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| Kanwal R.P. — Generalized functions: Theory and technique |
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| Предметный указатель |
Polynomials, Jacobi 378 379 390
Polynomials, Laguerre 375 377 379 387
Polynomials, Legendre 375 376 379 387
Potential barrier 223
probability distribution 390 ff
Probability distribution, binomial 392
Probability distribution, continuous 391
Probability distribution, density 391 ff
Probability distribution, discrete 391
Probability distribution, field 394
Probability distribution, Gaussian 392 393
Probability distribution, Poisson 392
Product of a distribution, with a function 35
Prolate spheroid, acoustic scattering by 311 315
Prolate spheroid, capacity of 294
Prolate spheroid, elastodynamic field for 328
Prolate spheroid, elastostatic field for 322
Prolate spheroid, electric polarizability tensor for 309
Prolate spheroid, magnetic polarizability tensor for 309
Prolate spheroid, polarization potential for 299
Prolate spheroid, polarization tensor for 303—305
Prolate spheroid, stream function for 300
Prolate spheroid, virtual mass tensor for 306 307
Prolate-shaped bodies 295
Prolate-shaped bodies, polarizability tensors for 310
Prolate-shaped bodies, polarization potential of 295
Psuedofunction 30 77
Radial distribution (spherically symmetric) 148 160 163 262
Radon measure 399 404
Radon's problem 102
Random variable 390 ff
Rankine Hugoniot conditions 345 346
Rapidly decaying functions 138 ff
Regular distribution 26 ff
Regular singular function 118 ff
Regularization of distributions 183 184 198 384 385
Regularization of divergent integrals 82 ff
Replicating function 28
Reproducing property 5
Retarded potential 269
Revenue functional 408
Riesz distribution 279 371
Rotlet 318
Sampler data system 369
Sampling function 28 29
Scattering theory 310 ff
Schroedinger operator 259
Schroedinger wave equation 223
Schwartz — Sobolev theory 20 25
Self-adjoint operator 245 246
Sifting property 5 ff
Signum function 43 ff
Single-layer distribution 32 148 165 187 188
Single-layer potential 187 254
Singular distribution 26 ff
Singular surface 337 338
Slender body, capacity of 294
| Slender body, electric polarizability tensor for 309
Slender body, magnetic polarizability tensor for 309
Slender body, polarization tensor for 305
Slender body, virtual mass tensor for 308
Slenderness parameter 294
Sokhotski — Plemelj equations 31
Sound generation, aerodynamic 343
Square wave function 210
Stationary process 399
Step function 1
Step response 362 363
Stieltjes integral 71
Stochastic process 397
Stokes flow 317 324
Stream function 292 293
Strength of the shock front 346
Stresslet 321 327
Sturm — Liouville problem 223 224 227
Superposition principle 361
Support of a distribution 47
Support of a function 21 ff
Support, compact 22 ff
Support, singular 47 48
Surface distribution 32 113
Symbolic function 27
system 360 ff
System, discrete time 369 370
System, linear 361 ff
System, relaxed 361
System, time invariant 362 366
Tempered beam, deflection of 236 237
Tempered distributions 137 139
Test functions 22 ff
Test functions of compact support 22
Test functions of exponential decay 201
Test functions of rapid decay 138
Time-invariant system 362 366
Transfer function 366 367
Transformation properties of distributions 52—58
Transport operator 251
Uniform axial distributions 294
Unit dipole 14 ff
Unit step function 1
Variance 392
Virtual mass tensor 306
Volterra integral equation 409
Volume potential 187 see
Vortex sheet 136
Wave equation 18 194
Wave operator 246 ff
Weak convergence 59 404
Weak limit 184
Weak solution 212
Weak topology 402
Weierstrass's approximation theorem 19
wronskian 228
z-transform 369 370
Zero state response 368
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