§ 1. Spaces of measures and signed measures. Operations on measures and signed measures (No. 1–5).- § 2. Space of distributions. Operations on distributions (No. 6–10)..- § 3. The Fourier transform of distributions (No. 11–13).- I. Potentials and their basic properties.- § 1. M. Riesz kernels (No. 1–3).- § 2. Superharmonic functions (No. 4–5).- § 3. Definition of potentials and their simplest properties (No. 6–9)...- § 4. Energy. Potentials with finite energy (No. 10–15).- § 5. Representation of superharmonic functions by potentials (No. 16–18).- § 6. Superharmonic functions of fractional order (No. 19–25).- II. Capacity and equilibrium measure.- § 1. Equilibrium measure and capacity of a compact set (No. 1–5).- § 2. Inner and outer capacities and equilibrium measures. Capacitability (No. 6–10).- § 3. Metric properties of capacity (No. 11–14).- §4. Logarithmic capacity (No. 15–18).- III. Sets of capacity zero. Sequences and bounds for potentials.- § 1. Polar sets (No. 1–2).- § 2. Continuity properties of potentials (No. 3–4).- § 3. Sequences of potentials of measures (No. 5–8).- § 4. Metric criteria for sets of capacity zero and bounds for potentials (No. 9–11).- IV. Balayage, Green functions, and the Dirichlet problem.- § 1. Classical balayage out of a region (No. 1–6).- § 2. Balayage for arbitrary compact sets (No. 7–11).- § 3. The generalized Dirichlet problem (No. 12–14).- § 4. The operator approach to the Dirichlet problem and the balayage problem (No. 15–18).- § 5. Balayage for M. Riesz kernels (No. 19–23)...- § 6. Balayage onto Borel sets (No. 24–25).- V. Irregular points.- § 1. Irregular points of Borel sets. Criteria for irregularity (No. 1–6)...- §2. The characteristics and types ofirregular points (No. 7–8)…..- §3. The fine topology (No. 9–11).- § 4. Properties of set of irregular points (No. 12–15).- § 5. Stability of the Dirichlet problem. Approximation of continuous functions by harmonic functions (No. 16–22).- VI. Generalizations.- § 1. Distributions with finite energy and their potentials (No. 1–5)...- §2. Kernels of more general type (No. 6–11).- § 3. Dirichlet spaces (No. 12–15).- Comments and bibliographic references.