TY  - JOUR
ID  - Krantz2026
LB  - Krantz2026
AU  - Krantz, Steven G.
TI  - One complex variable versus several complex variables: The Hartogs extension phenomenon in context
ST  - One complex variable versus several complex variables: The Hartogs extension phenomenon in context
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2026
VL  - 46
IS  - 4
SP  - 513
EP  - 520
DO  - https://doi.org/10.7494/OpMath.202607111
UR  - https://doi.org/10.7494/OpMath.202607111
AB  - We explicate the difference between the function theory of one complex variable and the function theory of several complex variables. In particular, we use the inhomogeneous Cauchy-Riemann equations to explain why there is a Hartogs extension phenomenon in several complex variables but not in one complex variable.
KW  - domain
KW  - Hartogs extension phenomenon
KW  - Cauchy-Riemann equations
SN  - 1232-9274
ER  -