Librería Samer Atenea
Librería Aciertas (Toledo)
Kálamo Books
Librería Perelló (Valencia)
Librería Elías (Asturias)
Donde los libros
Librería Kolima (Madrid)
Librería Proteo (Málaga)
1. Residue Currents in one Dimension. Different Approaches.- 1. Residue attached to a holomorphic function.- 2. Some other approaches to the residue current.- 3. Some variants of the classical Pompeiu formula.- 4. Some applications of Pompeiu’s formulas. Local results.- 5. Some applications of Pompeiu’s formulas. Global results.- References for Chapter 1.- 2. Integral Formulas in Several Variables.- 1. Chains and cochains, homology and cohomology.- 2. Cauchy’s formula for test functions.- 3. Weighted Bochner-Martinelli formulas.- 4. Weighted Andreotti-Norguet formulas.- 5. Applications to systems of algebraic equations.- References for Chapter 2.- 3. Residue Currents and Analytic Continuation.- 1. Leray iterated residues.- 2. Multiplication of principal values and residue currents.- 3. The Dolbeault complex and the Grothendieck residue.- 4. Residue currents.- 5. The local duality theorem.- References for Chapter 3.- 4. The Cauchy-Weil Formula and its Consequences.- 1. The Cauchy-Weil formula.- 2. The Grothendieck residue in the discrete case.- 3. The Grothendieck residue in the algebraic case.- References for Chapter 4.- 5. Applications to Commutative Algebra and Harmonic Analysis.- 1. An analytic proof of the algebraic Nullstellensatz.- 2. The membership problem.- 3. The Fundamental Principle of L. Ehrenpreis.- 4. The role of the Mellin transform.- References for Chapter 5.
