurface M in C^n, Cauchy-Riemann (or simply CR) functions on M are defined, a…