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vectors................................................................................9   II.2. Pseudo-isotropic random vectors..................................................................15   II.3. Elliptically contoured vectors..........................................................................23   II.4. α-symmetric random vectors..........................................................................27   II.5. Substable random vectors.............................................................................32 III. Exchangeability and pseudo-isotropy.................................................................35   III.1. Pseudo-isotropic exchangeable sequences.................................................35   III.2. Schoenberg-type theorems..........................................................................40   III.3. Some generalizations...................................................................................43 IV. Stable and substable stochastic processes.....................................................45   IV.1. Gaussian processes and Reproducing Kernel Hilbert Spaces....................45   IV.2. Elliptically contoured processes..................................................................47   IV.3. Symmetric stable stochastic processes......................................................50   IV.4. Spectral representation of symmetric stable processes.............................56   IV.5. Substable and pseudo-isotropic stochastic processes...............................59   IV.6. $L_α $-dependent stochastic integrals.......................................................62   IV.7. Random limit theorems...............................................................................63 V. Infinite divisibility of substable stochastic processes..........................................64   V.1. Infinitely divisible distributions. Lévy measures............................................66   V.2. Approximative logarithm................................................................................68   V.3. Infinite divisibility of substable random vectors..............................................73   V.4. Infinite divisibility of substable processes......................................................77 References...........................................................................................................80 Index......................................................................................................................90