Knowledge (XXG)

Category:Generalized functions

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The following 39 pages are in this category, out of 39 total.
25:This category has only the following subcategory. 8: 317:Spaces of test functions and distributions 54:Pages in category "Generalized functions" 59:This list may not reflect recent changes 7: 16:Also known as "Distribution Theory" 161:Fourier–Bros–Iagolnitzer transform 63: 27: 19: 14: 244:Multiscale Green's function 322:Symmetry of second derivatives 1: 283:Pseudo-differential operator 188:Green's function number 403: 222:Laplacian of the indicator 144:Distribution (mathematics) 273:Poisson summation formula 156:Fourier inversion theorem 205:Homogeneous distribution 307:Schwartz kernel theorem 200:Heaviside step function 227:Limit of distributions 107:Cauchy principal value 38:Schwartz distributions 183:Green's function 122:Current (mathematics) 368:White noise analysis 312:Singularity function 295:Rigged Hilbert space 268:Paley–Wiener theorem 256:Oscillatory integral 178:Gelfand–Shilov space 166:Fundamental solution 139:Dirac delta function 112:Convolution quotient 71:Generalized function 239:Microlocal analysis 387:Types of functions 83:Algebraic analysis 394: 342: 43: 402: 401: 397: 396: 395: 393: 392: 391: 377: 376: 375: 374: 373: 372: 358:Weak derivative 345: 338: 326: 299: 287: 260: 248: 231: 214: 192: 170: 148: 126: 117:Crenel function 99: 87: 75: 51: 50: 49: 48: 45: 44: 18: 12: 11: 5: 400: 398: 390: 389: 379: 378: 371: 370: 365: 360: 355: 353:Wave front set 349: 346: 344: 343: 336: 330: 327: 325: 324: 319: 314: 309: 303: 300: 298: 297: 291: 288: 286: 285: 280: 278:Principal part 275: 270: 264: 261: 259: 258: 252: 249: 247: 246: 241: 235: 232: 230: 229: 224: 218: 215: 213: 212: 207: 202: 196: 193: 191: 190: 185: 180: 174: 171: 169: 168: 163: 158: 152: 149: 147: 146: 141: 136: 130: 127: 125: 124: 119: 114: 109: 103: 100: 98: 97: 91: 88: 86: 85: 79: 76: 74: 73: 67: 65: 64: 55: 52: 47: 46: 36: 35: 32: 29: 28: 23: 20: 13: 10: 9: 6: 4: 3: 2: 399: 388: 385: 384: 382: 369: 366: 364: 363:Weak solution 361: 359: 356: 354: 351: 350: 347: 341: 337: 335: 332: 331: 328: 323: 320: 318: 315: 313: 310: 308: 305: 304: 301: 296: 293: 292: 289: 284: 281: 279: 276: 274: 271: 269: 266: 265: 262: 257: 254: 253: 250: 245: 242: 240: 237: 236: 233: 228: 225: 223: 220: 219: 216: 211: 210:Hyperfunction 208: 206: 203: 201: 198: 197: 194: 189: 186: 184: 181: 179: 176: 175: 172: 167: 164: 162: 159: 157: 154: 153: 150: 145: 142: 140: 137: 135: 132: 131: 128: 123: 120: 118: 115: 113: 110: 108: 105: 104: 101: 96: 93: 92: 89: 84: 81: 80: 77: 72: 69: 68: 66: 62: 60: 53: 39: 34: 33: 30: 26: 22:Subcategories 21: 17: 340:Unit impulse 334:Unit doublet 56: 24: 15: 134:Dirac comb 95:Boehmians 381:Category 42:(27 P) 383:: 61:. 40:‎ 348:W 329:U 302:S 290:R 263:P 251:O 234:M 217:L 195:H 173:G 151:F 129:D 102:C 90:B 78:A 31:S

Index

Schwartz distributions
This list may not reflect recent changes
Generalized function
Algebraic analysis
Boehmians
Cauchy principal value
Convolution quotient
Crenel function
Current (mathematics)
Dirac comb
Dirac delta function
Distribution (mathematics)
Fourier inversion theorem
Fourier–Bros–Iagolnitzer transform
Fundamental solution
Gelfand–Shilov space
Green's function
Green's function number
Heaviside step function
Homogeneous distribution
Hyperfunction
Laplacian of the indicator
Limit of distributions
Microlocal analysis
Multiscale Green's function
Oscillatory integral
Paley–Wiener theorem
Poisson summation formula
Principal part
Pseudo-differential operator

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